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2019 | OriginalPaper | Buchkapitel

31. Validation of Agent-Based Models in Economics and Finance

verfasst von : Giorgio Fagiolo, Mattia Guerini, Francesco Lamperti, Alessio Moneta, Andrea Roventini

Erschienen in: Computer Simulation Validation

Verlag: Springer International Publishing

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Abstract

Since the survey by Windrum et al. (Journal of Artificial Societies and Social Simulation 10:8, 2007), research on empirical validation of agent-based models in economics has made substantial advances, thanks to a constant flow of high-quality contributions. This Chapter attempts to take stock of such recent literature to offer an updated critical review of the existing validation techniques. We sketch a simple theoretical framework that conceptualizes existing validation approaches, which we examine along three different dimensions: (i) comparison between artificial and real-world data; (ii) calibration and estimation of model parameters; and (iii) parameter space exploration. Finally, we discuss open issues in the field of ABM validation and estimation. In particular, we argue that more research efforts should be devoted toward advancing hypothesis testing in ABM, with specific emphasis on model stationarity and ergodicity.

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Fußnoten
1
The validation process might also take different perspectives. In particular, as reported by Burton and Obel (1995), the model’s assumptions and abstractions have to be judged accordingly with the model’s purpose. In this paper, we mostly focus on validation of policy-oriented, descriptive agent-based economic and financial models.
 
2
However, also other viable strategies are available: see, for example, the calibration approach proposed by Werker and Brenner (2004); Brenner and Werker (2007) and the history friendly models developed by Malerba et al. (1999).
 
3
In that there is a major departure with respect to neoclassical models, where the (representative) agent has axiomatic preferences and maximizes some smooth objective function with an easily computable bliss point.
 
4
This is also one of the critiques that is usually addressed to ACE. Since ABMs do not stick to some generally accepted axiomatic rule of behavior, they introduce discretionary choices that the modeler shall take. We will see how practitioners have coped with this issue in Sect. 31.4.2.1. A possible solution to discipline the construction phase of an ABMs has been put forward by Grimm et al. (2006) and is called the ODD protocol (from “Overview, Design concepts, and Details”).
 
5
As stated in Turrell (2016), the first agent-based model was developed in the 30s by the physicist Enrico Fermi in order to study the transport of neutrons through matter. Fermi’s agent-based technique was later called Monte Carlo method (Metropolis and Ulam 1949).
 
6
In Sect. 31.4.2, we will discuss the tools available for the verification and validation of ABMs.
 
7
One can also study the basins of attraction of the dynamical system to study the robustness with respect to initial conditions.
 
8
In agent- based modeling, some of the standard validity aspects that are relevant in many fields of numerical simulations are not an issue; for example, systems are always represented in discrete time and, hence, discretization errors are not possible. Further, low emphasis is usually posed on code verification.
 
9
See also Secchi and Seri (2017) on the issue of selecting the number of times a computational model should be run.
 
10
Level 0 models can be somehow accepted if their aim is merely exploratory rather than descriptive.
 
11
See, for example, Dosi et al. (2010, 2013, 2015, 2016a) for replication of business cycle and growth stylized facts; Dosi et al. (2017a) for accounting of labor-market micro and macro regularities; Popoyan et al. (2017) for the reproduction of many credit and interbank market properties; Lamperti et al. (2018a, b) for capturing coevolution of economic fundamentals with energy and emission quantities; Pellizzari and Dal Forno (2007); Leal et al. (2016) for simulating financial market booms and busts.
 
12
For a discussion of calibration and testability, see Chap. 40 by Frisch in this volume.
 
13
Benchmark models are, for example, the Brock and Hommes (1998) asset pricing model and the Kirman (1991) speculative bubbles model.
 
14
See also Boswijk et al. (2007); Bianchi et al. (2008b); Goldbaum and Mizrach (2008); Franke (2009); de Jong et al. (2010); Franke and Westerhoff (2012); Chiarella et al. (2014); Platt and Gebbie (2016).
 
15
For robustness of the model, we here mean the stability of the results to small variations of the parameters. See also Lorscheid et al. (2012) and Thiele et al. (2014).
 
16
See also Chap. 12 by Marks in this volume.
 
17
For other interesting approaches on pattern-based validation see Barde (2016b) and Marks (2018).
 
18
VAR-LiNGAM stands for Vector Autoregressive Linear Non-Gaussian Acyclic Model.
 
19
Coupling NOLH with kriging meta- modeling has been frequently used to approximate the output of computer simulation models (see, for example, McKay et al. 1979; Salle and Yıldızoğlu 2014; Bargigli et al. 2016).
 
20
The interested reader might want to look at Thiele et al. (2014) for a cookbook guiding model exploration and sensitivity and Grimm et al. (2005) for a pattern-oriented approach at model building and evaluation.
 
