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shown that (i) the set of stable matchings is a lattice under the common revealed preference orderings of all agents on the … same side, (ii) the supremum (infimum) operation of the lattice for each side consists componentwise of the join (meet …) operation in the revealed preference ordering of the agents on that side, and (iii) the lattice has the polarity, distributivity …
Persistent link: https://www.econbiz.de/10005147314
In order to treat a natural schedule matching problem related with worker-firm matchings, we generalize some theorems of Baiou--Balinski and Alkan--Gale by applying a fixed point method of Fleiner.
Persistent link: https://www.econbiz.de/10008552108
We show that, given two matchings for a room-mates problem of which say the second is stable, and given a non-empty subset of agents S if (a) no agent in S prefers the first matching to the second, and (b) no agent in S and his room-mate in S under the second matching prefer each other to their...
Persistent link: https://www.econbiz.de/10011325151
The paper studies two games of capacity manipulation in hospital-intern markets. The focus is on the stability of Nash equilibrium outcomes. We provide minimal necessary and sufficient conditions guaranteeing the existence of pure strategy Nash Equilibria and the stability of outcomes.
Persistent link: https://www.econbiz.de/10005094057
We show that, given two matchings for a room-mates problem of which say the second is stable, and given a non-empty subset of agents S if (a) no agent in S prefers the first matching to the second, and (b) no agent in S and his room-mate in S under the second matching prefer each other to their...
Persistent link: https://www.econbiz.de/10005423271
We show that, given two matchings for a room-mates problem of which say the second is stable, and given a non-empty subset of agents S if (a) no agent in S prefers the first matching to the second, and (b) no agent in S and his room-mate in S under the second matching prefer each other to their...
Persistent link: https://www.econbiz.de/10011593838
consequence of the above results we show that the class of modular games is a set of generators of the distributive lattice of all …
Persistent link: https://www.econbiz.de/10005138819
We develop observable restrictions of well-known theories of bargaining over money. We suppose that we observe a finite data set of bargaining outcomes, including data on allocations and disagreement points, but no information on utility functions. We ask when a given theory could generate the...
Persistent link: https://www.econbiz.de/10011599507
We develop observable restrictions of well-known theories of bargaining over money. We suppose that we observe a finite data set of bargaining outcomes, including data on allocations and disagreement points, but no information on utility functions. We ask when a given theory could generate the...
Persistent link: https://www.econbiz.de/10011684957
We investigate the testable implications of the theory of stable matchings. We provide a characterization of the data that are rationalizable as a stable matching when agents' preferences are unobserved. The characterization is a simple nonparametric test for stability, in the tradition of...
Persistent link: https://www.econbiz.de/10014189213