dorsal/arxiv
View SchemaNash equilibria in quantum games with generalized two-parameter strategies
| Authors | Adrian P. Flitney, Lloyd C. L. Hollenberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610084 |
| URL | https://arxiv.org/abs/quant-ph/0610084 |
| DOI | 10.1016/j.physleta.2006.11.044 |
| Journal | Phys. Lett. A 363 (2007) 381-388 |
Abstract
In the Eisert protocol for 2 X 2 quantum games [Phys. Rev. Lett. 83, 3077], a number of authors have investigated the features arising from making the strategic space a two-parameter subset of single qubit unitary operators. We argue that the new Nash equilibria and the classical-quantum transitions that occur are simply an artifact of the particular strategy space chosen. By choosing a different, but equally plausible, two-parameter strategic space we show that different Nash equilibria with different classical-quantum transitions can arise. We generalize the two-parameter strategies and also consider these strategies in a multiplayer setting.
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"abstract": "In the Eisert protocol for 2 X 2 quantum games [Phys. Rev. Lett. 83, 3077], a\nnumber of authors have investigated the features arising from making the\nstrategic space a two-parameter subset of single qubit unitary operators. We\nargue that the new Nash equilibria and the classical-quantum transitions that\noccur are simply an artifact of the particular strategy space chosen. By\nchoosing a different, but equally plausible, two-parameter strategic space we\nshow that different Nash equilibria with different classical-quantum\ntransitions can arise. We generalize the two-parameter strategies and also\nconsider these strategies in a multiplayer setting.",
"arxiv_id": "quant-ph/0610084",
"authors": [
"Adrian P. Flitney",
"Lloyd C. L. Hollenberg"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2006.11.044",
"journal_ref": "Phys. Lett. A 363 (2007) 381-388",
"title": "Nash equilibria in quantum games with generalized two-parameter strategies",
"url": "https://arxiv.org/abs/quant-ph/0610084"
},
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