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Assignment Games with Externalities And Matching-Based Competition

  • Bo Chen

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    We develop a model of assignment games with pairwise-identity-dependent externalities. A concept of conjectural equilibrium is proposed, and the universal conjecture is shown to be the necessary and sufficient condition for the general existence of equilibrium. We then apply the solution concept to a matching-based Cournot model in which the unit production cost of a firm depends on both the technology of the firm and the human capital of the manager hired, and show that if technology and human capital are complementary, the positive assortative matching (PAM) is a stable matching under rational expectations, or even if firm technology and human capital are substitutable yet the substitutive effect is dominated by the marginal effects of technology and human capital, the PAM is still a rational stable matching.However, if the substitutive effect on the unit production cost is sufficiently strong or the market demand is sufficiently high, the negative assortative matching is a rational stable matching.

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    File URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonedp/bgse08_2013.pdf
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    Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse08_2013.

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    Length: 40
    Date of creation: Oct 2013
    Date of revision:
    Handle: RePEc:bon:bonedp:bgse08_2013
    Contact details of provider: Postal:
    Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany

    Fax: +49 228 73 6884
    Web page: http://www.bgse.uni-bonn.de

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    1. Dutta, B. & Masso, J., 1996. "Stability of Matchings when Individuals Have Preferences Over Colleagues," UFAE and IAE Working Papers 325.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    2. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
    3. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring.
    4. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, 07.
    5. Federico Echenique & Mehmet B. Yenmez, 2005. "A Solution to Matching with Preferences over Colleagues," Working Papers 2005.120, Fondazione Eni Enrico Mattei.
    6. Ismail Saglam & Ayse Mumcu, 2007. "The core of a housing market with externalities," Economics Bulletin, AccessEcon, vol. 3(57), pages 1-5.
    7. James A. Brander & Barbara J. Spencer, 1984. "Export Subsidies and International Market Share Rivalry," NBER Working Papers 1464, National Bureau of Economic Research, Inc.
    8. Gudmundsson, Jens & Habis, Helga, 2013. "Assignment Games with Externalities," Working Papers 2013:27, Lund University, Department of Economics.
    9. Mariagiovanna Baccara & Ayse Imrohoroglu & Alistair Wilson & Leeat Yariv, 2009. "A Field Study on Matching with Network Externalities," Working Papers 09-13, New York University, Leonard N. Stern School of Business, Department of Economics.
    10. Shapley, Lloyd S & Shubik, Martin, 1969. "On the Core of an Economic System with Externalities," American Economic Review, American Economic Association, vol. 59(4), pages 678-84, Part I Se.
    11. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
    12. Ayse Mumcu & Ismail Saglam, 2008. "Characterizing Stable One-to-One Matchings under Interdependent Preferences," Working Papers 0806, TOBB University of Economics and Technology, Department of Economics.
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