Literatur
Zurück zum Zitat Alfarano, S., Lux, T., & Wagner, F. (2005). Estimation of agent-based models: The case of an asymmetric herding model. Computational Economics, 26(1), 19–49.MATHCrossRef Alfarano, S., Lux, T., & Wagner, F. (2005). Estimation of agent-based models: The case of an asymmetric herding model. Computational Economics, 26(1), 19–49.MATHCrossRef
Zurück zum Zitat Alfarano, S., Lux, T., & Wagner, F. (2006). Estimation of a simple agent-based model of financial markets: An application to Australian stock and foreign exchange data. Physica A: Statistical Mechanics and its Applications, 370(1), 38–42.MathSciNetCrossRef Alfarano, S., Lux, T., & Wagner, F. (2006). Estimation of a simple agent-based model of financial markets: An application to Australian stock and foreign exchange data. Physica A: Statistical Mechanics and its Applications, 370(1), 38–42.MathSciNetCrossRef
Zurück zum Zitat Anufriev, M., Bao, T., & Tuinstra, J. (2016). Microfoundations for switching behavior in heterogeneous agent models: An experiment. Journal of Economic Behavior & Organization, 129(C):74–99. Anufriev, M., Bao, T., & Tuinstra, J. (2016). Microfoundations for switching behavior in heterogeneous agent models: An experiment. Journal of Economic Behavior & Organization, 129(C):74–99.
Zurück zum Zitat Anufriev, M., & Hommes, C. (2012). Evolutionary selection of individual expectations and aggregate outcomes in asset pricing experiments. American Economic Journal: Microeconomics, 4(4), 35–64. Anufriev, M., & Hommes, C. (2012). Evolutionary selection of individual expectations and aggregate outcomes in asset pricing experiments. American Economic Journal: Microeconomics, 4(4), 35–64.
Zurück zum Zitat Assenza, T., Delli Gatti, D., & Grazzini, J. (2015). Emergent dynamics of a macroeconomic agent based model with capital and credit. Journal of Economic Dynamics and Control, 50(C):5–28. Assenza, T., Delli Gatti, D., & Grazzini, J. (2015). Emergent dynamics of a macroeconomic agent based model with capital and credit. Journal of Economic Dynamics and Control, 50(C):5–28.
Zurück zum Zitat Assenza, T., Heemeijer, P., Hommes, C., & Massaro, D. (2013). Individual expectations and aggregate macro behavior. Tinbergen Institute Discussion Papers 13-016/II, Tinbergen Institute. Assenza, T., Heemeijer, P., Hommes, C., & Massaro, D. (2013). Individual expectations and aggregate macro behavior. Tinbergen Institute Discussion Papers 13-016/II, Tinbergen Institute.
Zurück zum Zitat Axelrod, R. (1997). The complexity of cooperation: Agent-based models of competition and collaboration. Princeton University Press. Axelrod, R. (1997). The complexity of cooperation: Agent-based models of competition and collaboration. Princeton University Press.
Zurück zum Zitat Axtell, R. L., & Epstein, J. M. (1994). Agent-based modeling: Understanding our creations. The Bulletin of the Santa Fe Institute, 9(2), 28–32. Axtell, R. L., & Epstein, J. M. (1994). Agent-based modeling: Understanding our creations. The Bulletin of the Santa Fe Institute, 9(2), 28–32.
Zurück zum Zitat Barde, S. (2016a). Direct comparison of agent-based models of herding in financial markets. Journal of Economic Dynamics and Control, 73(C):329–353.MathSciNetMATHCrossRef Barde, S. (2016a). Direct comparison of agent-based models of herding in financial markets. Journal of Economic Dynamics and Control, 73(C):329–353.MathSciNetMATHCrossRef
Zurück zum Zitat Barde, S. (2016b). A practical, accurate, information criterion for nth order markov processes. Computational Economics, 1–44. Barde, S. (2016b). A practical, accurate, information criterion for nth order markov processes. Computational Economics, 1–44.
Zurück zum Zitat Barde, S., & van der Hoog, S. (2017). An empirical validation protocol for large-scale agent-based models. Studies in Economics 1712, School of Economics, University of Kent. Barde, S., & van der Hoog, S. (2017). An empirical validation protocol for large-scale agent-based models. Studies in Economics 1712, School of Economics, University of Kent.
Zurück zum Zitat Bargigli, L., Riccetti, L., Russo, A., & Gallegati, M. (2016). Network calibration and metamodeling of a financial accelerator agent based model. Technical report, Università Politecnica delle Marche. Bargigli, L., Riccetti, L., Russo, A., & Gallegati, M. (2016). Network calibration and metamodeling of a financial accelerator agent based model. Technical report, Università Politecnica delle Marche.
Zurück zum Zitat Battiston, S., Farmer, J. D., Flache, A., Garlaschelli, D., Haldane, A. G., Heesterbeek, H., et al. (2016). Complexity theory and financial regulation. Science, 351(6275), 818–819.CrossRef Battiston, S., Farmer, J. D., Flache, A., Garlaschelli, D., Haldane, A. G., Heesterbeek, H., et al. (2016). Complexity theory and financial regulation. Science, 351(6275), 818–819.CrossRef
Zurück zum Zitat Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. (2007). Validating and calibrating agent-based models: A case study. Computational Economics, 30, 245–264.MATHCrossRef Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. (2007). Validating and calibrating agent-based models: A case study. Computational Economics, 30, 245–264.MATHCrossRef
Zurück zum Zitat Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. (2008a). Validation in agent-based models: An investigation on the CATS model. Journal of Economic Behavior & Organization, 67, 947–964.CrossRef Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. (2008a). Validation in agent-based models: An investigation on the CATS model. Journal of Economic Behavior & Organization, 67, 947–964.CrossRef
