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Mathematics - Applications | ICM Millennium Lectures on Games

ICM Millennium Lectures on Games

Petrosjan, Leon A., Yeung, David W.K. (Eds.)

2003, IX, 416 p.

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  • About this book

Since the first Congress in Zürich in 1897, the ICM has been an eagerly­ awaited event every four years. Many of these occasions are celebrated for historie developments and seminal contributions to mathematics. 2002 marks the year of the 24th ICM, the first of the new millennium. Also historie is the first ICM Satellite Conference devoted to game theory and applications. It is one of those rare occasions, in which masters of the field are able to meet under congenial surroundings to talk and share their gathered wisdom. As is usually the case in ICM meetings, participants of the ICM Satellite Conference on Game Theory and Applications (Qingdao, August 2(02) hailed from the four corners of the world. In addition to presentations of high qual­ ity research, the program also included twelve invited plenary sessions with distinguished speakers. This volume, which gathers together selected papers read at the conference, is divided into four sections: (I) Foundations, Concepts, and Structure. (II) Equilibrium Properties. (III) Applications to the Natural and Social Sciences. (IV) Computational Aspects of Games.

Content Level » Research

Keywords » Bargaining - Cooperative games - Differential games - Non-cooperative games - algorithms - game theory - modeling - simulation

Related subjects » Applications - Game Theory / Mathematical Methods - Mathematics - Operations Research & Decision Theory

Table of contents 

I Foundations, Concepts, and Structure.- Stable Schedule Matching under Revealed Preference.- Banzhaf Permission Values for Games with a Permission Structure.- Moral Hazard in Teams Revisited.- Endogenous Determination of Utility Functions: An Evolutionary Approach.- N-person Prisoner’s Dilemma with Mutual Choice by Agent-based Modeling.- Randomly-Furcating Stochastic Differential Games.- On Modulo 2 Game.- Bargaining in Dynamic Games.- II Equilibrium Properties.- Extensions of Hart and Mas-Colell’s Consistency to Efficient, Linear, and Symmetric Values for TU-Games.- On the Stability of Cooperation Structures.- Time-Consistent Imputation Distribution Procedure for Multistage Game.- Rationality of Final Decisions Leads to Sequential Equilibrium.- The Core in the Presence of Externalities.- Network Topology and the Efficiency of Equilibrium.- Essential Components of the Set of Weakly Pareto-Nash Equilibria for Multiobjective Generalized Games.- III Applications to the Natural and Social Sciences.- Discretization of Information Collecting Situations and Continuity of Compensation Rules.- Some Variation Calculus Problems in Dynamic Games on 2D Surfaces.- On The Chinese Postman Game.- Farsighted Stability in Duopoly Markets with Product Differentiation.- International Emissions Trading with Agent-Based Simulation and Web-Based Gaming.- Comparison of two Economic Models for a Business-to-Business Exchange.- IV Computational Aspects of Games.- Computability of Nash Equilibrium.- Numerical Algorithm for Solving Cross-Coupled Multiparameter Algebraic Riccati Equations of Multimodeling Systems Related to Nash Games.- Effects of Symmetry on Paradoxes in Non-Cooperative Distributed Computing.- Computation of Stackelberg Trajectories in a Class of Linear Differential Games on Plane.- A Game Theoretic Approach to Value Information in Data Mining.

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