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Open Quantum Systems Decoherence

Arbiter as the Third Man in classical and quantum games

arXiv

Authors: Jaroslaw Pykacz, Piotr Frackiewicz

Year

2007

Paper ID

49764

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We study possible influence of not necessarily sincere arbiter on the course of classical and quantum 2x2 games and we show that this influence in the quantum case is much bigger than in the classical case. Extreme sensitivity of quantum games on initial states of quantum objects used as carriers of information in a game shows that a quantum game, contrary to a classical game, is not defined by a payoff matrix alone but also by an initial state of objects used to play a game. Therefore, two quantum games that have the same payoff matrices but begin with different initial states should be considered as different games.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We study possible influence of not necessarily sincere arbiter on the course of classical and quantum 2x2 games and we show that this influence in the quantum case is much...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.0591 [2] arXiv https://arxiv.org/abs/0707.0591 [3] Publisher https://arxiv.org/abs/0707.0591

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