Zurück zum Zitat Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. A. (2008b). Validation in agent-based models: An investigation on the CATS model. Journal of Economic Behavior & Organization, 67(3–4), 947–964.CrossRef Bianchi, C., Cirillo, P., Gallegati, M., & Vagliasindi, P. A. (2008b). Validation in agent-based models: An investigation on the CATS model. Journal of Economic Behavior & Organization, 67(3–4), 947–964.CrossRef
Zurück zum Zitat Boswijk, H. P., Hommes, C. H., & Manzan, S. (2007). Behavioral heterogeneity in stock prices. Journal of Economic Dynamics and Control, 31(6), 1938–1970.MathSciNetMATHCrossRef Boswijk, H. P., Hommes, C. H., & Manzan, S. (2007). Behavioral heterogeneity in stock prices. Journal of Economic Dynamics and Control, 31(6), 1938–1970.MathSciNetMATHCrossRef
Zurück zum Zitat Breiman, L., Friedman, J., Stone, C. J., & Olshen, R. A. (1984). Classification and regression trees. CRC Press. Breiman, L., Friedman, J., Stone, C. J., & Olshen, R. A. (1984). Classification and regression trees. CRC Press.
Zurück zum Zitat Brenner, T., & Werker, C. (2007). A taxonomy of inference in simulation models. Computational Economics, 30(3), 227–244.CrossRef Brenner, T., & Werker, C. (2007). A taxonomy of inference in simulation models. Computational Economics, 30(3), 227–244.CrossRef
Zurück zum Zitat Brock, W. A. (1999). Scaling in economics: A reader’s guide. Industrial and Corporate Change, 8(3), 409–446.MathSciNetCrossRef Brock, W. A. (1999). Scaling in economics: A reader’s guide. Industrial and Corporate Change, 8(3), 409–446.MathSciNetCrossRef
Zurück zum Zitat Brock, W. A., & Hommes, C. H. (1998). Heterogeneous beliefs and routes to chaos in a simple asset pricing model. Journal of Economic Dynamics and Control, 22(8–9), 1235–1274.MathSciNetMATHCrossRef Brock, W. A., & Hommes, C. H. (1998). Heterogeneous beliefs and routes to chaos in a simple asset pricing model. Journal of Economic Dynamics and Control, 22(8–9), 1235–1274.MathSciNetMATHCrossRef
Zurück zum Zitat Burton, R. M., & Obel, B. (1995). The validity of computational models in organization science: From model realism to purpose of the model. Computational & Mathematical Organization Theory, 1(1), 57–71.CrossRef Burton, R. M., & Obel, B. (1995). The validity of computational models in organization science: From model realism to purpose of the model. Computational & Mathematical Organization Theory, 1(1), 57–71.CrossRef
Zurück zum Zitat Canova, F., & Sala, L. (2009). Back to square one: Identification issues in DSGE models. Journal of Monetary Economics, 56(4), 431–449.CrossRef Canova, F., & Sala, L. (2009). Back to square one: Identification issues in DSGE models. Journal of Monetary Economics, 56(4), 431–449.CrossRef
Zurück zum Zitat Chen, S.-H., Chang, C.-L., & Du, Y.-R. (2012). Agent-based economic models and econometrics. The Knowledge Engineering Review, 27(2), 187–219.CrossRef Chen, S.-H., Chang, C.-L., & Du, Y.-R. (2012). Agent-based economic models and econometrics. The Knowledge Engineering Review, 27(2), 187–219.CrossRef
Zurück zum Zitat Chen, T., & Guestrin, C. (2016). Xgboost: A scalable tree boosting system. In Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (pp. 785–794). ACM. Chen, T., & Guestrin, C. (2016). Xgboost: A scalable tree boosting system. In Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (pp. 785–794). ACM.
Zurück zum Zitat Chiarella, C., He, X.-Z., & Zwinkels, R. C. (2014). Heterogeneous expectations in asset pricing: Empirical evidence from the S&P500. Journal of Economic Behavior & Organization, 105(C):1–16. Chiarella, C., He, X.-Z., & Zwinkels, R. C. (2014). Heterogeneous expectations in asset pricing: Empirical evidence from the S&P500. Journal of Economic Behavior & Organization, 105(C):1–16.
Zurück zum Zitat Ciarli, T. (2012). Structural interactions and long run growth: An application of experimental design to agent-based models. Revue de l’OFCE, 124, 295–345. Ciarli, T. (2012). Structural interactions and long run growth: An application of experimental design to agent-based models. Revue de l’OFCE, 124, 295–345.
Zurück zum Zitat Dawid, H. & Delli Gatti, H. (2018). Chapter 2 - agent-based macroeconomics. In C. Hommes & B. LeBaron (Eds.), Handbook of computational economics (Vol. 4, pp. 63–156). Elsevier. Dawid, H. & Delli Gatti, H. (2018). Chapter 2 - agent-based macroeconomics. In C. Hommes & B. LeBaron (Eds.), Handbook of computational economics (Vol. 4, pp. 63–156). Elsevier.
Zurück zum Zitat Dawid, H., Harting, P., van der Hoog, S., & Neugart, M. (2016). A heterogeneous agent macroeconomic model for policy evaluation: Improving transparency and reproducibility. Dawid, H., Harting, P., van der Hoog, S., & Neugart, M. (2016). A heterogeneous agent macroeconomic model for policy evaluation: Improving transparency and reproducibility.
Zurück zum Zitat de Jong, E., Verschoor, W. F., & Zwinkels, R. C. (2010). Heterogeneity of agents and exchange rate dynamics: Evidence from the EMS. Journal of International Money and Finance, 29(8), 1652–1669.CrossRef de Jong, E., Verschoor, W. F., & Zwinkels, R. C. (2010). Heterogeneity of agents and exchange rate dynamics: Evidence from the EMS. Journal of International Money and Finance, 29(8), 1652–1669.CrossRef
Zurück zum Zitat Del Negro, M., & Schorfheide, F. (2006). How good is what you’ve got? DSGE-VAR as a toolkit for evaluating DSGE models. Economic Review, (Q 2):21–37. Del Negro, M., & Schorfheide, F. (2006). How good is what you’ve got? DSGE-VAR as a toolkit for evaluating DSGE models. Economic Review, (Q 2):21–37.
Zurück zum Zitat Dieci, R., & He, X.-Z. (2018). Chapter 5 - heterogeneous agent models in finance. In C. Hommes & B. LeBaron (Eds.), Handbook of computational economics (Vol. 4, pp. 257–328). Elsevier. Dieci, R., & He, X.-Z. (2018). Chapter 5 - heterogeneous agent models in finance. In C. Hommes & B. LeBaron (Eds.), Handbook of computational economics (Vol. 4, pp. 257–328). Elsevier.
