Reflexive games: informational structure transformation

A game-theoretical model of reflexive decision-making is built. If a normal form reflexive game is repeated several times, some (or even all) agents may observe the results such as choices of opponents, values of goal functions etc., different from the expected one. In such case, the informational structure of the game is changed. The paper discusses three problems: informational structure, actions of the agents based on it, and informational structure transformation.