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2024 | OriginalPaper | Buchkapitel

12. Transfer Pricing as Bargaining

verfasst von : Julio B. Clempner, Alexander Poznyak

Erschienen in: Optimization and Games for Controllable Markov Chains

Verlag: Springer Nature Switzerland

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Abstract

The Nash bargaining game theory technique is used in this chapter to examine and provide a solution to the transfer pricing problem. We analyze a company with sequential transfers among its several divisions, where central management decides on the transfer price to maximize operational profitability. Throughout the negotiation process, the price shifting between divisions is a tool for bargaining. First, we take into account a point of contention (status quo) between the firm’s divisions, which serves as a deterrent. We offer a methodology and framework for calculating the disagreement point that are based on the Nash equilibrium approach. Then, we introduce the bargaining solution, which is a single-valued function that chooses an outcome from each bargaining problem’s feasible pay-offs. This solution is the result of cooperation between the company divisions involved in the transfer pricing problem. The agreement achieved by the divisions in the game is the most desirable option within the range of plausible outcomes that results in a distribution of the transfer price between divisions that maximizes profit. We provide an optimization approach for computing the negotiating solution. The method’s usefulness is demonstrated through a number of examples, including Markov models in both continuous and discrete time.

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Fußnoten
1
A utility pair \((\psi ^1,\psi ^2) \in \Phi ^e\) if and only if \((\psi ^1,\psi ^2) \in \Phi \) and there does not exist another utility pair \((\varphi ^1,\varphi ^2) \in \Phi \) such that \(\varphi ^1 \ge \psi ^1\), \(\varphi ^2 \ge \psi ^2\).
 