Zurück zum Zitat Dosi, G., Fagiolo, G., Napoletano, M., & Roventini, A. (2013). Income distribution, credit and fiscal policies in an agent-based keynesian model. Journal of Economic Dynamics and Control, 37(8), 1598–1625.MathSciNetMATHCrossRef Dosi, G., Fagiolo, G., Napoletano, M., & Roventini, A. (2013). Income distribution, credit and fiscal policies in an agent-based keynesian model. Journal of Economic Dynamics and Control, 37(8), 1598–1625.MathSciNetMATHCrossRef
Zurück zum Zitat Dosi, G., Fagiolo, G., Napoletano, M., Roventini, A., & Treibich, T. (2015). Fiscal and monetary policies in complex evolving economies. Journal of Economic Dynamics and Control, 52, 166–189.MathSciNetMATHCrossRef Dosi, G., Fagiolo, G., Napoletano, M., Roventini, A., & Treibich, T. (2015). Fiscal and monetary policies in complex evolving economies. Journal of Economic Dynamics and Control, 52, 166–189.MathSciNetMATHCrossRef
Zurück zum Zitat Dosi, G., Fagiolo, G., & Roventini, A. (2010). Schumpeter meeting keynes: A policy-friendly model of endogenous growth and business cycles. Journal of Economic Dynamics and Control, 34(9), 1748–1767.MathSciNetMATHCrossRef Dosi, G., Fagiolo, G., & Roventini, A. (2010). Schumpeter meeting keynes: A policy-friendly model of endogenous growth and business cycles. Journal of Economic Dynamics and Control, 34(9), 1748–1767.MathSciNetMATHCrossRef
Zurück zum Zitat Dosi, G., Napoletano, M., Roventini, A., & Treibich, T. (2016a). Micro and macro policies in the Keynes+Schumpeter evolutionary models. Journal of Evolutionary Economics, forthcoming, 1–28. Dosi, G., Napoletano, M., Roventini, A., & Treibich, T. (2016a). Micro and macro policies in the Keynes+Schumpeter evolutionary models. Journal of Evolutionary Economics, forthcoming, 1–28.
Zurück zum Zitat Dosi, G., Pereira, M., Roventini, A., & Virgilito, M. E. (2017a). When more flexibility yields more fragility: The microfoundations of keynesian aggregate unemployment. Journal of Economic Dynamics & Control, 81, 162–186.MathSciNetMATHCrossRef Dosi, G., Pereira, M., Roventini, A., & Virgilito, M. E. (2017a). When more flexibility yields more fragility: The microfoundations of keynesian aggregate unemployment. Journal of Economic Dynamics & Control, 81, 162–186.MathSciNetMATHCrossRef
Zurück zum Zitat Dosi, G., Pereira, M. C., Roventini, A., & Virgillito, M. E. (2016b). The effects of labour market reforms upon unemployment and income inequalities: An agent based model (LEM Working Papers 2016/27). Scuola Superiore Sant’Anna. Dosi, G., Pereira, M. C., Roventini, A., & Virgillito, M. E. (2016b). The effects of labour market reforms upon unemployment and income inequalities: An agent based model (LEM Working Papers 2016/27). Scuola Superiore Sant’Anna.
Zurück zum Zitat Dosi, G., Pereira, M. C., Roventini, A., & Virgillito, M. E. (2017b). Causes and consequences of hysteresis: Aggregate demand, productivity and employment (LEM Working Papers 2017/07). Scuola Superiore Sant’Anna. Dosi, G., Pereira, M. C., Roventini, A., & Virgillito, M. E. (2017b). Causes and consequences of hysteresis: Aggregate demand, productivity and employment (LEM Working Papers 2017/07). Scuola Superiore Sant’Anna.
Zurück zum Zitat Dosi, G., Pereira, M. C., & Virgillito, M. E. (2017c). On the robustness of the fat-tailed distribution of firm growth rates: A global sensitivity analysis. Journal of Economic Interaction and Coordination, 1–21. Dosi, G., Pereira, M. C., & Virgillito, M. E. (2017c). On the robustness of the fat-tailed distribution of firm growth rates: A global sensitivity analysis. Journal of Economic Interaction and Coordination, 1–21.
Zurück zum Zitat Epstein, J. M., & Axtell, R. (1996). Growing artificial societies: Social science from the bottom up. Brookings Institution Press. Epstein, J. M., & Axtell, R. (1996). Growing artificial societies: Social science from the bottom up. Brookings Institution Press.
Zurück zum Zitat Fabretti, A. (2013). On the problem of calibrating an agent based model for financial markets. Journal of Economic Interaction and Coordination, 8(2), 277–293.CrossRef Fabretti, A. (2013). On the problem of calibrating an agent based model for financial markets. Journal of Economic Interaction and Coordination, 8(2), 277–293.CrossRef
Zurück zum Zitat Fagiolo, G., & Dosi, G. (2003). Exploitation, exploration and innovation in a model of endogenous growth with locally interacting agents. Structural Change and Economic Dynamics, 14, 237–273.CrossRef Fagiolo, G., & Dosi, G. (2003). Exploitation, exploration and innovation in a model of endogenous growth with locally interacting agents. Structural Change and Economic Dynamics, 14, 237–273.CrossRef
Zurück zum Zitat Fagiolo, G., & Roventini, A. (2012). Macroeconomic policy in DSGE and agent-based models. Revue de l’OFCE, 0(5), 67–116. Fagiolo, G., & Roventini, A. (2012). Macroeconomic policy in DSGE and agent-based models. Revue de l’OFCE, 0(5), 67–116.
Zurück zum Zitat Fagiolo, G., & Roventini, A. (2017). Macroeconomic policy in DSGE and agent-based models redux: New developments and challenges ahead. Journal of Artificial Societies and Social Simulation, 20(1). Fagiolo, G., & Roventini, A. (2017). Macroeconomic policy in DSGE and agent-based models redux: New developments and challenges ahead. Journal of Artificial Societies and Social Simulation, 20(1).
Zurück zum Zitat Farmer, D. J., & Foley, D. (2009). The economy needs agent-based modelling. Nature, 460, 685–686.CrossRef Farmer, D. J., & Foley, D. (2009). The economy needs agent-based modelling. Nature, 460, 685–686.CrossRef
Zurück zum Zitat Fernández-Villaverde, J., Ramírez, J. F. R., & Schorfheide, F. (2016). Solution and Estimation Methods for DSGE Models (NBER Working Papers 21862). National Bureau of Economic Research, Inc. Fernández-Villaverde, J., Ramírez, J. F. R., & Schorfheide, F. (2016). Solution and Estimation Methods for DSGE Models (NBER Working Papers 21862). National Bureau of Economic Research, Inc.
