Analyzing reciprocity dynamics in supply chains of public goods: a stochastic evolutionary game approach [PDF]
PeerJ Computer ScienceTo start with an infinitely repeated game of supply chains of public goods, a stout reciprocity mechanism is introduced into income games to build a matric dynamic equation.
Simo Sun, Man Wang, Yi Lei
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A Stochastic Control Approach for Constrained Stochastic Differential Games with Jumps and Regimes
Mathematics, 2023 We develop an approach for two-player constraint zero-sum and nonzero-sum stochastic differential games, which are modeled by Markov regime-switching jump-diffusion processes.
Emel Savku
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Backward Stackelberg Games with Delay and Related Forward–Backward Stochastic Differential Equations
Mathematics, 2023 In this paper, we study a kind of Stackelberg game where the controlled systems are described by backward stochastic differential delayed equations (BSDDEs).
Li Chen, Peipei Zhou, Hua Xiao
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Modeling and Computation of Transboundary Industrial Pollution with Emission Permits Trading by Stochastic Differential Game. [PDF]
PLoS ONE, 2015 Transboundary industrial pollution requires international actions to control its formation and effects. In this paper, we present a stochastic differential game to model the transboundary industrial pollution problems with emission permits trading.
Shuhua Chang, Xinyu Wang, Zheng Wang
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Tug of War games and PDEs on graphs with applications in image and high dimensional data processing
Scientific Reports, 2023 The aim of this note is to revisit the connections between some stochastic games, namely Tug-of-War games, and a class of nonlocal PDEs on graphs. We consider a general formulation of Tug-of-War games which is shown to be related to many classical PDEs ...
Hamza Ennaji +2 more
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Results in Control and Optimization, 2023 The main objective of this work is to give conditions for the existence of Nash equilibria for a nonzero-sum constrained stochastic differential game with additive structure and Markovian switchings.
Beatris Adriana Escobedo-Trujillo +4 more
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Axioms, 2023 This paper discusses the multi-player non-cooperative game of nonlinear stochastic time-varying systems described by Itô-type differential equations in a finite time interval.
Xiangyun Lin +4 more
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Stochastic Differential Games with Asymmetric Information [PDF]
Applied Mathematics and Optimization, 2008 We investigate a two-player zero-sum stochastic differential game in which the players have an asymmetric information on the random payoff. We prove that the game has a value and characterize this value in terms of dual solutions of some second order Hamilton-Jacobi equation.
Cardaliaguet, Pierre, Rainer, Catherine
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A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
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Mean-Field Type Games between Two Players Driven by Backward Stochastic Differential Equations
Games, 2018 In this paper, mean-field type games between two players with backward stochastic dynamics are defined and studied. They make up a class of non-zero-sum, non-cooperating, differential games where the players’ state dynamics solve backward ...
Alexander Aurell
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