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2014 Games under Ambiguous Payoffs and Optimistic Attitudes
Wei Xiong
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/531987

Abstract

In real-life games, the consequence or payoff of a strategy profile and a player's belief about the consequence of a strategy profile are often ambiguous, and players may have different optimistic attitudes with respect to a strategy profile. To handle this problem, this paper proposes a decision rule using the Hurwicz criterion and Dempster-Shafer theory. Based on this rule, we introduce a new kind of games, called ambiguous games, and propose a solution concept that is appropriate for this sort of games. Moreover, we also study how the beliefs regarding possible payoffs and optimistic attitudes may affect the solutions of such a game. To illustrate our model, we provide an analysis of a scenario concerning allocating resource of defending and attacking in military contexts.

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Wei Xiong. "Games under Ambiguous Payoffs and Optimistic Attitudes." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/531987

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010671
MathSciNet: MR3166772
Digital Object Identifier: 10.1155/2014/531987

Rights: Copyright © 2014 Hindawi

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