The concepts of game theory (rationality etc) now pervade much of social science, so that Professor Zagare's exposition of game theory and its applications (intended to "convert the unconverted and initiate the uninitiated") is very welcome. He 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. Diverse examples give the reader an idea of how the theory can be applied to a wide range of situations.
This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any ...
[ x2, 3x , 2 3x2 The intuition for Kakutani's fixed-point theorem is somewhat similar to that for Brouwer's theorem. Brouwer's theorem was stated using two qualifiers: first, the function f(x) was continuous, and second, ...
First published in 1944, this book, co-written by an economist & a mathematician, conceived a groundbreaking theory of economic & social organisation based on a theory of games of strategy.
4.2 Backward Induction and Subgame Perfect Equilibrium 205 Fight Cave 1 0 Fight Cave 1/2 1/2 Fight Cave 1/2 1/2 Fight Cave 1 0 1 Quiche Quiche 1/2 1/2 1/3 Strong 0 1 2/3 Weak Beer Beer 1 3 0 0 1 1 13 1 2 2 0 0 0 0 2:1 1:1 C :1 1:2 2:2 ...
The book focuses on noncooperative game theory and its application to international relations, political economy, and American and comparative politics.
Crawford, V. 1979. "On Compulsory-Arbitration Schemes." Journal of Political Economy 87:131-159. Crawford, V. 1981. "Arbitration and Conflict Resolution in Labor-Management Bargaining." American Economic Review: Papers and Proceedings ...
Game theory is the mathematical study of interaction among independent, self-interested agents.
In the last few years game theory has had a substantial impact on computer science, especially on Internet- and e-commerce-related issues.
Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields.
It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory.