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Dynamic Games and Applications OnlineFirst articles


COVID-19 and Stigma: Evolution of Self-restraint Behavior

Social stigma can effectively prevent people from going out and possibly spreading COVID-19. Using the framework of replicator dynamics, we analyze the interaction between self-restraint behavior, infection with viruses such as COVID-19, and …

Kenichi Kurita, Shunsuke Managi


Zero-Sum Stochastic Games with Random Rules of Priority, Discrete Linear-Quadratic Model

This paper is concerned with zero-sum stochastic games with random rules of priority; this means that at each turn one of the players is randomly selected and will be able to see the decision of the other player, before his own action is chosen.

Daniel Hernández-Hernández, Joshué H. Ricalde-Guerrero


Mean Field Models to Regulate Carbon Emissions in Electricity Production

The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean field game models to analyze and inform the decisions of electricity …

René Carmona, Gökçe Dayanıklı, Mathieu Laurière


Min-Max Robust Control in LQ-Differential Games

In this paper, we consider the design of equilibrium linear feedback control policies in an uncertain process (e.g., an economy) affected by either one or more players. We consider a process which nominal (commonly believed) development in time is …

Jacob Engwerda


Jump Equilibria in Public-Good Differential Games with a Single State Variable

A simple sufficient condition is proved for symmetric Markov subgame perfect Nash equilibria in public-good differential games with a single state variable. The condition admits equilibria in feedback strategies that have discontinuous dependence …

Johannes M. Schumacher, Puduru Viswanadha Reddy, Jacob C. Engwerda


Science, Technology and Institutional Change in Knowledge Production: An Evolutionary Game Theoretic Framework

We model the interaction between science and technology using an evolutionary game theoretic framework. Conflictual rather than synergistic relation between science and technology is assumed, in which they rely on openness and secrecy as …

Ozgur Aydogmus, Erkan Gürpinar


Noise-Induced Quasi-Heteroclinic Cycle in a Rock–Paper–Scissors Game with Random Payoffs

The rock–paper–scissors game is one of the main theoretical models in evolutionary game theory and has been used successfully to explain some observed phenomena in biology, economics and social science. In order to explore the influence of …

Tian-Jiao Feng, Jie Mei, Rui-Wu Wang, Sabin Lessard, Yi Tao, Xiu-Deng Zheng


Provably Efficient Reinforcement Learning in Decentralized General-Sum Markov Games

This paper addresses the problem of learning an equilibrium efficiently in general-sum Markov games through decentralized multi-agent reinforcement learning. Given the fundamental difficulty of calculating a Nash equilibrium (NE), we instead aim …

Weichao Mao, Tamer Başar


Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks

We study a multi-type SIR epidemic process within a heterogeneous population that interacts through a network. We base social contact on a random graph with given vertex degrees, and we give limit theorems on the fraction of infected individuals.

Hamed Amini, Andreea Minca


Approximate Capture in Gromov–Hausdorff Close Spaces

This paper addresses the robustness of the capture radii with respect to perturbation in the phase space on the example of the so-called Lion and Man game. This is a two-person pursuit-evasion game with equal players’ top speeds. The existence of …

Olga Yufereva

01-01-2022 Open Access

Finite State Graphon Games with Applications to Epidemics

We consider a game for a continuum of non-identical players evolving on a finite state space. Their heterogeneous interactions are represented with a graphon, which can be viewed as the limit of a dense random graph. A player’s transition rates …

Alexander Aurell, René Carmona, Gökçe Dayanıklı, Mathieu Laurière

07-12-2021 Open Access

Markov Perfect Equilibria in Multi-Mode Differential Games with Endogenous Timing of Mode Transitions

We study Markov perfect equilibria (MPE) of two-player multi-mode differential games with controlled state dynamics, where one player controls the transition between modes. Different types of MPE are characterized distinguishing between delay …

Herbert Dawid, Serhat Gezer


Mobility Choices and Strategic Interactions in a Two-Group Macroeconomic–Epidemiological Model

We analyze the implications of strategic interactions between two heterogeneous groups (i.e., young and old, men and women) in a macroeconomic–epidemiological framework. The interactions between groups determine the overall prevalence of a …

Davide La Torre, Danilo Liuzzi, Rosario Maggistro, Simone Marsiglio


Necessity of Social Distancing in Pandemic Control: A Dynamic Game Theory Approach

We model a society with two types of citizens: healthy and vulnerable individuals. While both types can be exposed to the virus and contribute to its spread, the vulnerable people tend to be more cautious as being exposed to the virus can be fatal …

Ilyass Dahmouni, Elnaz Kanani Kuchesfehani


Opinion Dynamics Control in a Social Network with a Communication Structure

This paper considers a game-theoretic model of external control influence on opinion dynamics and reached consensus in a social network. The network participants are linked through an arbitrary communication graph. The goal of control is to keep …

Hui Jiang, Vladimir V. Mazalov, Hongwei Gao, Chen Wang


An Evolutionary Approach to Pollution Control in Competitive Markets

We consider a large population of firms in a market environment. The firms are divided into a finite set of types, with each type being characterized by a distinct private cost function. Moreover, the firms generate an external cost like pollution …

Ratul Lahkar, Vinay Ramani


A New Evolutionary Game Analysis for Industrial Pollution Management Considering the Central Government’s Punishment

This study conducts a new evolutionary game analysis for industrial pollution management under dynamic punishment mechanism (DPM), in which the central government’s punishment to the local government is taken into consideration. Then, we compared …

Fulei Shi, Chuansheng Wang, Cuiyou Yao


Newton’s Method, Bellman Recursion and Differential Dynamic Programming for Unconstrained Nonlinear Dynamic Games

Dynamic games arise when multiple agents with differing objectives control a dynamic system. They model a wide variety of applications in economics, defense, energy systems and etc. However, compared to single-agent control problems, the …

Bolei Di, Andrew Lamperski


Asymmetric Information and Differentiated Durable Goods Monopoly: Intra-Period Versus Intertemporal Discrimination

A durable good monopolist faces a continuum of heterogeneous customers who make purchase decisions by comparing present and expected price-quality offers. The monopolist designs a sequence of price-quality menus to segment the market. We consider …

Didier Laussel, Ngo Van Long, Joana Resende


Maximum Principle for General Partial Information Nonzero Sum Stochastic Differential Games and Applications

We study a general kind of partial information nonzero sum two-player stochastic differential games, where the state variable is governed by a stochastic differential equation and the control domain of each player can be non-convex. Moreover, the …

Tianyang Nie, Falei Wang, Zhiyong Yu