Game Theoretical Applications to Economics and Operations Research de T. Parthasarathy

Game Theoretical Applications to Economics and Operations Research: Theory and Decision Library C, cartea 18

T. Parthasarathy

B. Dutta

J.A.M. Potters

T.E.S. Raghaven

D. Ray

A. Sen

Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR 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, cooperative and noncooperative 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, cooperative and noncooperative 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.

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Cuprins

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.