In this paper we propose a new method to associate a coalitional game with each strategic game. The method is based on the lower value of matrix games. We axiomatically characterize this new method, as well as the method that was described in von Neumann and Morgenstern (1944). As an...

In this note we use the Shapley value to define a valuation function. A valuation function associates with every non-empty coalition of players in a strategic game a vector of payoffs for the members of the coalition that provides these playersÂ’ valuations of cooperating in the coalition....

In this paper we propose a method to associate a coalitional interval game with each strategic game. The method is based on the lower and upper values of finite two-person zero-sum games. We axiomatically characterize this new method. As an intermediate step, we provide some axiomatic...