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Strategic complementarity in multi-stage games

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Author Info
Vives, Xavier () (IESE Business School)

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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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Publisher 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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  1. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!]
  4. Cooper, Russell W. & Johri, Alok, 1997. "Dynamic complementarities: A quantitative analysis," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 97-119, September. [Downloadable!] (restricted)
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  5. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
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  6. Beggs, Alan & Klemperer, Paul, 1990. "Multi-Period Competition with Switching Costs," CEPR Discussion Papers 436, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  7. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August. [Downloadable!] (restricted)
  8. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June. [Downloadable!] (restricted)
  9. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February. [Downloadable!] (restricted)
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  10. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321. [Downloadable!] (restricted)
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  11. Paul Heidhues & Nicolas Melissas, 2006. "Equilibria in a dynamic global game: the role of cohort effects," Economic Theory, Springer, vol. 28(3), pages 531-557, 08. [Downloadable!] (restricted)
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  12. 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. [Downloadable!] (restricted)
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  13. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December. [Downloadable!] (restricted)
  14. Dasgupta, Partha & Stiglitz, Joseph E, 1988. "Learning-by-Doing, Market Structure and Industrial and Trade Policies," Oxford Economic Papers, Oxford University Press, vol. 40(2), pages 246-68, June. [Downloadable!] (restricted)
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  15. 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. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
  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. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141. [Downloadable!] (restricted)
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  20. Echenique, Federico, 2004. "Extensive-form games and strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 348-364, February. [Downloadable!] (restricted)
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  21. Vives, Xavier, 1990. "Information and competitive advantage," International Journal of Industrial Organization, Elsevier, vol. 8(1), pages 17-35. [Downloadable!] (restricted)
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