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Article overview
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The equivalence of Bell's inequality and the Nash inequality in a quantum game-theoretic setting | | Azhar Iqbal
; James M. Chappell
; Derek Abbott
; | | Date: |
27 Jul 2015 | | Abstract: | Are there two-player games in which a strategy pair can exist as a Nash
equilibrium only when the game is played quantum mechanically? To find an
answer to this question, we study two-player games that are played in
generalized Einstein-Podolsky-Rosen setting. Considering particular strategy
pairs, we identify sets of games for which the pair can exist as a Nash
equilibrium when Bell’s inequality is violated. We thus identify games and
players’ strategies for which the Nash inequality becomes equivalent to Bell’s
inequality. As the violation of Bell’s inequality is regarded as being quantum
in nature, this paper thus addresses the earliest criticisms of quantum games
that questioned if they were truly quantum. | | Source: | arXiv, 1507.7341 | | Services: | Forum | Review | PDF | Favorites | |
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