cannot include matchings that are not in the core. Moreover, we show that our main result is robust to many-to-one matching … stable when agents are farsighted in one-to-one matching problems. We provide the characterization of vNM farsightedly stable … sets: a set of matchings is a vNM farsightedly stable set if and only if it is a singleton subset of the core. Thus …

In this paper we investigate some new applications of Scarf's Lemma. First, we introduce the notion of fractional core … interpretation of these results for matching games. Finally we consider an even more general setting where players' contributions in … in many practical applications, such as NRMP (National Resident Matching Program). …

. The core predicts a unique and extreme outcome: the entire surplus is split evenly among the buyers when m > n and among … the sellers when m < n; the long side gets nothing. We test this core conjecture in the lab with n + m = 3 or 5 randomly … agreements while trading. Despite frequent attempts to collude and occasional large deviations from the core prediction, we find …

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a … incentive compatible core can be empty, even if utility functions are quasi-linear. If, in addition to quasi-linearity, further … assumptions are made (like independent private values), the non-emptiness of the core follows nevertheless from d?Aspremont and …

(weak) core, unlike in many-to-one matching markets (Blair, 1988). In this paper, we seek a theoretical foundation for …It is known that in two-sided many-to-many matching markets, pair-wise stability is not logically related with the …-partner matching problem that includes two-sided matching problems as special cases. Under the same preference restriction, we also …

Ostrovsky [10] develops a theory of stability for a model of matching in exogenously given networks. For this model a … core stability of chain stable networks, (iii) the efficiency of chain stable networks, (iv) the existence of a group … with the core are also characterized. …

We propose a dynamic model of decentralized many-to-one matching in the context of a competitive labor market. Through … are currently employed/unemployed. We show that such a process is absorbed into the core with probability one in finite … time. Moreover, within the core, allocations are selected that are characterized by surplus splitting according to a …

A coalitional matching is a two-sided matching problem in which agents on each side of the market may form coalitions … would like to learn from. In this setup, we examine how the existence of core stable partitions on the distinct market sides … respect common rankings shape the existence of core stable coalitional matchings. …