This paper discusses the core of the game corresponding to the standard fixed tree problem. We consider the weighted … adaptation of the constrained egalitarian solution of Dutta and Ray (1989). The core of the standard fixed tree game equals the …

In the context of coalition formation games a player evaluates a partition on the basis of the set she belongs to. For … the most preferred member of a set, it is shown that a strict core partition always exists if the original preferences are … strict and a simple algorithm for the computation of one strict core partition is derived. This algorithm turns out to be …

In this paper, we introduce a natural learning rule for mean field games with finite state and action space, the so …

In this paper, we introduce a natural learning rule for mean field games with finite state and action space, the so …

In this paper we consider cooperative games in which the possibilities for cooperation between the players are … account. We study inheritance of the following properties: average convexity, inclusion of the Shapley value in the core …

This paper examines the -core of strategic games by means of the consistency principle. I provide a new definition of a …*) under this definition of reduced games. Then I axiomatize the -core for families of strategic games with bounded payoff … reduced game for strategic games. And I define consistency (CONS) and two forms of converse consistency (COCONS and COCONS …

First, we suggest and discuss second-order versions of properties for solutions for TU games used to characterize the … Banzhaf value, in particular, of standardness for two-player games, of the dummy player property, and of 2-efficiency. Then …-order standardness for two-player games or the second-order dummy player property] and 2-efficiency, (ii) standardness for one …