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Price discovery in a matching and bargaining market with aggregate uncertainty

Author

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  • Shneyerov, Artyom
  • Wong, Adam C.L.

Abstract

We introduce aggregate uncertainty into a Rubinstein and Wolinsky (1985)-type dynamic matching and bilateral bargaining model. The market can be either in a high state, where there are more buyers than sellers, or in a low state, where there are more sellers than buyers. Traders do not know the state. They randomly meet each other and bargain by making take-it-or-leave-it offers. The only information transmitted in a meeting is the time a trader spent on the market. There are two kinds of search frictions: time discounting and exogenous exit. We find that as the search frictions vanish, the market discovers the competitive price quickly: the prices offered in equilibrium converge in expectation to the true-state Walrasian price at the rate linear in the total search friction. This rate is the same as it would be if the state were commonly known.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:gamebe:v:124:y:2020:i:c:p:183-206
    DOI: 10.1016/j.geb.2020.08.006
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    References listed on IDEAS

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    1. Stephan Lauermann & Wolfram Merzyn & Gábor Virág, 2018. "Learning and Price Discovery in a Search Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(2), pages 1159-1192.
    2. Mark Satterthwaite & Artyom Shneyerov, 2007. "Dynamic Matching, Two-Sided Incomplete Information, and Participation Costs: Existence and Convergence to Perfect Competition," Econometrica, Econometric Society, vol. 75(1), pages 155-200, January.
    3. Shneyerov, Artyom & Wong, Adam Chi Leung, 2010. "Bilateral matching and bargaining with private information," Games and Economic Behavior, Elsevier, vol. 68(2), pages 748-762, March.
    4. Serrano, Roberto, 2002. "Decentralized information and the Walrasian outcome: a pairwise meetings market with private values," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 65-89, September.
    5. Darrell Duffie & Semyon Malamud & Gustavo Manso, 2009. "Information Percolation With Equilibrium Search Dynamics," Econometrica, Econometric Society, vol. 77(5), pages 1513-1574, September.
    6. 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.
    7. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    8. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
    9. Max R. Blouin & Roberto Serrano, 2001. "A Decentralized Market with Common Values Uncertainty: Non-Steady States," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 323-346.
    10. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    11. 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.
    12. Darrell Duffie & Gustavo Manso, 2007. "Information Percolation in Large Markets," American Economic Review, American Economic Association, vol. 97(2), pages 203-209, May.
    13. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    14. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    15. 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.
    16. Asher Wolinsky, 1988. "Dynamic Markets with Competitive Bidding," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 71-84.
    17. Dipjyoti Majumdar & Artyom Shneyerov & Huan Xie, 2016. "An optimistic search equilibrium," Review of Economic Design, Springer;Society for Economic Design, vol. 20(2), pages 89-114, June.
    18. 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.
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    More about this item

    Keywords

    Dynamic matching and bargaining; Convergence to perfect competition; Aggregate uncertainty;
    All these keywords.

    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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