Game Theoretical Applications to Economics and Operations ResearchT. 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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agents algorithm assume auction Axiom axiomatic bettor buyers characterization coalition column condition consider contribution cooperative games core corresponding CQ-set d₁ defined definition denote domestic negotiations Driessen e-core endowment monotonicity ENIC-value ENPAC-value ENPAC(N equal equation equivalence example excess function expected cost Game Theory given graph Hence incidence matrix individual rationality inequalities international negotiations investment iteration Jacobian Lemma lexmin linear complementarity problem Lipschitzian lower semicontinuous Mathematics matrix game maximal mixed strategy modified kernel modified nucleolus multiprice Nash equilibrium non-empty obtain paper Pareto optimal Parthasarathy payoff function payoff vector perturbation player set prekernel prenucleolus probability Proof Proposition pure strategy pure strategy equilibrium real number reallocation reduced game property result satisfies seller Shapley value solution concept solution map stochastic game strategy profile subset Sudhölter Suppose Theorem threat point TU-game uniprice unique utility val(A variable vertex zero