In this paper we present a generalization of the concept of balanced game for finite games. Balanced games are those having a nonempty core, and this core is usually considered as the solution of the game. Based on the concept of $k$-additivity, we define the so-called $k$-balanced games and the...

The core of a game v on N, which is the set of additive games φ dominating v such that φ(N)=v(N), is a central notion in cooperative game theory, decision making and in combinatorics, where it is related to submodular functions, matroids and the greedy algorithm. In many cases however, the...

This note proposes an example which contradicts the idea that similar countries will negotiate an agreement on a uniform standard. It shows that strictly identical countries may have an interest in reducing their emissions differently, and not in a uniform way. This result relies on the...

We prove the existence of subsidy free and sustainable pricing schedule in multiproduct contestable markets. We allow firms to discriminate the local markets that are composed by a set of the products line and a set of agents. Results are obtained under an assumption of fair sharing cost and...

This paper analyses a transboundary pollution problem between two countries and studies the efficiency comparison of uniform versus differentiated abatement standards when there are imperfect transferts between countries. To achieve this goal, we use a negotiation game and the Nash bargaining...

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games whose core is equal to the core of the combined game. On the other hand, for...