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Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly
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Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly

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  • Gama, Adriana
  • Rietzke, David

Abstract

In this paper, we employ lattice-theoretic techniques to derive a number of comparative statics in a logit contest – a class of games for which best-replies are generically non-monotonic. Using the same approach, we obtain several comparative statics in a Cournot oligopoly model without imposing the usual assumptions that ensure the game is one of strategic substitutes. Our analysis illustrates how lattice-theoretic techniques can deliver powerful insights in games with non-monotonic best-replies.

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  • Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    • Handle: RePEc:eee:jetheo:v:183:y:2019:i:c:p:823-841
    DOI: 10.1016/j.jet.2019.08.004
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    2. Kishishita, Daiki & Ozaki, Hiroyuki, 2020. "Public goods game with ambiguous threshold," Economics Letters, Elsevier, vol. 191(C).
    3. Rabah Amir & Igor Evstigneev & Adriana Gama, 2021. "Oligopoly with network effects: firm-specific versus single network," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1203-1230, April.
    4. Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2024. "Submodularity and supermodularity in contest games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(2), pages 182-198, June.

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    More about this item

    Keywords

    Contests; Supermodularity; Cournot oligopoly; Monotone comparative statics;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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