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Quantum two- and three-person duels

Adrian P Flitney and Derek Abbott

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In game theory, a popular model of a struggle for survival among three competing agents is a truel, or three-person generalization of a duel. Adopting the ideas recently developed in quantum game theory, we present a quantum scheme for the problems of duels and truels. In the classical case, the outcome is sensitive to the precise rules under which the truel is performed and can be counterintuitive. These aspects carry over into our quantum scheme, but interference amongst the players' strategies can arise, leading to game equilibria different from the classical case.


PACS

03.67.-a Quantum information

02.50.Le Decision theory and game theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 8 (August 2004)

Received 17 November 2003, accepted for publication 3 February 2004

Published 27 July 2004



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