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Endogenous Stackelberg leadership

  • Eric van Damme
  • Sjaak Hurkens

We consider a linear quantity setting duopoly game and analyze which of the players will commit when both players have the possibility to do so. To that end, we study a 2-stage game in which each player can either commit to a quantity in stage 1 or wait till stage 2. We show that committing is more risky for the high cost firm and that, consequently, risk dominance considerations, as in Harsanyi and Selten (1988), allow the conclusion that only the low cost firm will choose to commit. Hence, the low cost firm will emerge as the endogenous Stackelberg leader.

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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 190.

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Date of creation: Nov 1996
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Handle: RePEc:upf:upfgen:190
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  1. Hamilton, J.H. & Slutsky, S.M., 1988. "Endogenous Timing In Duopoly Games: Stackelberg Or Cournot Equilibria," Papers 88-4, Florida - College of Business Administration.
  2. Sadanand, Asha & Sadanand, Venkatraman, 1996. "Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility," Journal of Economic Theory, Elsevier, vol. 70(2), pages 516-530, August.
  3. Eric van Damme & Sjaak Hurkens, 1998. "Endogenous price leadership," Economics Working Papers 289, Department of Economics and Business, Universitat Pompeu Fabra.
  4. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, June.
  5. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
  6. Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
  7. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
  8. Ellingsen, Tore, 1994. "On Flexibility in Oligopoly," SSE/EFI Working Paper Series in Economics and Finance 21, Stockholm School of Economics.
  9. Spencer, Barbara J. & Brander, James A., 1992. "Pre-commitment and flexibility : Applications to oligopoly theory," European Economic Review, Elsevier, vol. 36(8), pages 1601-1626, December.
  10. Sadanand, V. & Green, E.J., 1991. "Firm Scale and the Endogenous Timing of Entry : A Choice Between Commitment and Flexibility," Working Papers 1991-11, University of Guelph, Department of Economics and Finance.
  11. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
  12. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
  13. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
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