An Experimental Study of Decentralized Matching
Abstract: We present an experimental study of decentralized two-sided matching markets with no transfers. Experimental participants are informed of everyone's preferences and can make arbitrary non-binding match offers that get finalized when a period of market inactivity has elapsed. Several insights emerge. First, stable outcomes are prevalent. Second, while centralized clearinghouses commonly aim at implementing extremal stable matchings, our decentralized markets most frequently culminate in the median stable matching. Third, preferences' cardinal representations impact the stable partners participants match with. Last, the dynamics underlying our results exhibit strategic sophistication, with agents successfully avoiding cycles of blocking pairs.
- Ackermann, H., P. W. Goldberg, V. S. Mirrokni, H. Röglin, and B. Vöcking (2011): “Uncoordinated two-sided matching markets,” SIAM Journal on Computing, 40, 92–106.
- Agranov, M., A. Dianat, L. Samuelson, and L. Yariv (2023): “Paying to Match: Decentralized Markets with Information Frictions,” mimeo.
- Baccara, M. and L. Yariv (2023): “Dynamic matching,” Online and Matching-Based Market Design.
- Bergstrom, C. T., T. C. Bergstrom, and R. J. Garratt (2013): “Choosing partners: A classroom experiment,” The Journal of Economic Education, 44, 47–57.
- Chen, Y. and T. Sönmez (2006): “School choice: an experimental study,” Journal of Economic Theory, 127, 202–231.
- Cheng, C. T. (2008): “The generalized median stable matchings: finding them is not that easy,” in Latin American Symposium on Theoretical Informatics, Springer, 568–579.
- Dworczak, P. (2021): “Deferred Acceptance with Compensation Chains,” Operations Research, 69, 456–468.
- Echenique, F., A. J. Wilson, and L. Yariv (2016): “Clearinghouses for two-sided matching: An experimental study,” Quantitative Economics, 7, 449–482.
- Featherstone, C. R., E. Mayefsky, and C. D. Sullivan (2022): “Why do some clearinghouses yield stable outcomes? Experimental evidence on out-of-equilibrium truth-telling,” mimeo.
- Featherstone, C. R. and M. Niederle (2016): “Boston versus deferred acceptance in an interim setting: An experimental investigation,” Games and Economic Behavior, 100, 353–375.
- Fehr, E. and S. Gächter (2000): “Fairness and retaliation: The economics of reciprocity,” Journal of Economic Perspectives, 14, 159–181.
- Ferdowsian, A., M. Niederle, and L. Yariv (2023): “Strategic Decentralized Matching: The Effects of Information Frictions,” mimeo.
- Gale, D. and L. S. Shapley (1962): “College admissions and the stability of marriage,” The American Mathematical Monthly, 69, 9–15.
- Haeringer, G. and M. Wooders (2011): “Decentralized job matching,” International Journal of Game Theory, 40, 1–28.
- Hakimov, R. and D. Kübler (2021): “Experiments on centralized school choice and college admissions: a survey,” Experimental Economics, 24, 434–488.
- Harrison, G. W. and K. A. McCabe (1996): “Expectations and fairness in a simple bargaining experiment,” International Journal of Game Theory, 25, 303–327.
- Haruvy, E. and M. U. Ünver (2007): “Equilibrium selection and the role of information in repeated matching markets,” Economics Letters, 94, 284–289.
- Hitsch, G. J., A. Hortaçsu, and D. Ariely (2010): “Matching and Sorting in Online Dating,” American Economic Review, 100, 130–63.
- Irving, R. W. and P. Leather (1986): “The complexity of counting stable marriages,” SIAM Journal on Computing, 15, 655–667.
- ——— (2000): “The dynamics of reorganization in matching markets: A laboratory experiment motivated by a natural experiment,” The Quarterly Journal of Economics, 115, 201–235.
- Nalbantian, H. R. and A. Schotter (1995): “Matching and efficiency in the baseball free-agent system: an experimental examination,” Journal of Labor Economics, 13, 1–31.
- Niederle, M. and A. E. Roth (2009): “Market culture: How rules governing exploding offers affect market performance,” American Economic Journal: Microeconomics, 1, 199–219.
- Pais, J. (2008): “Incentives in decentralized random matching markets,” Games and Economic Behavior, 64, 632–649.
- Pais, J. and Á. Pintér (2008): “School choice and information: An experimental study on matching mechanisms,” Games and Economic Behavior, 64, 303–328.
- Pais, J., A. Pintér, and R. F. Veszteg (2020): “Decentralized matching markets with(out) frictions: a laboratory experiment,” Experimental Economics, 23, 212–239.
- Plott, C. R. and V. L. Smith (1978): “An experimental examination of two exchange institutions,” The Review of Economic Studies, 45, 133–153.
- Roth, A. and X. Xing (1997): “Turnaround Time and Bottlenecks in Market Clearing: Decentralized Matching in the Market for Clinical Psychologists,” Journal of Political Economy, 105, 284–329.
- Roth, A. E. (1984): “Misrepresentation and stability in the marriage problem,” Journal of Economic Theory, 34, 383–387.
- Roth, A. E. and E. Peranson (1999): “The redesign of the matching market for American physicians: Some engineering aspects of economic design,” American Economic Review, 89, 748–780.
- Roth, A. E. and J. H. V. Vate (1990): “Random paths to stability in two-sided matching,” Econometrica, 1475–1480.
- Rudov, K. (2022): “Fragile Stable Matchings,” mimeo.
- Smith, V. L. (1962): “An experimental study of competitive market behavior,” Journal of Political Economy, 70, 111–137.
- Teo, C.-P., J. Sethuraman, and W.-P. Tan (2001): “Gale-shapley stable marriage problem revisited: Strategic issues and applications,” Management Science, 47, 1252–1267.
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