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A Decision Analysis Approach To Solving the Signaling Game

Barry Cobb and Atin Basuchoudhary

MPRA Paper from University Library of Munich, Germany

Abstract: Decision analysis has traditionally been applied to choices under uncertainty involving a single decision maker. Game theory has been applied to solving games of strategic interaction between two or more players. Building upon recent work of van Binsbergen and Marx (2007. Exploring relations between decision analysis and game theory. Decision Anal. 4(1) 32–40.), this paper defines a modified decision-theoretic approach to solving games of strategic interaction between two players. Using this method, the choices of the two players are modeled with separate decision trees comprised entirely of chance nodes. Optimal policies are reflected in the probabilities in the decision trees of each player. In many cases, the optimal strategy for each player can be obtained by rolling back the opponent’s decision tree. Results are demonstrated for the multi-stage signaling game, which is difficult to model using decision nodes to represent strategies,as in the approach of van Binsbergen and Marx.

Keywords: decision analysis; decision tree; game theory; mixed strategy; signaling game. (search for similar items in EconPapers)
JEL-codes: C02 C72 (search for similar items in EconPapers)
Date: 2009-05-07, Revised 2009-05-07
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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