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

Adriana Gama () and David Rietzke ()

Journal of Economic Theory, 2019, vol. 183, issue C, 823-841

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.

Keywords: Contests; Supermodularity; Cournot oligopoly; Monotone comparative statics (search for similar items in EconPapers)
JEL-codes: C61 C72 D72 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.jet.2019.08.004

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