dorsal/arxiv
View SchemaOn Pay-off induced Quantum Games
| Authors | F. M. C. Witte |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208171 |
| URL | https://arxiv.org/abs/quant-ph/0208171 |
Abstract
In recent years methods have been proposed to extend classical game theory into the quantum domain. This paper explores further extensions of these ideas that may have a substantial potential for further research. Upon reformulating quantum game theory as a theory of classical games played by "quantum players" I take a constructive approach. The roles of the players and the arbiter are investigated for clues on the nature of the quantum game space. Upon examination of the role of the arbiter, a possible non-commutative nature of pay-off operators can be deduced. I investigate a sub-class of games in which the pay-off operators satisfy non-trivial commutation relations. Non-abelian pay-off operators can be used to generate whole families of quantum games.
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"abstract": "In recent years methods have been proposed to extend classical game theory\ninto the quantum domain. This paper explores further extensions of these ideas\nthat may have a substantial potential for further research. Upon reformulating\nquantum game theory as a theory of classical games played by \"quantum players\"\nI take a constructive approach. The roles of the players and the arbiter are\ninvestigated for clues on the nature of the quantum game space.\n Upon examination of the role of the arbiter, a possible non-commutative\nnature of pay-off operators can be deduced. I investigate a sub-class of games\nin which the pay-off operators satisfy non-trivial commutation relations.\nNon-abelian pay-off operators can be used to generate whole families of quantum\ngames.",
"arxiv_id": "quant-ph/0208171",
"authors": [
"F. M. C. Witte"
],
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"quant-ph"
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"title": "On Pay-off induced Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0208171"
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