Zurück zum Zitat Fernández-Villaverde, J., & Rubio-Ramírez, J. F. (2007). Estimating macroeconomic models: A likelihood approach. Review of Economic Studies, 74(4), 1059–1087.MathSciNetMATHCrossRef Fernández-Villaverde, J., & Rubio-Ramírez, J. F. (2007). Estimating macroeconomic models: A likelihood approach. Review of Economic Studies, 74(4), 1059–1087.MathSciNetMATHCrossRef
Zurück zum Zitat Franke, R. (2009). Applying the method of simulated moments to estimate a small agent-based asset pricing model. Journal of Empirical Finance, 16(5), 804–815.CrossRef Franke, R. (2009). Applying the method of simulated moments to estimate a small agent-based asset pricing model. Journal of Empirical Finance, 16(5), 804–815.CrossRef
Zurück zum Zitat Franke, R., & Westerhoff, F. (2012). Structural stochastic volatility in asset pricing dynamics: Estimation and model contest. Journal of Economic Dynamics and Control, 36(8), 1193–1211.MathSciNetMATHCrossRef Franke, R., & Westerhoff, F. (2012). Structural stochastic volatility in asset pricing dynamics: Estimation and model contest. Journal of Economic Dynamics and Control, 36(8), 1193–1211.MathSciNetMATHCrossRef
Zurück zum Zitat Gaffeo, E., Delli Gatti, D., Desiderio, S., & Gallegati, M. (2008). Adaptive microfoundations for emergent macroeconomics. Eastern Economic Journal, 34(4), 441–463.CrossRef Gaffeo, E., Delli Gatti, D., Desiderio, S., & Gallegati, M. (2008). Adaptive microfoundations for emergent macroeconomics. Eastern Economic Journal, 34(4), 441–463.CrossRef
Zurück zum Zitat Goldbaum, D., & Mizrach, B. (2008). Estimating the intensity of choice in a dynamic mutual fund allocation decision. Journal of Economic Dynamics and Control, 32(12), 3866–3876.MathSciNetMATHCrossRef Goldbaum, D., & Mizrach, B. (2008). Estimating the intensity of choice in a dynamic mutual fund allocation decision. Journal of Economic Dynamics and Control, 32(12), 3866–3876.MathSciNetMATHCrossRef
Zurück zum Zitat Gourieroux, C., Monfort, A., & Renault, E. (1993). Indirect Inference. Journal of Applied Econometrics, 8(S):85–118. Gourieroux, C., Monfort, A., & Renault, E. (1993). Indirect Inference. Journal of Applied Econometrics, 8(S):85–118.
Zurück zum Zitat Grazzini, J., & Richiardi, M. (2015). Estimation of ergodic agent-based models by simulated minimum distance. Journal of Economic Dynamics and Control, 51(C):148–165. Grazzini, J., & Richiardi, M. (2015). Estimation of ergodic agent-based models by simulated minimum distance. Journal of Economic Dynamics and Control, 51(C):148–165.
Zurück zum Zitat Grazzini, J., Richiardi, M. G., & Tsionas, M. (2017). Bayesian estimation of agent-based models. Journal of Economic Dynamics and Control, 77(C), 26–47. Grazzini, J., Richiardi, M. G., & Tsionas, M. (2017). Bayesian estimation of agent-based models. Journal of Economic Dynamics and Control, 77(C), 26–47.
Zurück zum Zitat Grimm, V., Berger, U., Bastiansen, F., Eliassen, S., Ginot, V., Giske, J., et al. (2006). A standard protocol for describing individual-based and agent-based models. Ecological modelling, 198(1–2), 115–126.CrossRef Grimm, V., Berger, U., Bastiansen, F., Eliassen, S., Ginot, V., Giske, J., et al. (2006). A standard protocol for describing individual-based and agent-based models. Ecological modelling, 198(1–2), 115–126.CrossRef
Zurück zum Zitat Grimm, V., Revilla, E., Berger, U., Jeltsch, F., Mooij, W. M., Railsback, S. F., et al. (2005). Pattern-oriented modeling of agent-based complex systems: Lessons from ecology. Science, 310(5750), 987–991.CrossRef Grimm, V., Revilla, E., Berger, U., Jeltsch, F., Mooij, W. M., Railsback, S. F., et al. (2005). Pattern-oriented modeling of agent-based complex systems: Lessons from ecology. Science, 310(5750), 987–991.CrossRef
Zurück zum Zitat Guerini, M. (2013). Is the friedman rule stabilizing? Some unpleasant results in a heterogeneous expectations framework. Technical report, Department of Economics and Finance Working Papers, Unicatt, Milan. Guerini, M. (2013). Is the friedman rule stabilizing? Some unpleasant results in a heterogeneous expectations framework. Technical report, Department of Economics and Finance Working Papers, Unicatt, Milan.
Zurück zum Zitat Guerini, M., & Moneta, A. (2017). A method for agent-based models validation. Journal of Economic Dynamics and Control. Guerini, M., & Moneta, A. (2017). A method for agent-based models validation. Journal of Economic Dynamics and Control.
Zurück zum Zitat Guerini, M., Napoletano, M., & Roventini, A. (2017). No man is an island: The impact of heterogeneity and local interactions on macroeconomic dynamics. Economic Modelling. Guerini, M., Napoletano, M., & Roventini, A. (2017). No man is an island: The impact of heterogeneity and local interactions on macroeconomic dynamics. Economic Modelling.
Zurück zum Zitat Hansen, L. P., & Heckman, J. J. (1996). The empirical foundations of calibration. The Journal of Economic Perspectives, 10(1), 87–104.CrossRef Hansen, L. P., & Heckman, J. J. (1996). The empirical foundations of calibration. The Journal of Economic Perspectives, 10(1), 87–104.CrossRef
Zurück zum Zitat Hassan, S., Pavon, J., & Gilbert, N. (2008). Injecting data into simulation: Can agent-based modelling learn from microsimulation. In World Congress of Social Simulation. Hassan, S., Pavon, J., & Gilbert, N. (2008). Injecting data into simulation: Can agent-based modelling learn from microsimulation. In World Congress of Social Simulation.
Zurück zum Zitat Heine, B.-O., Meyer, M., & Strangfeld, O. (2005). Stylised facts and the contribution of simulation to the economic analysis of budgeting. Journal of Artificial Societies and Social Simulation, 8(4). Heine, B.-O., Meyer, M., & Strangfeld, O. (2005). Stylised facts and the contribution of simulation to the economic analysis of budgeting. Journal of Artificial Societies and Social Simulation, 8(4).
