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Endogenous Heterogeneity in Strategic Models: Symmetry-breaking via Strategic Substitutes and Nonconcavities

  • Rabah Amir
  • Filomena Garcia
  • Malgorzata Knauff

This paper is an attempt to develop a unified approach to endogenous heterogeneity by constructing general class of two-player symmetric games that always possess only asymmetric pure-strategy Nash equilibria. These classes of games are characterized in some abstract sense by two general properties: payo? non-concavities and some form of strategic substitutability. We provide a detailed discussion of the relationship of this work with Matsuyama’s symmetry breaking framework and with business strategy literature. Our framework generalizes a number of models dealing with two-stage games, with long term investment decisions in the first stage and product market competition in the second stage. We present the main examples that motivate this study to illustrate the generality of our approach.

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File URL: http://pascal.iseg.utl.pt/~depeco/wp/wp292006.pdf
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Paper provided by ISEG - School of Economics and Management, Department of Economics, University of Lisbon in its series Working Papers Department of Economics with number 2006/29.

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Date of creation: 2006
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Handle: RePEc:ise:isegwp:wp292006
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Department of Economics, ISEG - School of Economics and Management, University of Lisbon, Rua do Quelhas 6, 1200-781 LISBON, PORTUGAL

Web page: https://aquila1.iseg.ulisboa.pt/aquila/departamentos/EC

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  1. Rabah Amir & John Wooders, 1999. "Effects of One-Way Spillovers on Market Shares, Industry Price, Welfare, and R & D Cooperation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(2), pages 223-249, 06.
  2. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Mintz, Jack & Tulkens, Henry, 1986. "Commodity tax competition between member states of a federation: equilibrium and efficiency," Journal of Public Economics, Elsevier, vol. 29(2), pages 133-172, March.
  4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  5. Reynolds, Stanley S. & Wilson, Bart J., 2000. "Bertrand-Edgeworth Competition, Demand Uncertainty, and Asymmetric Outcomes," Journal of Economic Theory, Elsevier, vol. 92(1), pages 122-141, May.
  6. Echenique, Federico, 2004. "A characterization of strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
  7. Kiminori Matsuyama, 2004. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," Econometrica, Econometric Society, vol. 72(3), pages 853-884, 05.
  8. Mills, David E. & Smith, William, 1996. "It pays to be different: Endogenous heterogeneity of firms in an oligopoly," International Journal of Industrial Organization, Elsevier, vol. 14(3), pages 317-329, May.
  9. Boyer, Marcel & Moreaux, Michel, 1996. "Capacity Commitment versus Flexibility," IDEI Working Papers 63, Institut d'Économie Industrielle (IDEI), Toulouse.
  10. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," Review of Economic Studies, Oxford University Press, vol. 49(1), pages 3-13.
  11. Ngo Van Long & Antoine Soubeyran, 1999. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," CIRANO Working Papers 99s-13, CIRANO.
  12. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  13. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
  14. Rabah Amir, 2000. "R&D Returns, Market Structure, and Research Joint Ventures," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 156(4), pages 583-, December.
  15. G. Urga & P. A. Geroski & S. Lazarova & C. F. Walters, 2003. "Are differences in firm size transitory or permanent?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 47-59.
  16. Amir, Rabah & Wooders, John, 2000. "One-Way Spillovers, Endogenous Innovator/Imitator Roles, and Research Joint Ventures," Games and Economic Behavior, Elsevier, vol. 31(1), pages 1-25, April.
  17. Benjamin E. Hermalin., 1992. "Heterogeneity in Organizational Form: Why Otherwise Identical Firms Choose Different Incentives for Their Managers," Economics Working Papers 92-193, University of California at Berkeley.
  18. Greg Shaffer & Stephen W. Salant, 1999. "Unequal Treatment of Identical Agents in Cournot Equilibrium," American Economic Review, American Economic Association, vol. 89(3), pages 585-604, June.
  19. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-58, March.
  20. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
  21. Aoki, Reiko & Prusa, Thomas J., 1997. "Sequential versus simultaneous choice with endogenous quality," International Journal of Industrial Organization, Elsevier, vol. 15(1), pages 103-121, February.
  22. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-31, June.
  23. Echenique, Federico & Edlin, Aaron S., 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Department of Economics, Working Paper Series qt26r9r912, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  24. Kevin M. Murphy & Andrei Shleifer & Robert W. Vishny, 1988. "Industrialization and the Big Push," NBER Working Papers 2708, National Bureau of Economic Research, Inc.
  25. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  26. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 441-463.
  27. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  28. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  29. Cox, James C. & Walker, Mark, 1998. "Learning to play Cournot duopoly strategies," Journal of Economic Behavior & Organization, Elsevier, vol. 36(2), pages 141-161, August.
  30. Kiminori Matsuyama, 2000. "Endogenous Inequality," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 743-759.
  31. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
  32. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
  33. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May.
  34. Ulrich Doraszelski & Mark Satterthwaite, 2004. "Foundations of Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity," 2004 Meeting Papers 189, Society for Economic Dynamics.
  35. Kiminori Matsuyama, 2002. "Explaining Diversity: Symmetry-Breaking in Complementarity Games," Discussion Papers 1336, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  36. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967, June.
  37. Roller, Lars-Hendrik & Sinclair-Desgagne, Bernard, 1996. "On the heterogeneity of firms," European Economic Review, Elsevier, vol. 40(3-5), pages 531-539, April.
  38. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
  39. Ireland, Norman J, 1993. "The Provision of Information in a Bertrand Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 41(1), pages 61-76, March.
  40. S. Baranzoni & P. Bianchi & L. Lambertini, 2000. "Multiproduct Firms, Product Differentiation, and Market Structure," Working Papers 368, Dipartimento Scienze Economiche, Universita' di Bologna.
  41. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521570176, June.
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