Can the game be quantum?

dc.creatorGrib, Andrey
dc.creatorParfionov, Georges
dc.date2002-06-25
dc.date.accessioned2026-07-07T06:04:29Z
dc.date.available2026-07-07T06:04:29Z
dc.descriptionThe game in which acts of participants don't have an adequate description in terms of Boolean logic and classical theory of probabilities is considered. The model of the game interaction is constructed on the basis of a non-distributive orthocomplemented lattice. Mixed strategies of the participants are calculated by the use of probability amplitudes according to the rules of quantum mechanics. A scheme of quantization of the payoff function is proposed and an algorithm for the search of Nash equilibrium is given. It is shown that differently from the classical case in the quantum situation a discrete set of equilibrium is possible.
dc.descriptionLATEX, 26 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0206178
dc.identifierhttp://arxiv.org/abs/quant-ph/0206178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90314
dc.subjectQuantum Physics
dc.titleCan the game be quantum?
dc.typetext

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