IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v104y2017icp59-77.html
   My bibliography  Save this article

Bargaining in dynamic markets

Author

Listed:
  • Manea, Mihai

Abstract

We study non-stationary markets in which traders are randomly matched to bargain over the price of a heterogeneous good or the terms of a partnership. The economy consists of a continuum of players drawn from a finite set of types. Players exogenously enter the market over time and exit upon trading. At every date, matching probabilities for each pair of types are determined by the endogenous distribution of trader types in the market. The balance of bargaining power at any stage depends on variations in potential gains from trade, the inflows of new traders, the structure of agreements at future dates, and the induced frequency of trading opportunities. We establish that an equilibrium always exists. Moreover, all equilibria that lead to the same evolution of the economy are payoff equivalent. However, we show that multiple self-fulfilling expectations about the trajectory of the economy, generating distinct equilibrium dynamics and payoffs, may coexist.

Suggested Citation

  • Manea, Mihai, 2017. "Bargaining in dynamic markets," Games and Economic Behavior, Elsevier, vol. 104(C), pages 59-77.
  • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:59-77
    DOI: 10.1016/j.geb.2017.02.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617300404
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2017.02.014?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Diamond, P. A. & Maskin, Eric, 1981. "An equilibrium analysis of search and breach of contract II. A non-steady state example," Journal of Economic Theory, Elsevier, vol. 25(2), pages 165-195, October.
    2. 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.
    3. Peter A. Diamond & Eric Maskin, 1979. "An Equilibrium Analysis of Search and Breach of Contract, I: Steady States," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 282-316, Spring.
    4. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    5. Lauermann, Stephan & Nöldeke, Georg, 2015. "Existence of steady-state equilibria in matching models with search frictions," Economics Letters, Elsevier, vol. 131(C), pages 1-4.
    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. Eeckhout, Jan, 1999. "Bilateral Search and Vertical Heterogeneity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 869-887, November.
    8. Kunimoto, Takashi & Serrano, Roberto, 2004. "Bargaining and competition revisited," Journal of Economic Theory, Elsevier, vol. 115(1), pages 78-88, March.
    9. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20, World Scientific Publishing Co. Pte. Ltd..
    10. 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.
    11. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    12. Nir Dagan & Roberto Serrano & Oscar Volij, 2000. "Bargaining, coalitions and competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 279-296, March.
    13. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    14. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    15. Alos-Ferrer, Carlos, 1999. "Dynamical Systems with a Continuum of Randomly Matched Agents," Journal of Economic Theory, Elsevier, vol. 86(2), pages 245-267, June.
    16. K. G. Binmore & M. J. Herrero, 1988. "Security Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 33-48.
    17. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
    18. Alp E. Atakan, 2006. "Assortative Matching with Explicit Search Costs," Econometrica, Econometric Society, vol. 74(3), pages 667-680, May.
    19. Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
    20. Nöldeke, Georg & Tröger, Thomas, 2009. "Matching Heterogeneous Agents with a Linear Search Technology," Bonn Econ Discussion Papers 1/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    21. Manea, Mihai, 2017. "Steady states in matching and bargaining," Journal of Economic Theory, Elsevier, vol. 167(C), pages 206-228.
    22. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
    23. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-818, July.
    24. Ken Burdett & Melvyn G. Coles, 1997. "Marriage and Class," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 141-168.
    25. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    26. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, October.
    27. K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 17-31.
    28. Abreu, Dilip & Manea, Mihai, 2012. "Markov equilibria in a model of bargaining in networks," Games and Economic Behavior, Elsevier, vol. 75(1), pages 1-16.
    29. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jan Cervenka, 2019. "Bargaining Power: Significance, Structure and Development," ACTA VSFS, University of Finance and Administration, vol. 13(1), pages 79-93.
    2. Arnaud Zlatko Dragicevic, 2022. "Exchange Networks with Stochastic Matching," Games, MDPI, vol. 14(1), pages 1-18, December.
    3. Giovannetti, Andrea, 2021. "The anatomy of buyer–seller dynamics in decentralized markets," International Review of Financial Analysis, Elsevier, vol. 77(C).
    4. Dilmé, Francesc, 2023. "Bargaining in small dynamic markets," Journal of Economic Theory, Elsevier, vol. 207(C).
    5. Talamàs, Eduard, 2019. "Price dispersion in stationary networked markets," Games and Economic Behavior, Elsevier, vol. 115(C), pages 247-264.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Manea, Mihai, 2017. "Steady states in matching and bargaining," Journal of Economic Theory, Elsevier, vol. 167(C), pages 206-228.
    2. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    3. Dilmé, Francesc, 2023. "Bargaining in small dynamic markets," Journal of Economic Theory, Elsevier, vol. 207(C).
    4. Calvo-Armengol, Antoni, 2003. "A decentralized market with trading links," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 83-103, February.
    5. 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.
    6. 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.
    7. 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.
    8. Gale, Douglas & Sabourian, Hamid, 2006. "Markov equilibria in dynamic matching and bargaining games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 336-352, February.
    9. Stephan Lauermann & Georg Nöldeke & Thomas Tröger, 2020. "The Balance Condition in Search‐and‐Matching Models," Econometrica, Econometric Society, vol. 88(2), pages 595-618, March.
    10. Lauermann, Stephan & Nöldeke, Georg, 2014. "Stable marriages and search frictions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 163-195.
    11. Christian Korth, 2009. "Fairness, Price Stickiness, and History Dependence in Decentralized Trade," Lecture Notes in Economics and Mathematical Systems, in: Fairness in Bargaining and Markets, chapter 0, pages 81-101, Springer.
    12. Michael Choi & Guillaume Rocheteau, 2024. "Information acquisition and price discrimination in dynamic, decentralized markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 53, pages 1-46, July.
    13. Jean Guillaume Forand & Vikram Maheshri, 2012. "(De)Regulation and Market Thickness," Working Papers 1202, University of Waterloo, Department of Economics, revised Oct 2012.
    14. Majumdar, Dipjyoti & Shneyerov, Art & Xie, Huan, 2010. "How Optimism Leads to Price Discovery and Efficiency in a Dynamic Matching Market," Microeconomics.ca working papers artyom_shneyerov-2010-32, Vancouver School of Economics, revised 26 Oct 2010.
    15. Talamàs, Eduard, 2019. "Price dispersion in stationary networked markets," Games and Economic Behavior, Elsevier, vol. 115(C), pages 247-264.
    16. Penta, Antonio, 2011. "Multilateral bargaining and Walrasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 417-424.
    17. Daughety, Andrew F. & Reinganum, Jennifer F., 1994. "Settlement negotiations with two-sided asymmetric information: Model duality, information distribution, and efficiency," International Review of Law and Economics, Elsevier, vol. 14(3), pages 283-298, September.
    18. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    19. Bester, Helmut, 2024. "Fairness and competition in a bilateral matching market," Games and Economic Behavior, Elsevier, vol. 146(C), pages 121-136.
    20. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.

    More about this item

    Keywords

    Bargaining; Decentralized non-stationary markets; Random matching; Equilibrium existence; Multiplicity; Iterated conditional dominance;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:59-77. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.