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Quantum 2-player gambling and correlated pay-off. (English) Zbl 1090.91013

Summary: In recent years methods have been proposed to extend classical game theory into the quantum domain. In a previous publication the nature of several non-commutative games was briefly analyzed.
Here we give an analysis of the simplest non-commutative quantum game, which is a gambling game much like simple heads or tails. The quantum game displays strategies which, though non direct-product strategies, allow for correlations between the players pay-off.

MSC:

91A60 Probabilistic games; gambling
91A05 2-person games
81P99 Foundations, quantum information and its processing, quantum axioms, and philosophy
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