## Advances in Dynamic Games: Applications to Economics, Management Science, Engineering, and Environmental ManagementAlain Haurie, Shigeo Muto, Leon A. Petrosjan, T. E. S. Raghavan This book, an outgrowth of the 10th International Symposium on Dynamic Games, presents current developments of the theory of dynamic games and its applications. The text uses dynamic game models to approach and solve problems pertaining to pursuit-evasion, marketing, finance, climate and environmental economics, resource exploitation, as well as auditing and tax evasions. It includes chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions. |

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### Contents

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3 | |

23 | |

Optimal Feedback in a Dynamic Game of Generalized Shortest Path | 39 |

PursuitEvasion Games | 63 |

Delayed Information PursuitEvasion Games | 64 |

Game Problems for Systems with Fractional Derivatives of Arbitrary Order | 105 |

On Two Problems of Group Pursuit | 114 |

The Folk Theorems in the Framework of Evolution and Cooperation | 197 |

Subgame Perfect Equilibria via Tikhonov Regularization | 208 |

Extended Self Game and Conﬂict Resolution | 223 |

Applications to EnergyEnvironment Economics | 235 |

Simulation Software and Generalized Equilibrium Solutions | 236 |

The Effects of Incomplete Information in Stochastic CommonStock Harvesting Games | 253 |

A TwoLevel Differential Game of International Emissions Trading | 293 |

A Stochastic Multigeneration Game for Global Climate Change Impact Assessment | 309 |

Games of Coalitions | 136 |

Cooperative Stochastic Games | 137 |

The Uniqueness of a Reduced Game in a Characterization of the Core in Terms of Consistency | 147 |

The Formation of Adaptive Coalitions | 163 |

On Assignment Games | 179 |

New Concepts of Equilibrium | 194 |

Management Science Applications | 333 |

An Impulsive Differential Game Arising in Finance with Interesting Singularities | 334 |

Marketing Channel | 365 |

A Stochastic Game Model of Tax Evasion | 396 |

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action actors algorithm assignment games assume audit behavior coalition complete sweeping computation consider constraint converges convex cooperative core cost critical depensation deﬁned deﬁnition delay denote depends diﬀerent diﬀerential games discounted dominates duopoly dynamic game dynamic programming economic eﬀect emissions emissions trading equation evader exists feedback Figure ﬁle cabinet ﬁnd ﬁnite ﬁrms ﬁrst player ﬁxed Game Theory given graph growth function harvesting Hence imperfect monitoring inequality inﬁnite International Lemma linear matrix maximization minimax Nash equilibrium nucleolus obtained optimal control parameter payoff payoﬀ function play proﬁt Proof pursuer pursuit-evasion random reduced game structure repeated games respectively satisﬁes Section sequence Shapley Shapley value simulations solution speciﬁc stable set stage stochastic game strategy pairs subgame suﬃciently tax return taxpayer Theorem Tikhonov regularization tion trajectory value function variables vector zero-sum