Non-Transitive Quantum Games

Details Non-Transitive Quantum Games Non-Transitive Quantum Games

2003-07-09

arxiv.org/abs/quant-ph/0307072v1

Physics

Quantum Physics

Scientific paper

Non-transitivity can arise in games with three or more strategies $A,B,C$, when $A$ beats $B$, $B$ beats $C$, and $C$ beats $A$, ($A>B>C>A$). An example is the children's game \textquotedblleft rock, scissors, paper" ($R,S,P$) where $R>S>P>R$. We discuss the conditions under which quantum versions of $R,S,P$ retain the non-transitive characteristics of the corresponding classical game. Some physical implications of non-transitivity in quantum game theory are also considered.

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