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Dynamic Directed Random Matching

Author

Listed:
  • Duffie, Darrell

    (Stanford University)

  • Qiao, Lei

    (Shanghai University of Finance and Economics)

  • Sun, Yeneng

    (National University of Singapore)

Abstract

We develop a general and unified model in which a continuum of agents conduct directed random searches for counterparties. Our results provide the first probabilistic foundation for static and dynamic models of directed search (including the matching-function approach) that are common in search-based models of financial markets, monetary theory, and labor economics. The agents' types are shown to be independent discrete-time Markov processes that incorporate the effects of random mutation, random matching with match-induced type changes, and with the potential for enduring partnerships that may have randomly timed break-ups. The multi-period cross-sectional distribution of types is shown to be deterministic and is calculated using the exact law of large numbers.

Suggested Citation

  • Duffie, Darrell & Qiao, Lei & Sun, Yeneng, 2017. "Dynamic Directed Random Matching," Research Papers repec:ecl:stabus:3359, Stanford University, Graduate School of Business.
    • Handle: RePEc:ecl:stabus:repec:ecl:stabus:3359
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    File URL: https://www.gsb.stanford.edu/gsb-cmis/gsb-cmis-download-auth/406756
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    Cited by:

    1. is not listed on IDEAS
    2. Nicole Immorlica & Brendan Lucier & Vahideh Manshadi & Alexander Wei, 2023. "Designing Approximately Optimal Search on Matching Platforms," Management Science, INFORMS, vol. 69(8), pages 4609-4626, August.
    3. Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis & Katharina Oberpriller, 2023. "Supplement Liquidity based modeling of asset price bubbles via random matching," Papers 2311.15793, arXiv.org.
    4. Yash Kanoria & Daniela Saban, 2021. "Facilitating the Search for Partners on Matching Platforms," Management Science, INFORMS, vol. 67(10), pages 5990-6029, October.
    5. Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis & Katharina Oberpriller, 2022. "Liquidity based modeling of asset price bubbles via random matching," Papers 2210.13804, arXiv.org, revised Nov 2022.
    6. Anderson, Robert M. & Duanmu, Haosui & Ghosh, Aniruddha & Khan, M. Ali, 2024. "On existence of Berk-Nash equilibria in misspecified Markov decision processes with infinite spaces," Journal of Economic Theory, Elsevier, vol. 217(C).
    7. Anderson, Robert M. & Duanmu, Haosui & Khan, M. Ali & Uyanik, Metin, 2022. "On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    8. Hernandez Senosiain, Patricio, 2022. "Why Do Men Keep Swiping Right? Two-Sided Search in Swipe-Based Dating Platforms," Warwick-Monash Economics Student Papers 37, Warwick Monash Economics Student Papers.

    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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