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

Listed author(s):
  • 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
Handle: RePEc:ise:isegwp:wp292006
Contact details of provider: Postal:
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. David Besanko & Ulrich Doraszelski, 2002. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," Computing in Economics and Finance 2002 196, Society for Computational Economics.
  2. Geroski, Paul A & Samiei, Hossein & Urga, Giovanni, 1997. "Are Differences in Firm Size Transitory or Permanent?," CEPR Discussion Papers 1691, C.E.P.R. Discussion Papers.
  3. 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 583-583, December.
  4. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521570176, December.
  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. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  7. Ulrich Doraszelski & Mark Satterthwaite, 2004. "Foundations of Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity," 2004 Meeting Papers 189, Society for Economic Dynamics.
  8. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
  9. Kiminori Matsuyama, 2000. "Endogenous Inequality," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 743-759.
  10. Long, Ngo Van & Soubeyran, Antoine, 2001. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 505-533, May.
  11. 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.
  12. 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.
  13. Federico Echenique., 2001. "A Characterization of Strategic Complementarities," Economics Working Papers E01-299, University of California at Berkeley.
  14. Kiminori Matsuyama, 2004. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," Econometrica, Econometric Society, vol. 72(3), pages 853-884, 05.
  15. 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.
  16. Kiminori Matsuyama, 2002. "Explaining Diversity: Symmetry-Breaking in Complementarity Games," American Economic Review, American Economic Association, vol. 92(2), pages 241-246, May.
  17. Hermalin, Benjamin E., 1992. "Heterogeneity in Organizational Form: Why Otherwise Identical Firms Choose Different Incentives for Their Managers," Department of Economics, Working Paper Series qt4v4548gz, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  18. 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.
  19. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," Review of Economic Studies, Oxford University Press, vol. 49(1), pages 3-13.
  20. Kevin M. Murphy & Andrei Shleifer & Robert W. Vishny, 1988. "Industrialization and the Big Push," NBER Working Papers 2708, National Bureau of Economic Research, Inc.
  21. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
  22. 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.
  23. Roller, Lars-Hendrik & Sinclair-Desgagne, Bernard, 1996. "On the heterogeneity of firms," European Economic Review, Elsevier, vol. 40(3-5), pages 531-539, April.
  24. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967, December.
  25. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
  26. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
  27. 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.
  28. 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.
  29. 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.
  30. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
  31. 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.
  32. Echenique, Federico & Edlin, Aaron, 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Department of Economics, Working Paper Series qt1gr638d8, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  33. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  34. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  35. Marcel Boyer & Michel Moreaux, 1997. "Capacity Commitment versus Flexibility," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 347-376, 06.
  36. 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.
  37. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
  38. 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.
  39. S. Baranzoni & P. Bianchi & L. Lambertini, 2000. "Multiproduct Firms, Product Differentiation, and Market Structure," Working Papers 368, Dipartimento Scienze Economiche, Universita' di Bologna.
  40. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-258, March.
  41. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
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