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Dynamic multilateral markets

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  • Arnold Polanski
  • Emiliya Lazarova

Abstract

We study dynamic multilateral markets, in which players’ payoffs result from intra-coalitional bargaining. The latter is modeled as the ultimatum game with exogenous (time-invariant) recognition probabilities and unanimity acceptance rule. Players in agreeing coalitions leave the market and are replaced by their replicas, which keeps the pool of market participants constant over time. In this infinite game, we establish payoff uniqueness of stationary equilibria and the emergence of endogenous cooperation structures when traders experience some degree of (heterogeneous) bargaining frictions. When we focus on market games with different player types, we derive, under mild conditions, an explicit formula for each type’s equilibrium payoff as the market frictions vanish. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Arnold Polanski & Emiliya Lazarova, 2015. "Dynamic multilateral markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 815-833, November.
  • Handle: RePEc:spr:jogath:v:44:y:2015:i:4:p:815-833
    DOI: 10.1007/s00182-014-0455-5
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    Citations

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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, Matthew L. & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," Theoretical Economics, Econometric Society, vol. 14(1), January.
    3. 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.
    4. 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..
    5. 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.
    6. 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.
    7. Siedlarek, Jan-Peter, 2012. "Intermediation in Networks," Climate Change and Sustainable Development 128710, Fondazione Eni Enrico Mattei (FEEM).

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    More about this item

    Keywords

    Multilateral bargaining; Dynamic markets; Partitioning equilibrium; Labor markets; C72; C78; J30;
    All these keywords.

    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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