Constructing quantum games from nonfactorizable joint probabilities.

Probabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting

Article history: Received 23 May 2008 Received in revised form 5 September 2008 Accepted 9 September 2008 Available online 20 September 2008 Communicated by C.R. Doering This Letter extends our probabilistic framework for two-player quantum games to the multiplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the Einstein–Podo...

Constructing quantum games from symmetric non-factorizable joint probabilities

Constructing quantum games from a system of Bell’s inequalities

We report constructing quantum games directly from a system of Bell’s inequalities using Arthur Fine’s analysis published in early 1980s. This analysis showed that such a system of inequalities forms a set of both necessary and sufficient conditions required to find a joint distribution function compatible with a given set of joint probabilities, in terms of which the system of Bell’s inequalit...

Probabilistic analysis of three-player symmetric quantum games played using EPR setting

This paper extends our probabilistic framework for two-player quantum games to the mutliplayer case, while giving a unifying perspective on both classical and quantum games. Considering joint probabilities in the standard Einstein-Podolsky-Rosen (EPR) setting for three observers, we use this setting in order to play general three-player non-cooperative symmetric games. We analyze how the peculi...

Constructing quantum games from non-factorizable probabilities

A probabilistic framework is developed in which one can analyze both the classical and the quantum games. We suggest exploiting peculiar probabilities involved in the Einstein-Podolsky-Rosen (EPR) experiments to construct quantum games. In our framework a game attains classical interpretation when probabilities are factorizable and a quantum game corresponds when probabilities cannot be factori...