The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Quantum Strategies
Open accessAbstract
We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). While not every two-person zero-sum finite game has an equilibrium in the set of pure strategies, von Neumann showed that there is always an equilibrium at which each player follows a mixed strategy. A mixed strategy deviating from the equilibrium strategy cannot increase a player's expected payoff. We show by example, however, that a player who implements a quantum strategy can increase his expected payoff, and explain the relation to efficient quantum algorithms.
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb00917.x · Cited by 48,949
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
Equilibrium points in n -person games
Nash, J. F. (1950) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.36.1.48 · Cited by 7,560
Scheme for reducing decoherence in quantum computer memory
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Theory of Games and Economic Behavior
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Mathematical foundations of quantum mechanics
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Error Correcting Codes in Quantum Theory
Steane, A. M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.793 · Cited by 2,677
Zur Theorie der Gesellschaftsspiele
v. Neumann, J. (1928) · Mathematische Annalen · doi:10.1007/bf01448847 · Cited by 2,572
Cited by
New Paradoxical Games Based on Brownian Ratchets
Parrondo, J. M. R., Harmer, G. P., & Abbott, D. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.5226 · Cited by 261
Does quantum mechanics play a non-trivial role in life?
Davies, P. C. W. (2004) · Biosystems · doi:10.1016/j.biosystems.2004.07.001 · Cited by 187
A survey of the current status of research on quantum games
Huang, D., & Li, S. (2018) · 2018 4th International Conference on Information Management (ICIM) · doi:10.1109/infoman.2018.8392807 · Cited by 8
Metadata
- Authors
- Meyer, D. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-02-01
- Volume
- 82
- Issue
- 5
- Pages
- 1052-1055
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3038125555
- Cited by
- 773
- References
- 19
- FWCI
- 21.16
- Type
- journal article
- Language
- en
- Open access
- green
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