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This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.

Front Cover; Game Theory and Applications; Copyright Page; Table of Contents; Contributors; Preface; Chapter 1. Refinement of Nash Equilibrium: The Main Ideas; 1. INTRODUCTION; 2. BACKWARD INDUCTION AND FORWARD INDUCTION; 3. INFORMAL APPLICATIONS; 4. THE PROBLEM OF INCONSISTENCY; 5. THE EXISTENCE THEOREM: VERSION I; 6. FORMAL APPLICATIONS; 7. CONSISTENCY OF BELIEFS; 8. ADMISSIBILITY; 9. RESTRICTIONS ON OUT-OF-EQUILIBRIUM BELIEFS; 10. ALTERNATIVE VIEWS OF ""IRRELEVANT ALTERNATIVES""; 11. DEDUCTIONS BEYOND IIA; 12. CONCLUDING REMARKS; ACKNOWLEDGMENTS; APPENDIX A; APPENDIX B: PROOF OF THEOREM 3.

Equilibrium points in n-person games ; The bargaining problem / John F. Nash, Jr. -- Non-cooperative games / John Nash -- An iterative method of solving a game / Julia Robinson -- Equivalence of games in extensive form / F.B. Thompson -- Extensive games and the problem of information / H.W. Kuhn -- A value for n-person games ; Stochastic games / L.S. Shapley -- Recursive games / H. Everett -- Von Neumann-Morgenstern solutions to cooperative games without side payments / R.J. Aumann and B. Peleg -- A limit theorem on the core of an economy / Gerard Debreu and Herbert Scarf -- The bargaining set for cooperative games / Robert J. Aumann and Michael Maschler -- Existence of competitive equilibria in markets with a continuum of traders / Robert J. Aumann -- The core of an n-person game / Herbert E. Scarf -- Games with incomplete information played by "Bayesian" players. pt. 1. The basic model ; pt. 2. Bayesian equilibrium points ; pt. 3. The basic probability distribution of the game / John C. Harsanyi -- The big match / David Blackwell and T.S. Ferguson -- On market games / Lloyd S. Shapley and Martin Shubik -- Reexamination of the perfectness concept for equilibrium points in extensive games / R. Selten.

Based on papers prepared for the Peace Research Seminar and the Symposium on Game Theory Models Applied to Case Studies of International Conflict, held in Ontario, June 11-13, 1984. Some consideration of the "prisoner's dilemma" game and tactics used in the negotiations concerning the release of US hostages from Iran in 1979-80.