Literatur
1.
Zurück zum Zitat Abdel-Khalik, A., Lusk, E.: Transfer pricing - a synthesis. Account Rev. 49(1), 8–23 (1974) Abdel-Khalik, A., Lusk, E.: Transfer pricing - a synthesis. Account Rev. 49(1), 8–23 (1974)
2.
Zurück zum Zitat Alm, J.: Measuring, explaining, and controlling tax evasion: lessons from theory, experiments, and field studies. Int. Tax Public Finance 19(1), 54–77 (2012)CrossRef Alm, J.: Measuring, explaining, and controlling tax evasion: lessons from theory, experiments, and field studies. Int. Tax Public Finance 19(1), 54–77 (2012)CrossRef
3.
Zurück zum Zitat Amershi, A., Cheng, P.: Intrafirm resource allocation: the economics of transfer pricing and cost allocations in accounting. Contemp. Account Res. 7(1), 61–99 (1990)CrossRef Amershi, A., Cheng, P.: Intrafirm resource allocation: the economics of transfer pricing and cost allocations in accounting. Contemp. Account Res. 7(1), 61–99 (1990)CrossRef
4.
Zurück zum Zitat Arrow, K.J.: Contributions to scientific research in management, chapter. In: Optimization, Decentralization, and Internal Pricing in Business Firms, pp. 9–18. Western Data Processing Center, Graduate School of Business Administration, UCLA (1959) Arrow, K.J.: Contributions to scientific research in management, chapter. In: Optimization, Decentralization, and Internal Pricing in Business Firms, pp. 9–18. Western Data Processing Center, Graduate School of Business Administration, UCLA (1959)
5.
Zurück zum Zitat Baldenius, T., Reichelstein, S.: External and internal pricing in multidivisional firms. J. Account Res. 44(1), 1–28 (2006)CrossRef Baldenius, T., Reichelstein, S.: External and internal pricing in multidivisional firms. J. Account Res. 44(1), 1–28 (2006)CrossRef
6.
Zurück zum Zitat Baldenius, T., Reichelstein, S., Sahay, S.: Negotiated versus cost-based-transfer pricing. Rev. Account Stud. 4(2), 67–91 (1999)CrossRef Baldenius, T., Reichelstein, S., Sahay, S.: Negotiated versus cost-based-transfer pricing. Rev. Account Stud. 4(2), 67–91 (1999)CrossRef
7.
Zurück zum Zitat Baumol, W.J., Fabian, T.: Decomposition, pricing for decentralization and external economies. Manag. Sci. 11(1), 1–32 (1964)CrossRef Baumol, W.J., Fabian, T.: Decomposition, pricing for decentralization and external economies. Manag. Sci. 11(1), 1–32 (1964)CrossRef
8.
Zurück zum Zitat Beer, S., Loeprick, J.: Profit shifting: drivers of transfer (mis)pricing and the potential countermeasures. Int. Tax Public Finance 22(3), 426–451 (2015)CrossRef Beer, S., Loeprick, J.: Profit shifting: drivers of transfer (mis)pricing and the potential countermeasures. Int. Tax Public Finance 22(3), 426–451 (2015)CrossRef
9.
Zurück zum Zitat Besanko, D., Sibley, D.S.: Compensation and transfer pricing in a principal-agent model. Int. Econ. Rev. 32(1), 55–68 (1991)CrossRefMATH Besanko, D., Sibley, D.S.: Compensation and transfer pricing in a principal-agent model. Int. Econ. Rev. 32(1), 55–68 (1991)CrossRefMATH
10.
Zurück zum Zitat Blois, K.J.: Pricing of supplies by large customers. J. Bus. Finance Account 3, 367–379 (1978)CrossRef Blois, K.J.: Pricing of supplies by large customers. J. Bus. Finance Account 3, 367–379 (1978)CrossRef
11.
Zurück zum Zitat Burton, R.M., Damon, W.W., Loughrid, D.W.: The economics of decomposition: re-source allocation versus transfer pricing. Decis. Sci. 5(3), 297–310 (1974) Burton, R.M., Damon, W.W., Loughrid, D.W.: The economics of decomposition: re-source allocation versus transfer pricing. Decis. Sci. 5(3), 297–310 (1974)
12.
Zurück zum Zitat Chalos, P., Haka, S.: Transfer pricing under bilateral bargaining. Account. Rev. 65(3), 624–641 (1990) Chalos, P., Haka, S.: Transfer pricing under bilateral bargaining. Account. Rev. 65(3), 624–641 (1990)
13.
Zurück zum Zitat Chwolka, A., Martini, J.T., Simons, D.: The value of negotiating cost-based transfer prices. BuR 3(2), 113–131 (2010) Chwolka, A., Martini, J.T., Simons, D.: The value of negotiating cost-based transfer prices. BuR 3(2), 113–131 (2010)
14.
Zurück zum Zitat Clempner, J.B.: Necessary and sufficient karush-kuhn-tucker conditions for multiobjective markov chains optimality. Automatica 71, 135–142 (2016)MathSciNetCrossRefMATH Clempner, J.B.: Necessary and sufficient karush-kuhn-tucker conditions for multiobjective markov chains optimality. Automatica 71, 135–142 (2016)MathSciNetCrossRefMATH
15.
