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Bilateral Matching and Bargaining with Private Information

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  • Adam Wong
  • Artyom Shneyerov

Abstract

We study a steady state of the market with inflowing cohorts of buyers and sellers. The traders are randomly matched pairwise driven by a Pissarides-style matching function. Two bargaining protocols are considered: random offering and the k-double auction. There are frictions due to time discounting and costly participation. We derive a necessary and sufficient condition for existence of equilibrium with trade. Two types of equilibria are shown to exist: those in which each meeting results in a trade, and those in which some meetings do not. If the random-offering protocol is used, all equilibria converge at the linear rate to the Walrasian outcome as the frictions vanish. Under the k-double auction protocol, however, there also non-convergent equilibria.

Suggested Citation

  • Adam Wong & Artyom Shneyerov, 2007. "Bilateral Matching and Bargaining with Private Information," 2007 Meeting Papers 1032, Society for Economic Dynamics.
    • Handle: RePEc:red:sed007:1032
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    Citations

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    Cited by:

    1. Dipjyoti Majumdar & Artyom Shneyerov & Huan Xie, 2010. "How Optimism Leads to Price Discovery and Efficiency in a Dynamic Matching Market," Working Papers 10004, Concordia University, Department of Economics.
    2. Arnold Polanski & Fernando Vega-Redondo, 2013. "Markets, Bargaining, and Networks with Heterogeneous Agents," University of East Anglia Applied and Financial Economics Working Paper Series 038, School of Economics, University of East Anglia, Norwich, UK..
    3. Yujing Xu, 2022. "Unobservable investments, trade efficiency and search frictions," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(2), pages 764-799, May.
    4. Stephan Lauermann, 2008. "When Less Information is Good for Efficiency: Private Information in Bilateral Trade and in Markets," 2008 Meeting Papers 419, Society for Economic Dynamics.
    5. Andras Niedermayer & Artyom Shneyerov, 2014. "For‐Profit Search Platforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(3), pages 765-789, August.
    6. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    7. Niedermayer, Andras & Shneyerov, Artyom, 2013. "For-Profit Search Platforms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 436, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. Satterthwaite, Mark & Shneyerov, Artyom, 2008. "Convergence to perfect competition of a dynamic matching and bargaining market with two-sided incomplete information and exogenous exit rate," Games and Economic Behavior, Elsevier, vol. 63(2), pages 435-467, July.
    9. Dimitris Zissis & George Ioannou & Apostolos Burnetas, 2020. "Coordinating Lot Sizing Decisions Under Bilateral Information Asymmetry," Production and Operations Management, Production and Operations Management Society, vol. 29(2), pages 371-387, February.
    10. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "The Rate of Convergence to Perfect Competition of a Simple Matching and Bargaining Mechanism," Microeconomics.ca working papers shneyerov-07-05-01-03-43-, Vancouver School of Economics, revised 01 May 2007.
    11. Shneyerov, Artyom & Wong, Adam Chi Leung, 2011. "The role of private information in dynamic matching and bargaining: Can it be good for efficiency?," Economics Letters, Elsevier, vol. 112(1), pages 128-131, July.
    12. Shneyerov, Artyom & Wong, Adam Chi Leung, 2010. "The rate of convergence to perfect competition of matching and bargaining mechanisms," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1164-1187, May.
    13. Yujing Xu, 2022. "Unobservable investments, trade efficiency and search frictions," Post-Print hal-03848827, HAL.
    14. Shneyerov, Artyom & Wong, Adam C.L., 2020. "Price discovery in a matching and bargaining market with aggregate uncertainty," Games and Economic Behavior, Elsevier, vol. 124(C), pages 183-206.
    15. Lauermann, Stephan, 2012. "Asymmetric information in bilateral trade and in markets: An inversion result," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1969-1997.
    16. Dimitris Zissis, 2023. "Information sharing through digitalisation in decentralised supply chains," Annals of Operations Research, Springer, vol. 327(2), pages 763-778, August.
    17. Stephan Lauermann, 2008. "Price Setting in a Decentralized Market and the Competitive Outcome," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_06, Max Planck Institute for Research on Collective Goods.
    18. Cho, In-Koo & Matsui, Akihiko, 2017. "Foundation of competitive equilibrium with non-transferable utility," Journal of Economic Theory, Elsevier, vol. 170(C), pages 227-265.
    19. Artyom Shneyerov & Andras Niedermayer, 2011. "Search Brokers," 2011 Meeting Papers 89, Society for Economic Dynamics.
    20. Shneyerov, Artyom, 2014. "A Walrasian Rubinstein and Wolinsky model," Economics Letters, Elsevier, vol. 124(2), pages 314-317.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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