|
| related topics |
| {error, code, errors} |
| {cos, sin, state} |
| {alice, bob, state} |
| {entanglement, phys, rev} |
| {classical, space, random} |
| {theory, mechanics, state} |
| {observables, space, algebra} |
|
Nash equilibria in quantum games with generalized two-parameter
strategies
Adrian P. Flitney, Lloyd C. L. Hollenberg
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0610084
- categories:
- quant-ph
- comments:
- 19 pages, 2 eps figures
- doi:
- 10.1016/j.physleta.2006.11.044
- arxiv_id:
- quant-ph/0610084
- journal_ref:
- Phys. Lett. A 363 (2007) 381-388
- created:
- 2006-10-10
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