On Solutions for N-person Games

On Solutions for N-person Games
Author: William F. Lucas
Publisher:
Total Pages: 28
Release: 1968
Genre: Game theory
ISBN:

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A solution concept for n-person cooperative games in characteristic function form was introduced by von Neumann and Morgenstern in 1944. This study reviews the definitions of an n-person game and then describes two games whose sets of solutions are rather restricted. The first is a five-person game which has a unique solution that is nonconvex. The second is an eight-person game that has no solution possessing the symmetry of the characteristic function. (Author).

Game Theory

Game Theory
Author: Frank C. Zagare
Publisher: SAGE
Total Pages: 100
Release: 1984-07
Genre: Mathematics
ISBN: 9780803920507

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Professor Zagare provides methods for analysing the structure of the game; considers zero and nonzero-sum games and the fundamental 'minimax theorem'; and investigates games with more than two players, including the possibility of coalitions between players.

Game Theory and Public Policy

Game Theory and Public Policy
Author: Roger A. McCain
Publisher: Edward Elgar Publishing
Total Pages: 269
Release: 2010
Genre: Political Science
ISBN: 1849802203

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Game theory is useful in understanding collective human activity as the outcome of interactive decisions. In recent years it has become a more prominent aspect of research and applications in public policy disciplines such as economics, philosophy, management and political science, and in work within public policy itself. Here Roger McCain makes use of the analytical tools of game theory with the pragmatic purpose of identifying problems and exploring potential solutions in public policy. In practice, the influence of game theory on public policy and related disciplines has been less a consequence of broad theorems than of insightful examples. Accordingly, the author offers a critical review of major topics from both cooperative and noncooperative game theory, including less-known ideas in noncooperative game theory and constructive proposals for new approaches. In so doing, he provides a toolkit for the analysis of public policy as well as a clearer understanding of the public policy enterprise itself. The author s unique approach and treatment of game theory will be a useful resource for students and scholars of economics and public policy, as well as for policymakers themselves.