dorsal/arxiv
View SchemaProbability amplitude in quantum like games
| Authors | A. A. Grib, A. Yu. Khrennikov, K. Starkov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308074 |
| URL | https://arxiv.org/abs/quant-ph/0308074 |
| DOI | 10.1088/0305-4470/39/26/013 |
| Journal | J. Phys. A.: Math. Gen. 39, 8461-8475 (2006) |
Abstract
Examples of games between two partners with mixed strategies, calculated by the use of the probability amplitude are given. The first game is described by the quantum formalism of spin one half system for which two noncommuting observables are measured. The second game corresponds to the spin one case. Quantum logical orthocomplemented nondistributive lattices for these two games are presented. Interference terms for the probability amplitudes are analyzed by using so called contextual approach to probability (in the von Mises frequency approach). We underline that our games are not based on using of some microscopic systems. The whole scenario is macroscopic.
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"abstract": "Examples of games between two partners with mixed strategies, calculated by\nthe use of the probability amplitude are given. The first game is described by\nthe quantum formalism of spin one half system for which two noncommuting\nobservables are measured.\n The second game corresponds to the spin one case.\n Quantum logical orthocomplemented nondistributive lattices for these two\ngames are presented. Interference terms for the probability amplitudes are\nanalyzed by using so called contextual approach to probability (in the von\nMises frequency approach). We underline that our games are not based on using\nof some microscopic systems. The whole scenario is macroscopic.",
"arxiv_id": "quant-ph/0308074",
"authors": [
"A. A. Grib",
"A. Yu. Khrennikov",
"K. Starkov"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/26/013",
"journal_ref": "J. Phys. A.: Math. Gen. 39, 8461-8475 (2006)",
"title": "Probability amplitude in quantum like games",
"url": "https://arxiv.org/abs/quant-ph/0308074"
},
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