Zurück zum Zitat Hommes, C. (2011). The heterogeneous expectations hypothesis: Some evidence from the lab. Journal of Economic Dynamics and Control, 35(1), 1–24.MathSciNetMATHCrossRef Hommes, C. (2011). The heterogeneous expectations hypothesis: Some evidence from the lab. Journal of Economic Dynamics and Control, 35(1), 1–24.MathSciNetMATHCrossRef
Zurück zum Zitat Hommes, C. (2013). Behavioral rationality and heterogeneous expectations in complex economic systems. Number 9781107564978 in Cambridge Books. Cambridge University Press. Hommes, C. (2013). Behavioral rationality and heterogeneous expectations in complex economic systems. Number 9781107564978 in Cambridge Books. Cambridge University Press.
Zurück zum Zitat Hyvarinen, A., Zhang, K., Shimizu, S., & Hoyer, P. O. (2010). Estimation of a structural vector autoregression model using non-gaussianity. Journal of Machine Learning Research, 11, 1709–1731.MathSciNetMATH Hyvarinen, A., Zhang, K., Shimizu, S., & Hoyer, P. O. (2010). Estimation of a structural vector autoregression model using non-gaussianity. Journal of Machine Learning Research, 11, 1709–1731.MathSciNetMATH
Zurück zum Zitat Johansen, S., & Juselius, K. (1990). Maximum likelihood estimation and inference on cointegration. With application to the demand for money. Oxford Bullettin of Economics and Statistics, 52, 169–210.CrossRef Johansen, S., & Juselius, K. (1990). Maximum likelihood estimation and inference on cointegration. With application to the demand for money. Oxford Bullettin of Economics and Statistics, 52, 169–210.CrossRef
Zurück zum Zitat Kirman, A. (1991). Epidemics of opinion and speculative bubbles in financial markets. In M. Taylor (Ed.), Money and financial markets (pp. 354–368). Blackwell. Kirman, A. (1991). Epidemics of opinion and speculative bubbles in financial markets. In M. Taylor (Ed.), Money and financial markets (pp. 354–368). Blackwell.
Zurück zum Zitat Krige, D. G. (1951). A statistical approach to some basic mine valuation problems on the witwatersrand. Journal of the Southern African Institute of Mining and Metallurgy, 52(6), 119–139. Krige, D. G. (1951). A statistical approach to some basic mine valuation problems on the witwatersrand. Journal of the Southern African Institute of Mining and Metallurgy, 52(6), 119–139.
Zurück zum Zitat Kukacka, J., & Barunik, J. (2017). Estimation of financial agent-based models with simulated maximum likelihood. Journal of Economic Dynamics and Control, 85(C):21–45. Kukacka, J., & Barunik, J. (2017). Estimation of financial agent-based models with simulated maximum likelihood. Journal of Economic Dynamics and Control, 85(C):21–45.
Zurück zum Zitat Lamperti, F. (2018a). Empirical validation of simulated models through the GSL-div: An illustrative application. Journal of Economic Interaction and Coordination, 13(1), 143–171.CrossRef Lamperti, F. (2018a). Empirical validation of simulated models through the GSL-div: An illustrative application. Journal of Economic Interaction and Coordination, 13(1), 143–171.CrossRef
Zurück zum Zitat Lamperti, F. (2018b). An information theoretic criterion for empirical validation of simulation models. Econometrics and Statistics, 5, 83–106.MathSciNetCrossRef Lamperti, F. (2018b). An information theoretic criterion for empirical validation of simulation models. Econometrics and Statistics, 5, 83–106.MathSciNetCrossRef
Zurück zum Zitat Lamperti, F., Dosi, G., Napoletano, M., Roventini, A., & Sapio, A. (2018a). Faraway, so close: Coupled climate and economic dynamics in an agent-based integrated assessment model. Ecological Economics, 150, 315–339.CrossRef Lamperti, F., Dosi, G., Napoletano, M., Roventini, A., & Sapio, A. (2018a). Faraway, so close: Coupled climate and economic dynamics in an agent-based integrated assessment model. Ecological Economics, 150, 315–339.CrossRef
Zurück zum Zitat Lamperti, F., Dosi, G., Napoletano, M., Roventini, A., Sapio, A., et al. (2018b). And then he wasn’t a she: Climate change and green transitions in an agent-based integrated assessment model. Technical report, Laboratory of Economics and Management (LEM), Sant’Anna School of Advanced Studies, Pisa, Italy. Lamperti, F., Dosi, G., Napoletano, M., Roventini, A., Sapio, A., et al. (2018b). And then he wasn’t a she: Climate change and green transitions in an agent-based integrated assessment model. Technical report, Laboratory of Economics and Management (LEM), Sant’Anna School of Advanced Studies, Pisa, Italy.
Zurück zum Zitat Lamperti, F., Roventini, A., & Sani, A. (2018c). Agent-based model calibration using machine learning surrogates. Journal of Economic Dynamics and Control, 90, 366–389.MathSciNetMATHCrossRef Lamperti, F., Roventini, A., & Sani, A. (2018c). Agent-based model calibration using machine learning surrogates. Journal of Economic Dynamics and Control, 90, 366–389.MathSciNetMATHCrossRef
Zurück zum Zitat Lane, D. A. (1993). Artificial worlds and economics, part II. Journal of Evolutionary Economics, 3(3), 177–197.CrossRef Lane, D. A. (1993). Artificial worlds and economics, part II. Journal of Evolutionary Economics, 3(3), 177–197.CrossRef
Zurück zum Zitat Leal, S. J., Napoletano, M., Roventini, A., & Fagiolo, G. (2016). Rock around the clock: An agent-based model of low- and high-frequency trading. Journal of Evolutionary Economics, 26(1), 49–76.CrossRef Leal, S. J., Napoletano, M., Roventini, A., & Fagiolo, G. (2016). Rock around the clock: An agent-based model of low- and high-frequency trading. Journal of Evolutionary Economics, 26(1), 49–76.CrossRef
Zurück zum Zitat LeBaron, B., & Tesfatsion, L. (2008). Modeling macroeconomies as open-ended dynamic systems of interacting agents. American Economic Review, 98(2), 246–250.CrossRef LeBaron, B., & Tesfatsion, L. (2008). Modeling macroeconomies as open-ended dynamic systems of interacting agents. American Economic Review, 98(2), 246–250.CrossRef
