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Dynamic Common Agency

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  • Dirk Bergemann
  • Juuso Valimaki

Abstract

We consider a general model of dynamic common agency with symmetric information. We focus on Markov perfect equilibria and characterize theequilibrium set for a refinement of the Markov perfect equilibria. Particular attention is given to the existence of a marginal contribution equilibrium where each principal receives her contribution to the coalition of agent and remaining principals. The structure of the intertemporal payoffs is analyzed in terms of the flow marginal contribution. As a by-product, new results for the static common agency game are obtained. The general characterization results are then applied to two dynamic bidding games for a common agent: (i ) multi-task allocation and (ii ) job matching under uncertainty.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1259.

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Date of creation: Nov 1998
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Handle: RePEc:nwu:cmsems:1259

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Web page: http://www.kellogg.northwestern.edu/research/math/
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Related research

Keywords: Common agency; dynamic bidding; marginal contribution; markov perfect equilibrium; coalition-proof equilibrium; job matching; multi-task allocation;

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  1. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February.
  2. Avinash Dixit, 1996. "Special-Interest Lobbying and Endogenous Commodity Taxation," Eastern Economic Journal, Eastern Economic Association, vol. 22(4), pages 375-388, Fall.
  3. Laussel, Didier & Le Breton, Michel, 2001. "Conflict and Cooperation: The Structure of Equilibrium Payoffs in Common Agency," Journal of Economic Theory, Elsevier, vol. 100(1), pages 93-128, September.
  4. Grossman, Gene & Helpman, Elhanan, 1993. "Trade Wars and Trade Talks," CEPR Discussion Papers 806, C.E.P.R. Discussion Papers.
  5. Bergemann, Dirk & Valimaki, Juuso, 1996. "Learning and Strategic Pricing," Econometrica, Econometric Society, vol. 64(5), pages 1125-49, September.
  6. Laussel, Didier & Le Breton, Michel, 1996. "Complements and substitutes in common agency," Ricerche Economiche, Elsevier, vol. 50(4), pages 325-345, December.
  7. Martimort, David, 1994. "Exclusive Dealing, Common Agency and Multiprincipals Incentive Theory," IDEI Working Papers 43, Institut d'Économie Industrielle (IDEI), Toulouse, revised 1996.
  8. Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
  9. Aghion, Philippe & Bolton, Patrick, 1987. "Contracts as a Barrier to Entry," American Economic Review, American Economic Association, vol. 77(3), pages 388-401, June.
  10. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
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