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 …

existence of equilibrium. We then apply the solution concept to a matching-based Cournot model in which the unit production cost … technology and human capital are complementary, the positive assortative matching (PAM) is a stable matching under rational … marginal effects of technology and human capital, the PAM is still a rational stable matching. However, if the substitutive …

when agents are farsighted in one-to-one matching problems. We provide the characterization of von Neumann … set and its element is a corewise stable matching. Thus, contrary to the von Neumann-Morgenstern (myopically) stable sets … show that our main result is robust to many- to-one matching problems with responsive preferences …

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 … von Neumann-Morgenstern farsightedly stable if and only if the matching is stable (Theorem 1). We also present roommate …

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 …

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). …

Decentralized matching markets on the internet allow large numbers of agents to interact anonymously at virtually no … sell-side). This simple and intuitive learning process implements core allocations even though agents have no knowledge of …

in many practical applications, such as NRMP (National Resident Matching Program). -- Scarf lemma ; core ; stable …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 …

We study a special three-sided matching game, the so-called supplier-firm-buyer game, in which buyers (customers) and …-firm-buyer games have non-empty core. We show that for these games the core coincides with the classical bargaining set (Davis and …