arXiv 17 May 2018 · Econometrics
arXiv:1805.06687 · PDF · DOI · OpenAlex · Extracted main text
Some aspects of the problem of stable marriage are discussed. There are two distinguished marriage plans: the fully transferable case, where money can be transferred between the participants, and the fully non transferable case where each participant has its own rigid preference list regarding the other gender. We continue to discuss intermediate partial transferable cases. Partial transferable plans can be approached as either special cases of cooperative games using the notion of a core, or as a generalization of the cyclical monotonicity property of the fully transferable case (fake promises). We shall introduced these two approaches, and prove the existence of stable marriage for the fully transferable and non-transferable plans.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Gale, D and L.S. Shapley: College Admissions and the Stability of Ma… (1962) | 0.644 | 2 | 2 | 100% |
| 2 | Becker, G. S. A Theory of Marriage: Part I, Journal of Political Eco… (1973) | 0.405 | 1 | 1 | 100% |
| 3 | Becker, G. S. A Treatise on the Family, Harvard University Press (1991) | 0.405 | 1 | 1 | 100% |
| 4 | Bresis, H: Remarks on the Monge-Kantorovich problem in the discrete… (2018) | 0.405 | 1 | 1 | 100% |
| 5 | Dubins L.E and Freedman D.: Machiavelli and the Gale Shaply Algorith… (1981) | 0.405 | 1 | 1 | 100% |
| 6 | Choo, E., and A. Siow: Who Marries Whom and Why, Journal of Politica… (2006) | 0.405 | 1 | 1 | 100% |
| 7 | Galichon, Alfred, Scott D.K and Weber S, Costly Concessions: An Empi… (2016) | 0.405 | 1 | 1 | 100% |
| 8 | Galichon, A: Optimal Transport Methods in Economics, Princeton Unive… (2016) | 0.405 | 1 | 1 | 100% |
| 9 | Gilles, R.P: The Cooperative Game Theory of Networks and Hierarchies… (2010) | 0.405 | 1 | 1 | 100% |
| 10 | Kantorovich, L: On the translocation of masses., C.R. (Doklady) Acad… (1942) | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 20 scored citations.