Topics in Mathematical Economics and Game Theory: Essays in Honor of Robert J.Aumann (Fields Institute Communications)

Topics in Mathematical Economics and Game Theory: Essays in Honor of Robert J.Aumann (Fields Institute Communications)

By: Myrna Wooders (editor)Hardback

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Description

Since the publication of ""Theory of Games and Economic Behavior"" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics.This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, 'Acceptable Points in General Cooperative $n$-Person Games' and of the oft-cited, yet hard to find, paper by Maschler, 'The Worth of a Cooperative Enterprise to Each Member'. This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.

Contents

Acceptable points in general cooperative $n$-person games by R. J. Aumann Non-cooperative game theory: Young measure techniques for existence of Cournot-Nash-Walras equilibria by E. J. Balder Modeling free choice in games by S. J. Brams Cooperative game theory: Pairwise-bargained consistency and game theory: The case of a two-sided firm by T. S. H. Driessen A new characterization of totally balanced games by J. E. Martinez-Legaz The worth of a cooperative enterprise to each member by M. Maschler Bargaining between heterogeneous organizations by G. H. McCormick and G. Owen Coalition structure values of mixed games by R. P. McLean Aumann-Shapely random order values of non-atomic games by L. K. Raut Economics and social choice: On the existence of core allocations in a large economy with incentive-compatibility constraints by B. Allen Economic applications of probabilistic cheap talk by B. Chakravorti, J. P. Conley, and B. Taub Multilaterally strategy-proof mechanisms in random Aumann-Hildenbrand macroeconomies by P. J. Hammond Arbitrage with price-dependent preferences: Equilibrium and market stability by F. H. Page, Jr. and M. H. Wooders A smooth social choice method of preference aggregation by N. Schofield Clubs, near markets and market games by M. Shubik and M. H. Wooders On economic applications of the Kuhn-Fourier theorem by A. H. Turunen-Red and A. D. Woodland Coalition-proofness of the competitive allocations in an indivisible goods market by J. Wako.

Product Details

  • ISBN13: 9780821805251
  • Format: Hardback
  • Number Of Pages: 291
  • ID: 9780821805251
  • ISBN10: 0821805258

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