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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.

Suggested Citation

  • Vives, Xavier, 2006. "Strategic complementarity in multi-stage games," IESE Research Papers D/619, IESE Business School.
  • Handle: RePEc:ebg:iesewp:d-0619
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    3. Mathevet, Laurent & Steiner, Jakub, 2013. "Tractable dynamic global games and applications," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2583-2619.
    4. Ruiz-Aliseda, Francisco, 2009. "Misinformative advertising," IESE Research Papers D/809, IESE Business School.
    5. Jakub Steiner & Laurent Mathevet, 2012. "Sand in the Wheels: A Dynamic Global-Game Approach," 2012 Meeting Papers 123, Society for Economic Dynamics.
    6. Feng, Yue & Sabarwal, Tarun, 2020. "Strategic complements in two stage, 2 × 2 games," Journal of Economic Theory, Elsevier, vol. 190(C).
    7. Piotr Więcek, 2017. "Total Reward Semi-Markov Mean-Field Games with Complementarity Properties," Dynamic Games and Applications, Springer, vol. 7(3), pages 507-529, September.
    8. Sachin Adlakha & Ramesh Johari, 2013. "Mean Field Equilibrium in Dynamic Games with Strategic Complementarities," Operations Research, INFORMS, vol. 61(4), pages 971-989, August.
    9. Mensch, Jeffrey, 2020. "On the existence of monotone pure-strategy perfect Bayesian equilibrium in games with complementarities," Journal of Economic Theory, Elsevier, vol. 187(C).
    10. He, Wei & Sun, Yeneng, 2017. "Stationary Markov perfect equilibria in discounted stochastic games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 35-61.
    11. Chalioti, Evangelia & Serfes, Konstantinos, 2017. "Strategic incentives for innovations and market competition," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 427-449.
    12. Sungho Yun, 2018. "Minimum safety standards with asymmetric safety costs," Journal of Regulatory Economics, Springer, vol. 53(2), pages 152-173, April.
    13. Svetlana Boyarchenko, 0. "Super- and submodularity of stopping games with random observations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 0, pages 1-40.
    14. Sverre Grepperud, 2015. "Optimal safety standards when accident prevention depends upon both firm and worker effort," European Journal of Law and Economics, Springer, vol. 39(3), pages 505-521, June.

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    More about this item

    Keywords

    Markov game; supermodularity; two-stage game; adjustment costs; learning curve; network effects;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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