Overview

This text deals with various aspects of game theory and their applications to economics and operational research related problems. It brings together the contributions of a wide spectrum of disciplines such as statistics, mathematics, mathematical economics and OR. The contributions include decision theory, stochastic games, co-operative and nonco-operative games. The papers in the volume are classified under five different sections. The first four sections are devoted to the theory of two-person games, linear complimentarity problems and game theory, co-operative and nonco-operative games. The fifth section contains diverse applications of these various theories. Taken together they exhibit a rich versatility of these theories and lively interaction between the mathematical theory of games and significant economic problems.

Full Product Details

Author:   T. Parthasarathy ,  B. Dutta ,  J.A.M. Potters ,  T.E.S. Raghaven
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   18
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.380kg
ISBN:  

9780792347125

ISBN 10:   0792347129
Pages:   302
Publication Date:   31 August 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Two-Person Games.- Computing Linear Minimax Estimators.- Incidence Matrix Games.- Completely Mixed Games and Real Jacobian Conjecture.- Probability of obtaining a pure strategy equilibrium in matrix games with random pay-offs.- II Cooperative Games.- Nonlinear Self Dual Solutions for TU Games.- The Egalitarian Nonpairwise-averaged Contribution.- Consistency Properties of the Nontransferable Cooperative Game solutions.- Reduced Game Property of Egalitarian Division Rules for Cooperative Games.- III Noncooperative Games.- An implementation of the Nucleolus of NTU Games.- Pure Strategy Nash Equilibirum Points in Large Non-Anonymous Games.- Equilibria in Repeated Games of Incomplete Information The Deterministic Symmetric Case.- On Stable Sets of Equilibria.- IV Linear Complementarity Problems and Game Theory.- A Chain condition for Qo-Matrices.- Linear Complementarity and the Irriducible Polystochastic Game with the Average Cost Criterion when one Player Controls Transition.- On the Lipschihtz Continuity of the Solution Map in Some Generalized Linear Complementarity Problems.- V Economic and or Applications.- Pari-Mutuel as a system of aggregation of information.- Genetic Algorithm of the Core of NTU Games.- Some recent algorithms for finding the nucleolus of structured cooperative games.- The characterisation of the Uniform Reallocation Rule Without Pareto Optimality.- Two Level Negotiations in Bargaining Over Water.- Price Rule and Volatility in Auctions with Resale Markets.- Monetary trade, Market specialisation and strategic behaviour.

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