We design a simple protocol of coalition formation. A society grows up by sequentially incorporating new members. The negotiations are always bilateral. We study this protocol in the context of non-transferable utility (NTU) games in characteristic function form. When the corresponding NTU game...

In a series of papers, Aumann and Roth discussed a game in which players can cooperate in pairs and two of them prefer to form a coalition with each other. Roth argued that the only rational outcome is that the players who prefer each other form a coalition; Aumann argued that all three...

This article proposes a methodology to attack the problem of considering the bargaining agenda as an endogenous phenomenon to the problem of gradual bargaining recognizing such problems as path-dependent processes. Main results of short, medium and long term in the bargaining are presented, as...

We implement the levels structure value (Winter, 1989) for cooperative transfer utility games with a levels structure. The mechanism is a generalization of the bidding mechanism by Perez-Castrillo and Wettstein (2001).

In this paper we characterize the set of rules satisfying additivity on the estate along with additivity on the estate and the claims in bankruptcy problems and other related problems. Moreover, new characterizations of the well known rules based on the principles of "equal award", "equal loss",...

We introduce a new value for NTU games with coalition structure. This value coincides with the consistent value for trivial coalition structures, and with the Owen value for TU games with coalition structure. Furthermore, we present two characterizations: the first one using a consistency...

We introduce a non-cooperative model of bargaining when players are divided into coalitions. The model is a modification of the mechanism in Vidal-Puga (Economic Theory, 2005) so that all the players have the same chances to make proposals. This means that players maintain their own 'right to...

The mechanism by Hart and Mas-Colell (1996) for NTU games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for TU games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games...