We analyze the formation of networks among individuals. In particular, we examine the existence of networks that are stable against changes in links by any coalition of individuals. We show that to investigate the existence of such strongly stable networks one can restrict focus on a...

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...

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...

This paper proposes axiomatic foundations of expectation formation rules, by which deviating players anticipate the reaction of external players in a partition function game. The projection rule is the only rule satisfying subset consistency and responsiveness to the original partition of...

We define a concept of share equilibrium for local public good (or club) economies where individual members of the population may have preferences over the membership of their jurisdiction. A share equilibrium specifies one share index for each individual. These indices determine each...