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Dynamic Multilateral Markets

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  • Polanski, Arnold
  • Lazarova, Emiliya A.

Abstract

We study dynamic multilateral markets, in which players’ payoffs result from coalitional bargaining. In this setting, we establish payoff uniqueness of the stationary equilibria when players exhibit some degree of impatience. We focus on market games with different player types, and derive under mild conditions an explicit formula for each type’s equilibrium payoff as market frictions vanish. The limit payoff of a type depends in an intuitive way on the supply and the demand for this type in the market, adjusted by the type-specific bargaining power. Our framework may be viewed as an alternative to the Walrasian price-setting mechanism. When we apply this methodology to the analysis of labor markets, we can determine endogenously the equilibrium firm size and remuneration scheme. We find that each worker type in a stationary market equilibrium is rewarded her marginal product, i.e. we obtain a strategic underpinning of the neoclassical wage. Interestingly, we can also replicate some standardized facts from the search-theoretical literature such as positive equilibrium unemployment.

Suggested Citation

  • Polanski, Arnold & Lazarova, Emiliya A., 2011. "Dynamic Multilateral Markets," Climate Change and Sustainable Development 108255, Fondazione Eni Enrico Mattei (FEEM).
  • Handle: RePEc:ags:feemcl:108255
    DOI: 10.22004/ag.econ.108255
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    References listed on IDEAS

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    1. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Huibin Yan, 2009. "Uniqueness In Random-Proposer Multilateral Bargaining," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 407-417.
    4. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Harsanyi Values of Large Economies: Nonequivalence to Competitive Equilibria," Games and Economic Behavior, Elsevier, vol. 13(1), pages 74-99, March.
    5. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    6. Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
    7. Huibin Yan, 2003. "Noncooperative selection of the core," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 527-540, September.
    8. Yashiv, Eran, 2007. "Labor search and matching in macroeconomics," European Economic Review, Elsevier, vol. 51(8), pages 1859-1895, November.
    9. Darrell Duffie, 2012. "Over-The-Counter Markets," Introductory Chapters, in: Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets, Princeton University Press.
    10. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 63-78.
    11. Chen-Ying Huang, 2002. "Multilateral bargaining: conditional and unconditional offers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 401-412.
    12. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
    13. Westermark, Andreas, 2003. "Bargaining, binding contracts, and competitive wages," Games and Economic Behavior, Elsevier, vol. 43(2), pages 296-311, May.
    14. Jan-Peter Siedlarek, 2012. "Intermediation in Networks," Working Papers 2012.42, Fondazione Eni Enrico Mattei.
    15. Alain Delacroix, 2003. "Heterogeneous Matching with Transferable Utility: Two Labor Market Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 313-330, February.
    16. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    17. John Sutton, 1986. "Non-Cooperative Bargaining Theory: An Introduction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 709-724.
    18. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    19. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    20. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 375-410.
    21. 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..
    22. Kalyan Chatterjee & Hamid Sabourian, 2000. "Multiperson Bargaining and Strategic Complexity," Econometrica, Econometric Society, vol. 68(6), pages 1491-1510, November.
    23. 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.
    24. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
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    Cited by:

    1. Matt Elliott & Francesco Nava, 2015. "Decentralized Bargaining: Efficiency and the Core," STICERD - Theoretical Economics Paper Series /2015/567, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Elliott, M. & Nava, F., 2017. "Decentralized Bargaining in Matching Markets: Efficient Stationary Equilibria and the Core," Cambridge Working Papers in Economics 1742, Faculty of Economics, University of Cambridge.
    3. Elliott, Matthew L. & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," Theoretical Economics, Econometric Society, vol. 14(1), January.
    4. Jan-Peter Siedlarek, 2012. "Intermediation in Networks," Working Papers 2012.42, Fondazione Eni Enrico Mattei.
    5. Elif Özcan-Tok, 2020. "Bargaining on supply chain networks with heterogeneous valuations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 506-525, July.
    6. 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..
    7. Elliott, Matt & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," LSE Research Online Documents on Economics 87219, London School of Economics and Political Science, LSE Library.

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    More about this item

    Keywords

    Environmental Economics and Policy;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General
    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General

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