Natural games. (English) Zbl 1254.82029
Summary: A course of a game is formulated as a physical process that will consume free energy in the least time. Accordingly, the rate of entropy increase is the payoff function that will subsume all forms of free energy that motivate diverse decisions. Also other concepts of game theory are related to their profound physical counterparts. When the physical portrayal of behavior is mathematically analyzed, the course of a game is found to be inherently unpredictable because each move affects motives in the future. Despite the non-holonomic character of the natural process, the objective of consuming free energy in the least time will direct an extensive-form game toward a Lyapunov-stable point that satisfies the minimax theorem.
MSC:
| 82C35 | Irreversible thermodynamics, including Onsager-Machlup theory |
| 91A22 | Evolutionary games |
| 62N02 | Estimation in survival analysis and censored data |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
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