dorsal/arxiv
View SchemaNon-Transitive Quantum Games
| Authors | Michael Stohler, Ephraim Fischbach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307072 |
| URL | https://arxiv.org/abs/quant-ph/0307072 |
Abstract
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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"abstract": "Non-transitivity can arise in games with three or more strategies $A,B,C$,\nwhen $A$ beats $B$, $B$ beats $C$, and $C$ beats $A$, ($A\u003eB\u003eC\u003eA$). An example\nis the children\u0027s game \\textquotedblleft rock, scissors, paper\" ($R,S,P$) where\n$R\u003eS\u003eP\u003eR$. We discuss the conditions under which quantum versions of $R,S,P$\nretain the non-transitive characteristics of the corresponding classical game.\nSome physical implications of non-transitivity in quantum game theory are also\nconsidered.",
"arxiv_id": "quant-ph/0307072",
"authors": [
"Michael Stohler",
"Ephraim Fischbach"
],
"categories": [
"quant-ph"
],
"title": "Non-Transitive Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0307072"
},
"schema_id": "dorsal/arxiv",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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