We study comparative statics of manipulations by women in the men-proposing deferred acceptance mechanism in the two-sided one-to-one marriage market. We prove that if a group of women weakly successfully manipulates or employs truncation strategies, then all other women weakly benefit and all men are weakly harmed. We show that these results do not appropriately generalize to the many-to-one college admissions model.
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Crawford VP (1991) Comparative statics in matching markets. J Econ Theory 54(1): 389–400
Dubins LE, Freedman DA (1981) Machiavelli and the Gale-Shapley algorithm. American Mathematical Monthly 88(7): 485–494
Gale D, Shapley LS (1962) College admissions and the stability of marriage. Am Math Monthly 69(1): 9–15
Knuth DE (1976) Mariages stables. Les Presses de l’Université de Montréal, Montréal
Kojima F, Pathak PA (2009) Incentives and stability in large two-sided matching markets. Am Econ Rev 99(3): 608–627
Ma J (2010) The Singleton core in the college admissions problem and its application to the National Resident Matching Program (NRMP). Games Econ Behav 69(1): 150–164
Mongell S, Roth AE (1991) Sorority rush as a two-sided matching mechanism. Am Econ Rev 81(3): 441–464
Roth AE (1982) The economics of matching: stability and incentives. Math Oper Res 7(4): 617–628
Roth AE (1984a) Stability and polarization of interests in job matching. Econometrica 52(1): 47–58
Roth AE (1984b) Mispresentation and stability in the marriage problem. J Econ Theory 34(2): 383–387
Roth AE (1985a) The college admission problem is not equivalent to the marriage problem. J Econ Theory 36(2): 277–288
Roth AE (1985b) Conflict and coincidence of interest in job matching: some new results and open questions. Math Oper Res 10(3): 379–389
Roth AE (2008) Deferred acceptance algorithms: history, theory, practice, and open questions. Int J Game Theory 36(3): 537–569
Roth AE., Sotomayor MAO (1989) The college admissions problem revisited. Econometrica 57(3): 559–570
Roth AE, Sotomayor MAO (1990) Two-sided matching: a study in game-theoretic modeling and analysis, Econometric Society Monograph Series. Cambridge University Press, New York
Roth AE, Vande Vate JH (1991) Incentives in two-sided matching with random stable mechanisms. Econ Theory 1(1): 31–44
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Ashlagi, I., Klijn, F. Manipulability in matching markets: conflict and coincidence of interests. Soc Choice Welf 39, 23–33 (2012). https://doi.org/10.1007/s00355-011-0549-y
- Marriage Market
- Stable Match
- College Admission
- True Preference
- Truncation Strategy