Ebook: Game Theoretical Applications to Economics and Operations Research

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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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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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.
Content:
Front Matter....Pages i-xiv
Computing Linear Mini-Max Estimators....Pages 1-8
Incidence Matrix Games....Pages 9-16
Completely Mixed Games And Real Jacobian Conjecture....Pages 17-23
Probability of Obtaining a Pure Strategy Equilibrium in Matrix Games with Random Payoffs....Pages 25-31
Nonlinear Self Dual Solutions for TU-Games....Pages 33-50
The Egalitarian Nonpairwise-Averaged Contribution (ENPAC-) Value for TU-Games....Pages 51-66
Consistency Properties of the Nontransferable Cooperative Game Solutions....Pages 67-84
Reduced Game Properties of Egalitarian Division Rules for TU-Games....Pages 85-103
An Implementation of the Core of NTU-Games....Pages 105-111
Pure-Strategy Nash Equilibrium Points in Non-Anonymous Games....Pages 113-127
Equilibria in Repeated Games of Incomplete Information the Deterministic Symmetric Case....Pages 129-131
On Stable Sets of Equilibria....Pages 133-148
A Chain Condition for Qo-Matrices....Pages 149-152
Linear Complementarity and the Irreducible Polystochastic Game with the Average Cost Criterion When One Player Controls Transitions....Pages 153-170
On the Lipschitz Continuity of the Solution Map in Some Generalized Linear Complementarity Problems....Pages 171-181
Pari Mutuel As a System of Aggregation of Information....Pages 183-195
Genetic Algorithm for Finding the Nucleolus of Assignment Games....Pages 197-205
Some Recent Algorithms for Finding the Nucleolus of Structured Cooperative Games....Pages 207-238
The Characterisation of the Uniform Reallocation Rule Without Side Payments....Pages 239-255
Two Level Negotiations in Bargaining Over Water....Pages 257-273
Price Rule and Volatility in Auctions with Resale Markets....Pages 275-290
Large Monetary Trade, Market Specialization and Strategic Behaviour....Pages 291-300
Back Matter....Pages 301-302

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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.
Content:
Front Matter....Pages i-xiv
Computing Linear Mini-Max Estimators....Pages 1-8
Incidence Matrix Games....Pages 9-16
Completely Mixed Games And Real Jacobian Conjecture....Pages 17-23
Probability of Obtaining a Pure Strategy Equilibrium in Matrix Games with Random Payoffs....Pages 25-31
Nonlinear Self Dual Solutions for TU-Games....Pages 33-50
The Egalitarian Nonpairwise-Averaged Contribution (ENPAC-) Value for TU-Games....Pages 51-66
Consistency Properties of the Nontransferable Cooperative Game Solutions....Pages 67-84
Reduced Game Properties of Egalitarian Division Rules for TU-Games....Pages 85-103
An Implementation of the Core of NTU-Games....Pages 105-111
Pure-Strategy Nash Equilibrium Points in Non-Anonymous Games....Pages 113-127
Equilibria in Repeated Games of Incomplete Information the Deterministic Symmetric Case....Pages 129-131
On Stable Sets of Equilibria....Pages 133-148
A Chain Condition for Qo-Matrices....Pages 149-152
Linear Complementarity and the Irreducible Polystochastic Game with the Average Cost Criterion When One Player Controls Transitions....Pages 153-170
On the Lipschitz Continuity of the Solution Map in Some Generalized Linear Complementarity Problems....Pages 171-181
Pari Mutuel As a System of Aggregation of Information....Pages 183-195
Genetic Algorithm for Finding the Nucleolus of Assignment Games....Pages 197-205
Some Recent Algorithms for Finding the Nucleolus of Structured Cooperative Games....Pages 207-238
The Characterisation of the Uniform Reallocation Rule Without Side Payments....Pages 239-255
Two Level Negotiations in Bargaining Over Water....Pages 257-273
Price Rule and Volatility in Auctions with Resale Markets....Pages 275-290
Large Monetary Trade, Market Specialization and Strategic Behaviour....Pages 291-300
Back Matter....Pages 301-302
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