Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
نویسنده
چکیده
This paper introduces Hermite’s polynomials, in the description of quantum games. Hermite’s polynomials are associated with gaussian probability density. The gaussian probability density represents minimum dispersion. I introduce the concept of minimum entropy as a paradigm of both Nash’s equilibrium (maximum utility MU) and Hayek equilibrium (minimum entropy ME). The ME concept is related to Quantum Games. Some questions arise after carrying out this exercise: i) What does Heisenberg’s uncertainty principle represent in Game Theory and Time Series?, and ii) What do the postulates of Quantum Mechanics indicate in Game Theory and Economics?. PACS numbers: 03.67.Lx, 03.65.Ge AMS numbers: 91A22, 91A23, 91A40.
منابع مشابه
Quantum Games and Minimum Entropy
This paper analyze Nash’s equilibrium (maximum utilility MU) and its relation with the order state (minimum entropy ME). I introduce the concept of minimum entropy as a paradigm of both Nash-Hayek’s equilibrium. The ME concept is related to Quantum Games. One question arises after completing this exercise: What do the Quantum Mechanics postulates indicate about Game Theory and Economics? Journa...
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عنوان ژورنال:
- Entropy
دوره 5 شماره
صفحات -
تاریخ انتشار 2003