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Strategic complementarity in multi-stage games

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  • Xavier Vives

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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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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 40 (2009)
Issue (Month): 1 (July)
Pages: 151-171

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Handle: RePEc:spr:joecth:v:40:y:2009:i:1:p:151-171

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Related research

Keywords: Markov game; Supermodularity; Two-stage game; Linear-quadatric game; Adjustment costs; Learning curve; Network effects; C73;

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References

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  1. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February.
  2. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  3. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June.
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  6. Paul Heidhues & Nicolas Melissas, 2003. "Equilibria in a Dynamic Global Game: The Role of Cohort Effects," CIG Working Papers, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG) SP II 2003-08, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  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.
  8. Vives, X., 1988. "Information And Competitive Advantage," UFAE and IAE Working Papers 100-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  9. 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.
  10. Russell Cooper & Alok Johri, 1996. "Dynamic Complementarities: A Quantitative Analysis," NBER Working Papers 5691, National Bureau of Economic Research, Inc.
  11. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 94(4), pages 822-41, August.
  12. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
  13. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  14. 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.
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  16. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, Econometric Society, vol. 62(1), pages 157-80, January.
  17. Federico Echenique, 2000. "Extensive-Form Games and Strategic Complementarities," Documentos de Trabajo (working papers) 1300, Department of Economics - dECON.
  18. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  19. 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.
  20. 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.
  21. Beggs, Alan & Klemperer, Paul, 1990. "Multi-Period Competition with Switching Costs," CEPR Discussion Papers 436, C.E.P.R. Discussion Papers.
  22. 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.
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Cited by:
  1. Jakub Steiner & Laurent Mathevet, 2012. "Sand in the Wheels: A Dynamic Global-Game Approach," 2012 Meeting Papers, Society for Economic Dynamics 123, Society for Economic Dynamics.
  2. Ruiz-Aliseda, Francisco, 2009. "Misinformative advertising," IESE Research Papers D/809, IESE Business School.
  3. Mathevet, Laurent & Steiner, Jakub, 2013. "Tractable dynamic global games and applications," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2583-2619.

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