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Best Response Analysis in Two Person Quantum Games
Department of Mathematics, Texas A & M University—Kingsville, Kingsville, Texas, USA
Department of Mathematics, Texas A & M University—Kingsville, Kingsville, Texas, USA
- 1 Department of Mathematics, Texas A & M University—Kingsville, Kingsville, Texas, USA
- 2 Department of Mathematics, Texas A & M University—Kingsville, Kingsville, Texas, USA
Advances in Pure Mathematics·Volume 04 (2014)·Pages 341–356·Published 7 July 2014·DOI10.4236/apm.2014.47045
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Abstract
In this paper, we find particular use for a maximally entangled initial state that produces a quantized version of two player two strategy games. When applied to a variant of the well-known game of Chicken, our construction shows the existence of new Nash equilibria with the players receiving better payoffs than those found in literature.
KeywordsQuantum GamesNash EquilibriumQuaternionsBest Response AnalysisGame Extensions
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