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Multiplayer quantum games: the end of prisonner dilema?

Phys. Rev. A 64, 030301(R) (2001) [4 pages]

Multiplayer quantum games

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Simon C. Benjamin and Patrick M. Hayden
Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, United Kingdom

Received 6 September 2000; revised 2 February 2001; published 13 August 2001

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess an alternative form of equilibrium strategy, one which has no analog either in traditional games or even in two-player quantum games. In these “coherent” equilibria, entanglement shared among multiple players enables different kinds of cooperative behavior: indeed it can act as a contract, in the sense that it prevents players from successfully betraying one another.

© 2001 The American Physical Society

03.67.Lx, 02.50.Le, 03.65.Ta

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