A cooperative game with non-transferable utility (NTU-game) consists of a collection of payoffsets for the subsets of a nite set of players, for which it has to be determined how much payof each player must receive. The core of an NTU-game consists of all payoffvectors that are in the payoff set...

The Shapley value for directed graph (digraph) games, TU games with limited cooperation introduced by an arbitrary digraph prescribing the dominance relation among the players, is introduced. It is defined as the average of marginal contribution vectors corresponding to all permutations that do...

In the literature, various models of games with restricted cooperation can be found. In those models, instead of allowing for all subsets of the set of players to form, it is assumed that the set of feasible coalitions is a subset of the power set of the set of players. In this paper, we...

We introduce a solution concept for cooperative games with transferable utility and a coalition structure that is proportional for two-player games. Our value is obtained from generalizing a proportional value for cooperative games with transferable utility (Ortmann <CitationRef CitationID="CR8">2000</CitationRef>) in a way that parallels...</citationref>

In this paper we shall present the voting procedure with rotation scheme used by the Governing Council of the European Central Bank as it enlarges to accommodate new members of the economic and monetary union. The main game theoretical approaches were presented in Sosnowska, 2013. That paper...

We study values for transferable utility games enriched by a communication graph (CO-games) where the graph does not necessarily a¤ect the productivity but can in?uence the way the players distribute the worth generated by the grand coalition. Thus, we can envisage values that are efficient...

Assuming a ‘spectrum’ or ordering of the players of a coalitional game, as in a political spectrum in a parliamentary situation, we consider a variation of the Shapley value in which coalitions may only be formed if they are connected with respect to the spectrum. This results in a naturally...

We test the empirical effectiveness of two theoretical proposals to equilibrate bargaining power in bilateral bargaining. Our experimental design is based on the two-player versions of the multibidding game (Pérez-Castrillo & Wettstein, 2001) and the bid-and-propose game (Navarro & Perea,...

In this paper, we use a biform-game approach for analyzing the impact of surplus division in supply chains on investment incentives. In the first stage of the game, firms decide non-cooperatively on investments. In the second stage, the surplus is shared according to the Shapley value. We find...

Interior operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of interior operator games. The antimatroid is a known combinatorial structure which represents, in the game...