Constructing quantum games from nonfactorizable joint probabilities

Constructing quantum games from nonfactorizable joint probabilities.

A probabilistic framework is developed that gives a unifying perspective on both the classical and quantum versions of two-player games. We suggest exploiting peculiar joint probabilities involved in Einstein-Podolsky-Rosen (EPR) experiments to construct a quantum game when the corresponding classical game is obtained from factorizable joint probabilities. We analyze how nonfactorizability chan...

Constructing quantum games from symmetric non-factorizable joint probabilities

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...

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...

Constructing Lower Probabilities

An elaboration of Dempster's method of con­ structing belief functions suggests a broadly applicable strategy for constructing lower probabilities under a variety of evidentiary constraints.