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Stability and Efficiency in Decentralized Two-Sided Markets with Weak Preferences

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  • Radoslav Raykov

Abstract

Many decentralized markets are able to attain a stable outcome despite the absence of a central authority (Roth and Vande Vate, 1990). A stable matching, however, need not be efficient if preferences are weak. This raises the question whether a decentralized market with weak preferences can attain Pareto efficiency in the absence of a central matchmaker. I show that when agent tastes are independent, the random stable match in a large-enough market is asymptotically Pareto efficient even with weak preferences. In fact, even moderate-sized markets can attain good efficiency levels. The average fraction of agents who can Pareto improve is below 10% in a market of size n = 79 when one side of the market has weak preferences; when both sides have weak preferences, the inefficiency falls below 10% for n > 158. This implies that approximate Pareto efficiency is attainable in a decentralized market even in the absence of a central matchmaker.

Suggested Citation

  • Radoslav Raykov, 2017. "Stability and Efficiency in Decentralized Two-Sided Markets with Weak Preferences," Staff Working Papers 17-4, Bank of Canada.
    • Handle: RePEc:bca:bocawp:17-4
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    References listed on IDEAS

    as
    1. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match," NBER Working Papers 14864, National Bureau of Economic Research, Inc.
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    6. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    7. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
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    More about this item

    Keywords

    Economic models;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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