The Nash program is an important research agenda initiated in Nash (Econometrica 21:128-140, 1953) in order to bridge the gap between the noncooperative and cooperative counterparts of game theory. The program is thus turning sixty-seven years old, but I will argue it is not ready for...

Gale and Shapley (1962) proposed that there is a similar game to the marriage problem called "the roommate problem". And, they showed that unlike the marriage problem, the roommate problem may have unstable solutions. In other words, the stability theorem fails for the roommate problem. In this...

We know from Gale and Shapley (1962) that every Two-Sided Matching Game has a stable solution. It is also well-known that the number of stable matchings increases with the number of agents on both sides. In this paper, we propose two mechanisms, one of which is a variant of the other, to the...

We study decentralized task coordination. Tasks are of varying complexity and agents asymmetric: agents capable of completing high-level tasks may also take on tasks originally contracted by lower-level agents, facilitating system-wide cost reductions. We suggest a family of decentralized...

We consider the problem where agents bargain over their shares of a perfectly divisible commodity. The aim of this paper is to identify the class of bargaining solutions induced by dominant strategy implementable allocation rules. To this end, we characterize the class of dominant strategy...

We study assignment problems with externalities where agents have expectations about the reactions of other agents to group deviations. We present notions of core consistent with such expectations and identify the largest and smallest cores. We restrict the domain of preferences to study the...

This paper studies the incentive compatibility of solutions to generalized indivisible good allocation problems introduced by S¨onmez (1999), which contain the well-known marriage problems (Gale and Shapley, 1962) and the housing markets (Shapley and Scarf, 1974) as special cases. In...

Yu and Zhang (2020) propose a job rotation model to study rotation schemes thatwidely exist in real life. In the model agents' rights to consume own endowmentsare restricted, but their rights to trade endowments are unrestricted. This poses aninteresting contrast with the housing market model of...

This paper studies the incentive compatibility of solutions to generalized indivisible good allocation problems introduced by Sonmez (1999), which contain the well-known marriage problems (Gale and Shapley, 1962) and the housing markets (Shapley and Scarf, 1974) as special cases. In particular,...

We study coalition formation problems with general externalities. We prove that if expectations are not prudent a stable coalitions structure can fail to exist. Under prudent expectations a stable coalition structure exists if the set of admissible coalitions is single-lapping. This assumption...