Zurück zum Zitat Clempner, J.B.: Strategic manipulation approach for solving negotiated transfer pricing problem. J. Optim. Theory Appl. 178(1), 304–316 (2018)MathSciNetCrossRefMATH Clempner, J.B.: Strategic manipulation approach for solving negotiated transfer pricing problem. J. Optim. Theory Appl. 178(1), 304–316 (2018)MathSciNetCrossRefMATH
17.
Zurück zum Zitat Clempner, J.B., Poznyak, A.S.: Convergence method, properties and computational complexity for lyapunov games. Int. J. Appl. Math. Comput. Sci. 21(2), 349–361 (2011)MathSciNetCrossRefMATH Clempner, J.B., Poznyak, A.S.: Convergence method, properties and computational complexity for lyapunov games. Int. J. Appl. Math. Comput. Sci. 21(2), 349–361 (2011)MathSciNetCrossRefMATH
18.
Zurück zum Zitat Clempner, J.B., Poznyak, A.S.: Convergence analysis for pure and stationary strategies in repeated potential games: nash, lyapunov and correlated equilibria. Expert Syst. Appl. 46, 474–484 (2016)CrossRef Clempner, J.B., Poznyak, A.S.: Convergence analysis for pure and stationary strategies in repeated potential games: nash, lyapunov and correlated equilibria. Expert Syst. Appl. 46, 474–484 (2016)CrossRef
19.
Zurück zum Zitat Clempner, J.B., Poznyak, A.S.: Multiobjective markov chains optimization problem with strong pareto frontier: principles of decision making. Expert Syst. Appl. 68, 123–135 (2017)CrossRef Clempner, J.B., Poznyak, A.S.: Multiobjective markov chains optimization problem with strong pareto frontier: principles of decision making. Expert Syst. Appl. 68, 123–135 (2017)CrossRef
20.
Zurück zum Zitat Clempner, J.B., Poznyak, A.S.: Negotiating the transfer pricing using the nash bargaining solution. Int. J. Appl. Math. Comput. Sci. 27(4), 853–864 (2017)MathSciNetCrossRefMATH Clempner, J.B., Poznyak, A.S.: Negotiating the transfer pricing using the nash bargaining solution. Int. J. Appl. Math. Comput. Sci. 27(4), 853–864 (2017)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Clempner, J.B., Poznyak, A.S.: Computing the transfer pricing for a multidivisional firm based on cooperative games. Econ. Comput. Econ. Cybern. Stud. Res. 52(1), 107–126 (2018) Clempner, J.B., Poznyak, A.S.: Computing the transfer pricing for a multidivisional firm based on cooperative games. Econ. Comput. Econ. Cybern. Stud. Res. 52(1), 107–126 (2018)
22.
Zurück zum Zitat Dearden, J.: Cast Accounting and Financial Control Systems. Addison Wesley, Reno (1973) Dearden, J.: Cast Accounting and Financial Control Systems. Addison Wesley, Reno (1973)
23.
Zurück zum Zitat Devereux, M., Maffini, G.: The Impact of Taxation on the Location of Capital, Firms and Profit: A Survey of Empirical Evidence. Oxford University Centre for Business Taxation (2007) Devereux, M., Maffini, G.: The Impact of Taxation on the Location of Capital, Firms and Profit: A Survey of Empirical Evidence. Oxford University Centre for Business Taxation (2007)
24.
Zurück zum Zitat Edlin, A.S., Reichelstein, S.: Specific investment under negotiated transfer pricing: an efficiency result. Account Rev. 70(2), 275–291 (1995) Edlin, A.S., Reichelstein, S.: Specific investment under negotiated transfer pricing: an efficiency result. Account Rev. 70(2), 275–291 (1995)
25.
Zurück zum Zitat Enzer, H.: The static theory of transfer pricing. Nav. Res. Logist. Q. 22(2), 375–389 (1975)CrossRef Enzer, H.: The static theory of transfer pricing. Nav. Res. Logist. Q. 22(2), 375–389 (1975)CrossRef
26.
Zurück zum Zitat Forgó, F., Szép, J., Szidarovszky, F.: Introduction to the Theory of Games: Concepts, Methods, Applications. Kluwer Academic Publishers (1999) Forgó, F., Szép, J., Szidarovszky, F.: Introduction to the Theory of Games: Concepts, Methods, Applications. Kluwer Academic Publishers (1999)
27.
Zurück zum Zitat Fredrickson, J.W.: The strategic decision process and organizational structure. Acad. Manag. Rev. 11(2), 280–297 (1986)CrossRef Fredrickson, J.W.: The strategic decision process and organizational structure. Acad. Manag. Rev. 11(2), 280–297 (1986)CrossRef
28.
Zurück zum Zitat Ghosh, P., Roy, N., Das, S.K., Basu, K.: A game theory based pricing strategy for job allocation in mobile grids. In: Proceedings of the 18th International Parallel and Distributed Processing Symposium, pp. 82–92. Santa Fe, New Mexico, USA (2004) Ghosh, P., Roy, N., Das, S.K., Basu, K.: A game theory based pricing strategy for job allocation in mobile grids. In: Proceedings of the 18th International Parallel and Distributed Processing Symposium, pp. 82–92. Santa Fe, New Mexico, USA (2004)
29.
