Strategy Density Solutions with Greatest Entropy of a Continuous Game
连续对策的最大熵策略密度对策解

For a continuous game on a square 0,2]\times 0,2], derivative of a player's non-pure strategy (a probability distribution function) is called the player's strategy density (a probability density function). In this paper studies, the theory of greatest entropy of the continuous game is considered. It is proved that if each player has no optimal pure strategy, then set of optimal strategy densities is a nonempty compact convex set. The greatest entropy of optimal strategy densities is studied, and a continuous game with the greatest entropy is given.