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On the game-theoretic foundations of competitive search equilibrium

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  • Galenianos, Manolis
  • Kircher, Philipp

Abstract

We provide a unified directed search framework with general production and matching specifications that encompass most of the existing literature. We prove the existence of subgame perfect Nash equilibria in pure firm strategies in a finite version of the model. We use this result to derive a more complete characterization of the equilibrium set for the finite economy and to extend convergence results as the economy becomes large to general production and matching specifications. The latter extends the microfoundations for the standard market utility assumption used in competitive search models with a continuum of agents to new environments.

Suggested Citation

  • Galenianos, Manolis & Kircher, Philipp, 2012. "On the game-theoretic foundations of competitive search equilibrium," LSE Research Online Documents on Economics 29707, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:29707
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    File URL: http://eprints.lse.ac.uk/29707/
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    References listed on IDEAS

    as
    1. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
    2. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    3. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    4. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 869-891.
    5. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    6. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    7. Albrecht, James & Tan, Serene & Gautier, Pieter & Vroman, Susan, 2004. "Matching with multiple applications revisited," Economics Letters, Elsevier, vol. 84(3), pages 311-314, September.
    8. Ronald Wolthoff, 2010. "Applications and Interviews: A Structural Analysis of Two-Sided Simultaneous Search," 2010 Meeting Papers 114, Society for Economic Dynamics.
    9. Michael Peters, 1997. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The Case of Complete Contracts," Review of Economic Studies, Oxford University Press, vol. 64(2), pages 241-264.
    10. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    11. Espen R. Moen & Åsa Rosén, 2011. "Incentives in Competitive Search Equilibrium," Review of Economic Studies, Oxford University Press, vol. 78(2), pages 733-761.
    12. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
    13. Gabriele Camera & Cemil Selcuk, 2009. "Price Dispersion with Directed Search," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1193-1224, December.
    14. Faig Miquel & Jerez Belén, 2006. "Inflation, Prices, and Information in Competitive Search," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-34, September.
    15. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    16. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    17. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October.
    18. Geromichalos, Athanasios, 2012. "Directed search and optimal production," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2303-2331.
    19. Benoît Julien & John Kennes & Ian King, 2005. "Ex post bidding and efficient coordination unemployment," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 174-193, February.
    20. Peters, Michael, 2005. "Unobservable Heterogeneity in Directed Search," Microeconomics.ca working papers peters-05-06-13-01-50-30, Vancouver School of Economics, revised 16 Oct 2009.
    21. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    22. Jacquet, Nicolas L. & Tan, Serene, 2012. "Wage-vacancy contracts and coordination frictions," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1064-1104.
    23. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    24. Ping He & Lixin Huang & Randall Wright, 2005. "Money And Banking In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 637-670, May.
    25. Moen, Espen R & Rosén, Åsa, 2006. "Incentives in Competitive Search Equilibrium and Wage Rigidity," CEPR Discussion Papers 5554, C.E.P.R. Discussion Papers.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    2. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2015. "Meeting technologies and optimal trading mechanisms in competitive search markets," Journal of Economic Theory, Elsevier, vol. 155(C), pages 1-15.
    3. Gene M. Grossman & Elhanan Helpman & Philipp Kircher, 2013. "Matching and Sorting in a Global Economy," NBER Working Papers 19513, National Bureau of Economic Research, Inc.
    4. Selcuk, Cemil & Gokpinar, Bilal, 2017. "Fixed vs. Flexible Pricing in a Competitive Market," Cardiff Economics Working Papers E2017/9, Cardiff University, Cardiff Business School, Economics Section.
    5. Mikhail Golosov & Pricila Maziero & Guido Menzio, 2013. "Taxation and Redistribution of Residual Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1160-1204.
    6. Kim, Jaehong & Camera, Gabriele, 2014. "Uniqueness of equilibrium in directed search models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 248-267.
    7. Matthew Doyle & Jacob Wong, 2013. "Wage Posting Without Full Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 231-252, April.
    8. Manolis Galenianos & Philipp Kircher & Gábor Virág, 2011. "Market Power And Efficiency In A Search Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 85-103, February.
    9. Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2014. "Monetary Equilibria with Indivisible Goods," Working Papers 201428, University of Hawaii at Manoa, Department of Economics.
    10. repec:eee:gamebe:v:103:y:2017:i:c:p:262-285 is not listed on IDEAS
    11. Forand, Jean Guillaume, 2013. "Competing through information provision," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 438-451.
    12. James Bland, Simon Loertscher, 2012. "Monotonicity, Non-Participation, and Directed Search Equilibria," Department of Economics - Working Papers Series 1147, The University of Melbourne.
    13. Gomis-Porqueras, Pedro & Julien, Benoit & Chengsi, Wang, 2012. "Informative Advertising in Directed Search," MPRA Paper 38057, University Library of Munich, Germany.
    14. repec:eee:jetheo:v:172:y:2017:i:c:p:376-409 is not listed on IDEAS
    15. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    16. Bi, Sheng & Langot, François, 2014. "Search and Retirement under Asymmetric Information," IZA Discussion Papers 8288, Institute for the Study of Labor (IZA).

    More about this item

    JEL classification:

    • J0 - Labor and Demographic Economics - - General
    • J6 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers
    • J63 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Turnover; Vacancies; Layoffs

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