Games under ambiguous payoffs and optimistic attitudes

In real-life games,the consequence or payoff of a strategy profile and a player's belief about the consequence of a strategy profile are often ambiguous,and players may have different optimistic attitudes with respect to a strategy profile. to handle this problem,this paper proposes a decision rule using the hurwicz criterion and dempster-shafer theory. based on this rule,we introduce a new kind of games,called ambiguous games,and propose a solution concept that is appropriate for this sort of games. moreover,we also study how the beliefs regarding possible payoffs and optimistic attitudes may affect the solutions of such a game. to illustrate our model,we provide an analysis of a scenario concerning allocating resource of defending and attacking in military contexts. © 2014 wei xiong.