Zurück zum Zitat Lee, J.-S., Filatova, T., Ligmann-Zielinska, A., Hassani-Mahmooei, B., Stonedahl, F., Lorscheid, I., et al. (2015). The complexities of agent-based modeling output analysis. Journal of Artificial Societies and Social Simulation, 18(4), 4.CrossRef Lee, J.-S., Filatova, T., Ligmann-Zielinska, A., Hassani-Mahmooei, B., Stonedahl, F., Lorscheid, I., et al. (2015). The complexities of agent-based modeling output analysis. Journal of Artificial Societies and Social Simulation, 18(4), 4.CrossRef
Zurück zum Zitat Leombruni, R., Richiardi, M., Saam, N. J., & Sonnessa, M. (2006). A common protocol for agent-based social simulation. Journal of Artificial Societies and Social Simulation, 9(1), 15. Leombruni, R., Richiardi, M., Saam, N. J., & Sonnessa, M. (2006). A common protocol for agent-based social simulation. Journal of Artificial Societies and Social Simulation, 9(1), 15.
Zurück zum Zitat Lorscheid, I., Heine, B.-O., & Meyer, M. (2012). Opening the fiblack boxfiof simulations: Increased transparency and effective communication through the systematic design of experiments. Computational and Mathematical Organization Theory, 18(1), 22–62.CrossRef Lorscheid, I., Heine, B.-O., & Meyer, M. (2012). Opening the fiblack boxfiof simulations: Increased transparency and effective communication through the systematic design of experiments. Computational and Mathematical Organization Theory, 18(1), 22–62.CrossRef
Zurück zum Zitat Malerba, F., Nelson, R., Orsenigo, L., & Winter, S. (1999). ’History-friendly’ models of industry evolution: The computer industry. Industrial and Corporate Change, 8(1), 3.CrossRef Malerba, F., Nelson, R., Orsenigo, L., & Winter, S. (1999). ’History-friendly’ models of industry evolution: The computer industry. Industrial and Corporate Change, 8(1), 3.CrossRef
Zurück zum Zitat Manson, S. (Ed.). (2002). Validation and verification of multi-agent systems, in complexity and ecosystem management. Cheltenham: Edward Elgar. Manson, S. (Ed.). (2002). Validation and verification of multi-agent systems, in complexity and ecosystem management. Cheltenham: Edward Elgar.
Zurück zum Zitat Marks, R. (2007). Validating simulation models: A general framework and four applied examples. Computational Economics, 30(3), 265–290.MATHCrossRef Marks, R. (2007). Validating simulation models: A general framework and four applied examples. Computational Economics, 30(3), 265–290.MATHCrossRef
Zurück zum Zitat Marks, R. E. (2013). Validation and model selection: Three similarity measures compared. Complexity Economics, 2(1), 41–61.CrossRef Marks, R. E. (2013). Validation and model selection: Three similarity measures compared. Complexity Economics, 2(1), 41–61.CrossRef
Zurück zum Zitat Marks, R. E. (2018). Pattern-based metrics for validating simulation model output. In C. Beisbart & N. J. Saam (Eds.), Computer simulation validation. Fundamental concepts, methodological frameworks, philosophical perspectives. Springer. Marks, R. E. (2018). Pattern-based metrics for validating simulation model output. In C. Beisbart & N. J. Saam (Eds.), Computer simulation validation. Fundamental concepts, methodological frameworks, philosophical perspectives. Springer.
Zurück zum Zitat McKay, M. D., Beckman, R. J., & Conover, W. J. (1979). Comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 21(2), 239–245.MathSciNetMATH McKay, M. D., Beckman, R. J., & Conover, W. J. (1979). Comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 21(2), 239–245.MathSciNetMATH
Zurück zum Zitat Morokoff, W. J., & Caflisch, R. E. (1994). Quasi-random sequences and their discrepancies. SIAM Journal on Scientific Computing, 15(6), 1251–1279.MathSciNetMATHCrossRef Morokoff, W. J., & Caflisch, R. E. (1994). Quasi-random sequences and their discrepancies. SIAM Journal on Scientific Computing, 15(6), 1251–1279.MathSciNetMATHCrossRef
Zurück zum Zitat Paccagnini, A. (2010). DSGE model validation in a bayesian framework: An assessment. MPRA Paper 24509, University Library of Munich, Germany. Paccagnini, A. (2010). DSGE model validation in a bayesian framework: An assessment. MPRA Paper 24509, University Library of Munich, Germany.
Zurück zum Zitat Pellizzari, P., & Dal Forno, A. (2007). A comparison of different trading protocols in an agent-based market. Journal of Economic Interaction and Coordination, 2(1), 27–43.CrossRef Pellizzari, P., & Dal Forno, A. (2007). A comparison of different trading protocols in an agent-based market. Journal of Economic Interaction and Coordination, 2(1), 27–43.CrossRef
Zurück zum Zitat Platt, D., & Gebbie, T. (2016). Can agent-based models probe market microstructure? Papers 1611.08510, arXiv.org. Platt, D., & Gebbie, T. (2016). Can agent-based models probe market microstructure? Papers 1611.08510, arXiv.​org.
Zurück zum Zitat Popoyan, L., Napoletano, M., & Roventini, A. (2017). Taming macroeconomic instability: Monetary and macro-prudential policy interactions in an agent-based model. Journal of Economic Behavior & Organization, 134(C):117–140. Popoyan, L., Napoletano, M., & Roventini, A. (2017). Taming macroeconomic instability: Monetary and macro-prudential policy interactions in an agent-based model. Journal of Economic Behavior & Organization, 134(C):117–140.
Zurück zum Zitat Recchioni, M. C., Tedeschi, G., & Gallegati, M. (2015). A calibration procedure for analyzing stock price dynamics in an agent-based framework. Journal of Economic Dynamics and Control, 60, 1–25.MathSciNetMATHCrossRef Recchioni, M. C., Tedeschi, G., & Gallegati, M. (2015). A calibration procedure for analyzing stock price dynamics in an agent-based framework. Journal of Economic Dynamics and Control, 60, 1–25.MathSciNetMATHCrossRef
