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Strategic complementarity in multi-stage games

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  • Vives, Xavier

    ()
    (IESE Business School)

Abstract

We provide sufficient conditions in finite-horizon multi-stage games for the value function of each player, associated to extremal Markov perfect equilibria, to display strategic complementarities and for the contemporaneous equilibrium to be increasing in the state variables.

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Bibliographic Info

Paper provided by IESE Business School in its series IESE Research Papers with number D/619.

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Length: 27 pages
Date of creation: 21 Mar 2006
Date of revision:
Handle: RePEc:ebg:iesewp:d-0619

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Postal: IESE Business School, Av Pearson 21, 08034 Barcelona, SPAIN
Web page: http://www.iese.edu/
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Related research

Keywords: Markov game; supermodularity; two-stage game; adjustment costs; learning curve; network effects;

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References

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  1. Paul Heidhues & Nicolas Melissas, 2003. "Equilibria in a Dynamic Global Game: The Role of Cohort Effects," CIG Working Papers SP II 2003-08, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  2. Federico Echenique, 2000. "Extensive Form Games and Strategic Complementarities," Levine's Working Paper Archive 7553, David K. Levine.
  3. Cooper, Russell W. & Johri, Alok, 1997. "Dynamic complementarities: A quantitative analysis," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 97-119, September.
  4. AMIR , Rabah, 1995. "Continuous Stochastic Games of Capital Accumulation with Convex Transition," CORE Discussion Papers 1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Vives, Xavier, 1990. "Information and competitive advantage," International Journal of Industrial Organization, Elsevier, vol. 8(1), pages 17-35.
  6. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February.
  7. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  8. Drew Fudenberg & Jean Tirole, 1983. "Learning-by-Doing and Market Performance," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 522-530, Autumn.
  9. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  10. Mertens, Jean-Francois, 2002. "Stochastic games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 47, pages 1809-1832 Elsevier.
  11. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  12. Baldursson, Fridrik M & von der Fehr, Nils-Henrik M, 2004. "A Whiter Shade of Pale: on the Political Economy of Regulatory Instruments," Memorandum 29/2004, Oslo University, Department of Economics.
  13. Dasgupta, Partha & Stiglitz, Joseph E, 1985. "Learning-by-doing, Market Structure and Industrial and Trade Policies," CEPR Discussion Papers 80, C.E.P.R. Discussion Papers.
  14. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
  15. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-41, August.
  16. Amir, Rabah & Wooders, John, 1997. "One-Way Spillovers, Endogenous Innovator/Imitator Roles and Research Joint Ventures," Economics Series 43, Institute for Advanced Studies.
  17. Beggs, Alan & Klemperer, Paul, 1990. "Multi-Period Competition with Switching Costs," CEPR Discussion Papers 436, C.E.P.R. Discussion Papers.
  18. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
  19. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June.
  20. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  21. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
  22. Kydland, Finn, 1975. "Noncooperative and Dominant Player Solutions in Discrete Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 321-35, June.
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Cited by:
  1. Jakub Steiner & Laurent Mathevet, 2012. "Sand in the Wheels: A Dynamic Global-Game Approach," 2012 Meeting Papers 123, Society for Economic Dynamics.
  2. Mathevet, Laurent & Steiner, Jakub, 2013. "Tractable dynamic global games and applications," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2583-2619.
  3. Ruiz-Aliseda, Francisco, 2009. "Misinformative advertising," IESE Research Papers D/809, IESE Business School.

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