A systematic theory is introduced that describes stochastic effects in game
theory. In a biological context, such effects are relevant for the evolution of
finite populations with frequency-dependent selection. They are characterized
by quantum Nash equilibria, a generalization of the well-known Nash equilibrium
points in classical game theory. The implications of this theory for biological
systems are discussed in detail.Comment: 6 pages, 1 Postscript figur

Lassig, Michael

English

arXiv

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

Quantum Game Theory

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