Quantum game theory

Michael Lehman Stohler, Purdue University

Abstract

Non-cooperative quantum games have received much attention recently. This thesis defines and divides current works into two major categories of gaming techniques with close attention paid to Nash equilibria, form and possibilities for the payoff functions, and the benefits of using a quantum strategy. In addition to comparing and contrasting these techniques, new applications and calculations are discussed. Finally, the techniques are expanded into 3 x 3 games which allows the study of non-transitive strategies in quantum games.

Degree

Ph.D.

Advisors

Fischbach, Purdue University.

Subject Area

Physics

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