We extend Aumann's theorem [Aumann 1987], deriving correlated equilibria as a consequence of common priors and common knowledge of rationality, by explicitly allowing for non-rational behavior. We replace the assumption of common knowledge of rationality with a substantially weaker one, joint...

For each assignment market, an associated bargaining problem is defined and some bargaining solutions to this problem are analyzed. For a particular choice of the disagreement point, the Nash solution and the Kalai-Smorodinsky solution coincide and give the midpoint between the buyers-optimal...

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate...

We introduce a subclass of multi-sided assignment games that embodies markets with different types of firms that produce different types of homogeneous goods. These markets generalize bilateral Bohm-Bawerk horse markets. We describe the geometric and algebraic structure of the core, which is...

We provide a different axiomatization of the core interpreted as a reasonable set (Milnor, 1952) and introduce a new property, called max-intersection, related with the vector lattice structure of cooperative games with transferable utility. In particular, it is shown that the core is the only...

This paper deals with the strong constrained egalitarian solution introduced by Dutta and Ray (1991). We show that this solution yields the weak constrained egalitarian allocations (Dutta and Ray, 1989) associated to a finite family of convex games. This relationship makes it possible to define...

We show that for any roommate market the set of stochastically stable matchings coincides with the set of absorbing matchings. This implies that whenever the core is non-empty (e.g., for marriage markets), a matching is in the core if and only if it is stochastically stable, i.e., stochastic...

Equivalence classes of normal form games are defined using the discontinuities of correspondences of standard equilibrium concepts like correlated, Nash, and robust equilibrium, or risk dominance and rationalizability. Resulting equivalence classes are fully characterized and compared across...

In this paper, we suggest a simple sequential mechanism whose subgame perfect equilibria give rise to efficient networks. Moreover, the payoffs received by the agents coincide with their Shapley value in an appropriately defined cooperative game.