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Paths to Stability in Two-sided Matching with Uncertainty

Author

Listed:
  • Emiliya Lazarova

    (Department of Economics, University of Birmingham, United Kingdom)

  • Dinko Dimitrov

    (Chair of Economic Theory, Saarland University, Germany)

Abstract

We consider one-to-one matching problems under two modalities of uncertainty that differ in the way types are assigned to agents. Individuals have preferences over the possible types of the agents from the opposite market side and initially know the “name” but not the ”type” of the other players. Learning occurs via matching and using Bayes’ rule. We introduce the notion of a stable and consistent outcome, and show how the interaction between blocking and learning behavior shapes the existence of paths to stability in each of the uncertainty environments. Existence of stable and consistent outcomes then follows as a side result.

Suggested Citation

  • Emiliya Lazarova & Dinko Dimitrov, 2013. "Paths to Stability in Two-sided Matching with Uncertainty," Working Papers 2013.02, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2013.02
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    References listed on IDEAS

    as
    1. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
    2. Bo Chen & Satoru Fujishige & Zaifu Yang, 2010. "Decentralized Market Processes to Stable Job Matchings with Competitive Salaries," KIER Working Papers 749, Kyoto University, Institute of Economic Research.
    3. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2012. "Matching with Incomplete Information," PIER Working Paper Archive 12-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
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    Cited by:

    1. Bikhchandani, Sushil, 2017. "Stability with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 168(C), pages 372-399.

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    More about this item

    Keywords

    Consistent Outcomes; One-to-One Uncertainty; Many-to-One Uncertainty; Paths to Stability; Two-Sided Matching;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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