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...

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...

I survey the literature on network formation in situations where the possible gains from cooperation of coalitions of agents are modeled by a coalitional game. I discuss the models that appear in the literature and their predictions on the networks that will be formed according to various...

We define a concept of status equilibrium for local public good economies. A status equilibrium specifies one status index for each agent in an economy. These indices determine agentsÂ’ cost shares in any possible jurisdiction. We provide an axiomatic charaterization of status equilibrium...

I provide an elegant proof identifying the unique mixed Nash equilibrium of the Rock-Paper-Scissors game. The proof is based on intuition rather than elimination of cases. It shows that for any mixed strategy other than the one that puts equal probability on each of a player's actions, it holds...