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|Title:||Full characterization of quantum correlated equilibria|
|Authors:||Wei, Z. |
|Citation:||Wei, Z.,Zhang, S. (2013). Full characterization of quantum correlated equilibria. Quantum Information and Computation 13 (9-10) : 0846-0860. ScholarBank@NUS Repository.|
|Abstract:||Quantum game theory aims to study interactions of people (or other agents) using quan- tum devices with possibly conflicting interests. Recently Zhang studied some quantita- tive questions in general quantum strategic games of growing sizes . However, a fundamental question not addressed there is the characterization of quantum correlated equilibria (QCE). In this paper, we answer this question by giving a sufficient and nec- essary condition for an arbitrary state ρ being a QCE. In addition, when the condition fails to hold for some player i, we give an explicit positive-operator valued measurement (POVM) for that player to achieve a strictly positive gain of payoff. Finally, we give some upper bounds for the maximum gain by playing quantum strategies over classical ones, and the bounds are tight for some games. © Rinton Press.|
|Source Title:||Quantum Information and Computation|
|Appears in Collections:||Staff Publications|
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