Zurück zum Zitat Grabski, S.V.: Readings in accounting for management control, chapter. In: Transfer Pricing in Complex Organizations: A Review and Integration of Recent Empirical and Analytical Research, pp. 453–495. Springer US (1982) Grabski, S.V.: Readings in accounting for management control, chapter. In: Transfer Pricing in Complex Organizations: A Review and Integration of Recent Empirical and Analytical Research, pp. 453–495. Springer US (1982)
30.
Zurück zum Zitat Haake, C.J., Martini, J.T.: Negotiating transfer prices. Group Decis. Negot. 22(4), 657–680 (2013)CrossRef Haake, C.J., Martini, J.T.: Negotiating transfer prices. Group Decis. Negot. 22(4), 657–680 (2013)CrossRef
31.
Zurück zum Zitat Henderson, B.D., Dearden, J.: New system for divisional control. Harv. Bus. Rev. 44(5), 144–146 (1966) Henderson, B.D., Dearden, J.: New system for divisional control. Harv. Bus. Rev. 44(5), 144–146 (1966)
32.
Zurück zum Zitat Hirshleifer, J.: On the economics of transfer pricing. J. Bus. 29, 172–184 (1956)CrossRef Hirshleifer, J.: On the economics of transfer pricing. J. Bus. 29, 172–184 (1956)CrossRef
33.
Zurück zum Zitat Hirshleifer, J.: Economics of the divisionalized firm. J. Bus. 30(2), 96–108 (1957)CrossRef Hirshleifer, J.: Economics of the divisionalized firm. J. Bus. 30(2), 96–108 (1957)CrossRef
34.
Zurück zum Zitat Jennergren, L.P.: The static theory of transfer pricing. Nav. Res. Logist. Q. 24(2), 373–376 (1977)CrossRefMATH Jennergren, L.P.: The static theory of transfer pricing. Nav. Res. Logist. Q. 24(2), 373–376 (1977)CrossRefMATH
35.
Zurück zum Zitat Johnson, N.: Divisional performance measurement and transfer pricing for intangible assets. Rev. Account Stud. 11(2/3), 339–365 (2006)CrossRef Johnson, N.: Divisional performance measurement and transfer pricing for intangible assets. Rev. Account Stud. 11(2/3), 339–365 (2006)CrossRef
36.
Zurück zum Zitat Kanodia, C.: Risk sharing and transfer price systems under uncertainty. J. Account Res. 17(1), 74–75 (1979)CrossRef Kanodia, C.: Risk sharing and transfer price systems under uncertainty. J. Account Res. 17(1), 74–75 (1979)CrossRef
37.
Zurück zum Zitat Karpowicz, M.P.: Nash equilibrium design and price-based coordination in hierarchical systems. Int. J. Appl. Math. Comput. Sci. 22(4), 951–969 (2012)MathSciNetCrossRefMATH Karpowicz, M.P.: Nash equilibrium design and price-based coordination in hierarchical systems. Int. J. Appl. Math. Comput. Sci. 22(4), 951–969 (2012)MathSciNetCrossRefMATH
38.
Zurück zum Zitat Leng, M., Parlarb, M.: Transfer pricing in a multidivisional firm: a cooperative game analysis. Oper. Res. Lett. 40(5), 364–369 (2012)MathSciNetCrossRefMATH Leng, M., Parlarb, M.: Transfer pricing in a multidivisional firm: a cooperative game analysis. Oper. Res. Lett. 40(5), 364–369 (2012)MathSciNetCrossRefMATH
39.
Zurück zum Zitat Leng, M., Parlarb, M.: Transfer pricing in a multidivisional firm: a cooperative game analysis. Oper. Res. Lett. 40(5), 364–369 (2012)MathSciNetCrossRefMATH Leng, M., Parlarb, M.: Transfer pricing in a multidivisional firm: a cooperative game analysis. Oper. Res. Lett. 40(5), 364–369 (2012)MathSciNetCrossRefMATH
40.
Zurück zum Zitat Markides, C.C., Williamson, P.J.: Corporate diversification and organizational structure: a resource-based view. Acad. Manag. J. 39(2), 340–367 (1996)CrossRef Markides, C.C., Williamson, P.J.: Corporate diversification and organizational structure: a resource-based view. Acad. Manag. J. 39(2), 340–367 (1996)CrossRef
41.
Zurück zum Zitat McAulay, L., Scrace, A., Tomkins, C.: Transferring priorities: a three-act play on transfer pricing. Crit. Perspect. Account 12(1), 87–113 (2001)CrossRef McAulay, L., Scrace, A., Tomkins, C.: Transferring priorities: a three-act play on transfer pricing. Crit. Perspect. Account 12(1), 87–113 (2001)CrossRef
42.
Zurück zum Zitat Muthoo, A.: Bargaining Theory with Applications. Cambridge University Press (2002) Muthoo, A.: Bargaining Theory with Applications. Cambridge University Press (2002)
44.
Zurück zum Zitat OECD: OECD Transfer Pricing Guidelines for Multinational Enterprises and Tax Administrations 2010. OECD Publishing (2010) OECD: OECD Transfer Pricing Guidelines for Multinational Enterprises and Tax Administrations 2010. OECD Publishing (2010)
45.
Zurück zum Zitat Poznyak, A.S.: Advanced Mathematical tools for Automatic Control Engineers. Deterministic technique, vol. 1. Elsevier, Amsterdam (2008) Poznyak, A.S.: Advanced Mathematical tools for Automatic Control Engineers. Deterministic technique, vol. 1. Elsevier, Amsterdam (2008)
46.
Zurück zum Zitat Ronen, J., Balachandran, K.R.: An approach to transfer pricing under uncertainty. J. Account Res. 26(2), 300–3114 (1988)CrossRef Ronen, J., Balachandran, K.R.: An approach to transfer pricing under uncertainty. J. Account Res. 26(2), 300–3114 (1988)CrossRef
47.
Zurück zum Zitat Rosenthal, E.C.: A game theoretic approach to transfer pricing in a vertically integrated supply chain. Int. J. Prod. Econ. 115(2), 542–552 (2008)CrossRef Rosenthal, E.C.: A game theoretic approach to transfer pricing in a vertically integrated supply chain. Int. J. Prod. Econ. 115(2), 542–552 (2008)CrossRef
49.
Zurück zum Zitat Tanaka, K.: The closest solution to the shadow minimum of a cooperative dynamic game. Comput. Math. Appl. 18(1–3), 181–188 (1989)MathSciNetCrossRefMATH Tanaka, K.: The closest solution to the shadow minimum of a cooperative dynamic game. Comput. Math. Appl. 18(1–3), 181–188 (1989)MathSciNetCrossRefMATH
50.
Zurück zum Zitat Tanaka, K., Yokoyama, K.: On \(\epsilon \)-equilibrium point in a noncooperative n-person game. J. Math. Anal. 160(2), 413–423 (1991)MathSciNetCrossRefMATH Tanaka, K., Yokoyama, K.: On \(\epsilon \)-equilibrium point in a noncooperative n-person game. J. Math. Anal. 160(2), 413–423 (1991)MathSciNetCrossRefMATH
51.
Zurück zum Zitat Thomas, A.: A behavioral analysis of joint cost allocation and transfer pricing. Technical report, Artbur Andersen & Co. Lecture Series 1977. Stipes Publishing Company (1980) Thomas, A.: A behavioral analysis of joint cost allocation and transfer pricing. Technical report, Artbur Andersen & Co. Lecture Series 1977. Stipes Publishing Company (1980)
52.
Zurück zum Zitat Trejo, K.K., Clempner, J.B.: New perspectives and applications of modern control theory: in honor of Alexander S. Poznyak, chapter. In: Continuous Time Bargaining Model in Controllable Markov Games: Nash versus Kalai-Smorodinsky. Springer International Publishing (2018) Trejo, K.K., Clempner, J.B.: New perspectives and applications of modern control theory: in honor of Alexander S. Poznyak, chapter. In: Continuous Time Bargaining Model in Controllable Markov Games: Nash versus Kalai-Smorodinsky. Springer International Publishing (2018)
53.
Zurück zum Zitat Trejo, K.K., Clempner, J.B., Poznyak, A.S.: Computing the stackelberg/nash equilibria using the extraproximal method: convergence analysis and implementation details for markov chains games. Int. J. Appl. Math. Comput. Sci. 25(2), 337–351 (2015)MathSciNetCrossRefMATH Trejo, K.K., Clempner, J.B., Poznyak, A.S.: Computing the stackelberg/nash equilibria using the extraproximal method: convergence analysis and implementation details for markov chains games. Int. J. Appl. Math. Comput. Sci. 25(2), 337–351 (2015)MathSciNetCrossRefMATH
54.
Zurück zum Zitat Trejo, K.K., Clempner, J.B., Poznyak, A.S.: Nash bargaining equilibria for controllable markov chains games. In: The 20th World Congress of The International Federation of Automatic Control (IFAC), pp. 12772–12777. Toulouse, France (2017) Trejo, K.K., Clempner, J.B., Poznyak, A.S.: Nash bargaining equilibria for controllable markov chains games. In: The 20th World Congress of The International Federation of Automatic Control (IFAC), pp. 12772–12777. Toulouse, France (2017)
55.
Zurück zum Zitat Vaysman, I.: A model of negotiated transfer pricing. J. Account Econ. 25(3), 349–384 (1998)CrossRef Vaysman, I.: A model of negotiated transfer pricing. J. Account Econ. 25(3), 349–384 (1998)CrossRef
56.
Zurück zum Zitat Wahab, O.A., Bentahar, J., Otrok, H., Mourad, A.: A stackelberg game for distributed formation of business-driven services communities. Expert Syst. Appl. 45(1), 359–372 (2016)CrossRef Wahab, O.A., Bentahar, J., Otrok, H., Mourad, A.: A stackelberg game for distributed formation of business-driven services communities. Expert Syst. Appl. 45(1), 359–372 (2016)CrossRef
57.
Zurück zum Zitat Watson, D.J.H., Baumler, J.V.: Transfer pricing: a behavioral context. Account Rev. 50(3), 466–574 (1975) Watson, D.J.H., Baumler, J.V.: Transfer pricing: a behavioral context. Account Rev. 50(3), 466–574 (1975)
58.
Zurück zum Zitat Wielenberg, S.: Negotiated transfer pricing, specific investment, and optimal capacity choice. Rev. Account Stud. 5(3), 197–216 (2000)CrossRef Wielenberg, S.: Negotiated transfer pricing, specific investment, and optimal capacity choice. Rev. Account Stud. 5(3), 197–216 (2000)CrossRef
Metadaten
Titel
Transfer Pricing as Bargaining
verfasst von
Julio B. Clempner
Alexander Poznyak
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-43575-1_12

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