Natural games

Details Natural games Natural games

2011-03-05

arxiv.org/abs/1103.1656v1

Physics Letters A 2011 375, 3755-3761

Physics

General Physics

14 pages, 1 figure

Scientific paper

10.1016/j.physleta.2011.08.056

Behavior in the context of game theory is described as a natural process that follows the 2nd law of thermodynamics. The rate of entropy increase as the payoff function is derived from statistical physics of open systems. The thermodynamic formalism relates everything in terms of energy and describes various ways to consume free energy. This allows us to associate game theoretical models of behavior to physical reality. Ultimately behavior is viewed as a physical process where flows of energy naturally select ways to consume free energy as soon as possible. This natural process is, according to the profound thermodynamic principle, equivalent to entropy increase in the least time. However, the physical portrayal of behavior does not imply determinism. On the contrary, evolutionary equation for open systems reveals that when there are three or more degrees of freedom for behavior, the course of a game is inherently unpredictable in detail because each move affects motives of moves in the future. Eventually, when no moves are found to consume more free energy, the extensive-form game has arrived at a solution concept that satisfies the minimax theorem. The equilibrium is Lyapunov-stable against variation in behavior within strategies but will be perturbed by a new strategy that will draw even more surrounding resources to the game. Entropy as the payoff function also clarifies motives of collaboration and subjective nature of decision making.

Affiliated with

Also associated with

No associations

Rating

Natural games does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Natural games, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Natural games will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8993