The Rule for Evolution of Cooperation in Quantum Games

• Authors: Z. Sun
• Languages of publication: EN

Abstracts

EN

Cooperation is essential to biological organizations and human society. In this paper, the conditions of dilemmas resolving by quantum strategies in the three games, Prisoners' Dilemma, Chicken Game and Stag Hunt, are presented. The rule for the evolution of cooperation in general quantum games, b/c > coth^{2}γ, is put forward. The formation of the rule is similar to those of the five rules in the classical game theory summarized by Nowak. b/c is still the benefit-to-cost ratio of the altruistic act, while γ is a measure for the game's entanglement. The rule is the prerequisite for the realization of cooperation in quantum games.

Keywords

EN

02.50.Le; 03.67.-a; 87.23.-n

Discipline

• 03.67.-a: Quantum information(see also 42.50.Dv Quantum state engineering and measurements; 42.50.Ex Optical implementations of quantum information processing and transfer in quantum optics)
• 87.23.-n: Ecology and evolution
• 02.50.Le: Decision theory and game theory

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 2
• Pages: 135-140

Dates

published

2009-08

received

2009-03-04

(unknown)

2009-05-14

Contributors

author

Z. Sun

• Institute of Applied Sciences, Shanghai Dianji University, Shanghai 200240, PR China

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Identifiers

DOI

10.12693/APhysPolA.116.135