Game Theory and Applications

by L. A. Petrosjan, V. V. Mazalov

Overview

This collection consists of 15 papers written by an international array of professors in mathematics and information science. The contributors present recent results in the application of mathematical theory to the logic and analysis of how games of played. Among the topics are a modified Banzhaf index for voting games, the dummy paradox of the bargaining set, consistency and its converse in assignment games, and intertemporal strategic behavior under stochastic dynamics and uncertain payoffs. Annotation c. Book News, Inc., Portland, OR

Product Details

ISBN-13:	9781560722663
Publisher:	ABC-CLIO, Incorporated
Publication date:	11/28/1995
Pages:	207
Product dimensions:	6.30(w) x 9.06(h) x (d)

Table of Contents

	The Description of Game Actions in Cluedo	1
	Modified Banzhaf Index for Voting Games	29
	Classification of Matrices by Means of Envelopes for Bicriteria Matrix Game	43
	Epistemic Logic: A Survey	53
	Multistage Arbitration Game with Random Offers	95
	Game Theoretic Modeling of Hierarchical Control of Sustainable Development	107
	The Dummy Paradox of the Bargaining Set	119
	New Classes of Solutions in Multistage Games with Applications to "Prisoner's" Dilemma	125
	Ethical Behavior as Transformation of Utility	135
	On Certain Generalization of Rubinstein's Bargaining Model	159
	Consistency and its Converse in Assignment Games	171
	Price Competition in Olygopoly: the Conditions of Convergence to and Deviation from Walrasian equilibrium	189
	Overlapping Generations Randomly-Furcating Stochastic Differential Games: Intertemporal Strategic Behavior under Stochastic Dynamics and Uncertain Payoffs	213
	Games as People Play and How to Form Winning Strategies	245
	Geometrical Properties of the Core, Subcore and Nucleolus	279