A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement
Charles D Hill, Adrian P Flitney, Nicolas C Menicucci
PHYSICS LETTERS A | ELSEVIER SCIENCE BV | Published : 2010
While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting. We construct a competitive game between four players based on the minority game where the maximal Nash-equilibrium payoff when played with the appropriate quantum resource is greater than that obtainable by classical means, assuming a local hidden variable model. © 2010 Elsevier B.V. All rights reserved.
Awarded by Army Research Office (ARO)
The authors are grateful for useful comments by David Pritchard, University of Waterloo and Steven van Enk, University of Oregon. This work was supported by the Australian Research Council, the Australian Government, and the US National Security Agency (NSA) and the Army Research Office (ARO) under contract number W911NF-08-1-0527. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation.