Games with Ambiguous Payoffs and Played by Ambiguity and Regret Minimising Players

In real life games, a player's belief about the consequence of a strategy is often ambiguous due to out-of-control factors in the environment where the games are played. However, existing work cannot handle this situation. To address the issue, we introduce a new kind of games, called ambiguous games, and incorporate human cognitive factors of ambiguity aversion and minimising regret to propose a concept of solution to such a game. Moreover, we also study how ambiguity degrees of belief about payoffs impact the outcomes of a game, and find the condition under which a player should release more or less ambiguous information to his opponents.