Assignment Games with Externalities And Matching-Based Competition
AbstractWe 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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Bibliographic InfoPaper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse08_2013.
Date of creation: Oct 2013
Date of revision:
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Cooperative Games; Two-sided Matching; Assignment Games; Externalities; Transferable Utility; Cournot Competition;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- D47 - Microeconomics - - Market Structure and Pricing - - - Market Design
- D62 - Microeconomics - - Welfare Economics - - - Externalities
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-04 (All new papers)
- NEP-CBE-2013-06-04 (Cognitive & Behavioural Economics)
- NEP-EXP-2013-06-04 (Experimental Economics)
- NEP-PUB-2013-06-04 (Public Finance)
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