On the uniqueness of stable marriage matchings

@article{Eeckhout2000OnTU,
  title={On the uniqueness of stable marriage matchings},
  author={Jan Eeckhout},
  journal={Economics Letters},
  year={2000},
  volume={69},
  pages={1-8}
}
  • J. Eeckhout
  • Published 1 October 2000
  • Economics
  • Economics Letters
Abstract A sufficient condition for uniqueness is identified on the preferences in the marriage problem, i.e. two-sided one-to-one matching with non transferable utility. For small economies this condition is also necessary. This class of preferences is broad and they are of particular relevance in economic applications. 
Uniqueness of Equilibrium in Two-sided Matching
This paper analyses a sufficient condition for uniqueness of equilibrium in two-sided matching with non-transferable utility. The condition is easy to interpret, being based on the notion that a
A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem
The paper develops a new extension of the sequential preference condition, which leads to unique stable matching in all subpopulations, obtained by consistent restrictions of the marriage matching
A Note on the Uniqueness of Stable Marriage Matching
TLDR
Some sufficient conditions are presented for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size and the result on the existence of exactly two stable matchings in the marriage problem of odd size with the same conditions is state.
Co-Ranking Mates: Assortative Matching in Marriage Markets
We show that co-ranking is the necessary and sufficient condition for assortative matching with strictly nontransferable utility. This condition is equivalent to the GID condition in Legros and
Male optimality and uniqueness in stable marriage problems with partial orders
TLDR
An algorithm is given to find a stable marriage that is male optimal, and a sufficient condition on the preferences, which guarantees the uniqueness of stable marriages.
The Uniqueness of Stable Matchings
This paper analyses conditions on agents' preferences for a unique stable matching in models of two-sided matching with non-transferable utility. The No Crossing Condition (NCC) is sufficient for
Explorer The Uniqueness of Stable Matchings
This paper analyses conditions on agents’ preferences for a unique stable matching in models of two-sided matching with non-transferable utility. The No Crossing Condition (NCC) is sufficient for
Stable marriages and search frictions
TLDR
This work embeds a two-sided matching market with non-transferable utility, a marriage market, into a random search model and shows that vanishing frictions do not guarantee the eciency of decentralized marriage markets.
A finite decentralized marriage market with bilateral search
  • Qinggong Wu
  • Economics, Computer Science
    J. Econ. Theory
  • 2015
TLDR
Whether equilibrium marriage outcomes are stable matchings when search frictions are small can but need not be, and a condition is identified under which all equilibria are outcome equivalent, stable, and efficient.
Acyclicity and Singleton Cores in Matching Markets
The absence of simultaneous cycles is a sufficient condition for the existence of singleton cores. Acyclicity in the preferences of either side of the market is a minimal condition that guarantees
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 14 REFERENCES
Marriage and Class
Here we consider a matching model where agents are heterogeneous and utilities nontransferable. We utilize this framework to study how equilibrium sorting takes place in marriage markets. We impose
The Marriage Model with Search Frictions
Consider a heterogeneous agent matching model in which the payoff of each matched individual is a fixed function of both partners' types. In a 1973 article, Becker showed that assortative matching
On the Existence of Stable Roommate Matchings
  • Kim-Sau Chung
  • Mathematics, Computer Science
    Games Econ. Behav.
  • 2000
TLDR
It is shown that the process of allowing randomly chosen blocking pairs to match converges to a stable roommate matching with probability one as long as there are no odd rings.
Bilateral Search and Vertical Heterogeneity
The Two-Sided Perfect Matching model is generalised to an Imperfect Matching model with search frictions. A search model is proposed which is characterised by bilateral search and vertical
College Admissions and the Stability of Marriage
A procedure for assigning applicants to colleges which removes all uncertainties and, assuming there are enough applicants, assigns to each college precisely its quota.
Two-sided search
We integrate search theory into an equilibrium framework in a new way and argue that the result is a simple but powerful tool for understanding many issues related to bilateral matching. We assume
Social Norms, Savings Behavior, and Growth
We argue that many goods and decisions are not allocated or made through markets. We interpret an agent's status as a ranking device that determines how well he or she fares in the nonmarket sector.
Two-Sided Search with Nontransferable Utility☆☆☆
We analyze a two-sided search model in which we assume utility is not perfectly transferable. Except for this assumption the model is standard, yet it generates results that are quite different from
A Model of Exchange where Beauty is in the Eye of the Beholder
I explore the search-constrained exchange paradigm where traders difier stochastically in their consumption-valuations of any given good, and all goods are ‘durable’. Individuals expect to engage in
On Money as a Medium of Exchange
We analyze economies in which individuals specialize in consumption and production and meet randomly over time in a way that implies that trade must be bilateral and quid pro quo. Nash equilibria in
...
1
2
...