Zurück zum Zitat Rosen, R. (1985). Anticipatory systems: Philosophical, mathematical, and methodological foundations. Oxford: Pergamon.MATH Rosen, R. (1985). Anticipatory systems: Philosophical, mathematical, and methodological foundations. Oxford: Pergamon.MATH
Zurück zum Zitat Salle, I., & Yıldızoğlu, M. (2014). Efficient sampling and meta-modeling for computational economic models. Computational Economics, 44(4), 507–536.CrossRef Salle, I., & Yıldızoğlu, M. (2014). Efficient sampling and meta-modeling for computational economic models. Computational Economics, 44(4), 507–536.CrossRef
Zurück zum Zitat Schelling, T. C. (1969). Models of segregation. The American Economic Review, 59(2), 488–493. Schelling, T. C. (1969). Models of segregation. The American Economic Review, 59(2), 488–493.
Zurück zum Zitat Schelling, T. C. (1971). Dynamic models of segregation. The Journal of Mathematical Sociology, 1(2), 143–186.MATHCrossRef Schelling, T. C. (1971). Dynamic models of segregation. The Journal of Mathematical Sociology, 1(2), 143–186.MATHCrossRef
Zurück zum Zitat Secchi, D., & Seri, R. (2017). Controlling for false negatives in agent-based models: A review of power analysis in organizational research. Computational and Mathematical Organization Theory, 23(1), 94–121.CrossRef Secchi, D., & Seri, R. (2017). Controlling for false negatives in agent-based models: A review of power analysis in organizational research. Computational and Mathematical Organization Theory, 23(1), 94–121.CrossRef
Zurück zum Zitat Shimizu, S., Hoyer, P. O., Hyvarinen, A., & Kerminen, A. J. (2006). A linear non-gaussian acyclic model for causal discovery. Journal of Machine Learning Research, 7, 2003–2030.MathSciNetMATH Shimizu, S., Hoyer, P. O., Hyvarinen, A., & Kerminen, A. J. (2006). A linear non-gaussian acyclic model for causal discovery. Journal of Machine Learning Research, 7, 2003–2030.MathSciNetMATH
Zurück zum Zitat Simon, H. A. (1991). Bounded rationality and organizational learning. Organization Science, 2(1), 125–134.CrossRef Simon, H. A. (1991). Bounded rationality and organizational learning. Organization Science, 2(1), 125–134.CrossRef
Zurück zum Zitat Spirtes, P., Glymur, C., & Scheines, R. (2000). Causation, prediction, and search. MIT Press. Spirtes, P., Glymur, C., & Scheines, R. (2000). Causation, prediction, and search. MIT Press.
Zurück zum Zitat Tesfatsion, L. (2006). Chapter 16 agent-based computational economics: A constructive approach to economic theory. In Handbook of computational economics, 2 (pp. 831–880). Tesfatsion, L. (2006). Chapter 16 agent-based computational economics: A constructive approach to economic theory. In Handbook of computational economics, 2 (pp. 831–880).
Zurück zum Zitat Thiele, J. C., Kurth, W., & Grimm, V. (2014). Facilitating parameter estimation and sensitivity analysis of agent-based models: A cookbook using NetLogo and R. Journal of Artificial Societies and Social Simulation, 17(3), 11.CrossRef Thiele, J. C., Kurth, W., & Grimm, V. (2014). Facilitating parameter estimation and sensitivity analysis of agent-based models: A cookbook using NetLogo and R. Journal of Artificial Societies and Social Simulation, 17(3), 11.CrossRef
Zurück zum Zitat Turrell, A. (2016). Agent-based models: Understanding the economy from the bottom up. Quarterly bulletin Q4, Bank of England. Turrell, A. (2016). Agent-based models: Understanding the economy from the bottom up. Quarterly bulletin Q4, Bank of England.
Zurück zum Zitat Van Beers, W. C. & Kleijnen, J. P. (2004). Kriging interpolation in simulation: A survey. In Simulation Conference, 2004. Proceedings of the 2004 Winter (vol. 1). IEEE. Van Beers, W. C. & Kleijnen, J. P. (2004). Kriging interpolation in simulation: A survey. In Simulation Conference, 2004. Proceedings of the 2004 Winter (vol. 1). IEEE.
Zurück zum Zitat Werker, C., & Brenner, T. (2004). Empirical calibration of simulation models 0410. Papers on economics and evolution, Max-Planck-Institut für Ökonomik. Werker, C., & Brenner, T. (2004). Empirical calibration of simulation models 0410. Papers on economics and evolution, Max-Planck-Institut für Ökonomik.
Zurück zum Zitat Westerhoff, F. H., & Dieci, R. (2006). The effectiveness of keynes-tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach. Journal of Economic Dynamics and Control, 30(2), 293–322.MathSciNetMATHCrossRef Westerhoff, F. H., & Dieci, R. (2006). The effectiveness of keynes-tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach. Journal of Economic Dynamics and Control, 30(2), 293–322.MathSciNetMATHCrossRef
Zurück zum Zitat Windrum, P., Fagiolo, G., & Moneta, A. (2007). Empirical validation of agent-based models: Alternatives and prospects. Journal of Artificial Societies and Social Simulation, 10(2), 8. Windrum, P., Fagiolo, G., & Moneta, A. (2007). Empirical validation of agent-based models: Alternatives and prospects. Journal of Artificial Societies and Social Simulation, 10(2), 8.
Zurück zum Zitat Winker, P., & Gilli, M. (2001). Validation of agent-based models of financial markets. IFAC Proceedings Volumes, 34(20), 401–406.CrossRef Winker, P., & Gilli, M. (2001). Validation of agent-based models of financial markets. IFAC Proceedings Volumes, 34(20), 401–406.CrossRef
Zurück zum Zitat Winker, P., & Gilli, M. (2004). Applications of optimization heuristics to estimation and modelling problems. Computational Statistics & Data Analysis, 47(2), 211–223.MathSciNetMATHCrossRef Winker, P., & Gilli, M. (2004). Applications of optimization heuristics to estimation and modelling problems. Computational Statistics & Data Analysis, 47(2), 211–223.MathSciNetMATHCrossRef
Metadaten
Titel
Validation of Agent-Based Models in Economics and Finance
verfasst von
Giorgio Fagiolo
Mattia Guerini
Francesco Lamperti
Alessio Moneta
Andrea Roventini
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-70766-2_31