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Strategic complementarity in multi-stage games

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  • Xavier Vives
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.
(This abstract was borrowed from another version of this item.)

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  • Xavier Vives, 2009. "Strategic complementarity in multi-stage games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 151-171, July.
    • Handle: RePEc:spr:joecth:v:40:y:2009:i:1:p:151-171
    DOI: 10.1007/s00199-008-0354-8
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    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.
    4. Laurent Mathevet & Jakub Steiner, 2012. "Sand in the Wheels: A Dynamic Global-Game Approach," CERGE-EI Working Papers wp459, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    5. Giuseppe Attanasi & Kene Boun My & Nikolaos Georgantzís & Miguel Ginés, 2019. "Strategic Ethics: Altruism without the Other-Regarding Confound," Revue économique, Presses de Sciences-Po, vol. 70(6), pages 967-998.
    6. 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).
    7. Feng, Yue & Sabarwal, Tarun, 2020. "Strategic complements in two stage, 2 × 2 games," Journal of Economic Theory, Elsevier, vol. 190(C).
    8. 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.
    9. Nobuyuki Hanaki & Ali I. Ozkes, 2023. "Strategic environment effect and communication," Experimental Economics, Springer;Economic Science Association, vol. 26(3), pages 588-621, July.
    10. 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.
    11. Sachin Adlakha & Ramesh Johari, 2013. "Mean Field Equilibrium in Dynamic Games with Strategic Complementarities," Operations Research, INFORMS, vol. 61(4), pages 971-989, August.
    12. He, Wei & Sun, Yeneng, 2017. "Stationary Markov perfect equilibria in discounted stochastic games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 35-61.
    13. Sungho Yun, 2018. "Minimum safety standards with asymmetric safety costs," Journal of Regulatory Economics, Springer, vol. 53(2), pages 152-173, April.
    14. Alexei Alexandrov, 2015. "When Should Firms Expose Themselves to Risk?," Management Science, INFORMS, vol. 61(12), pages 3001-3008, December.
    15. Chalioti, Evangelia & Serfes, Konstantinos, 2017. "Strategic incentives for innovations and market competition," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 427-449.

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    More about this item

    Keywords

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