Monotone Games

Sabarwal, Tarun

doi:10.1007/978-3-030-45513-2_5

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2023

2024

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Cited by 2 publications

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“…The respective literature has produced several appealing results on the existence of Nash equilibrium, the order structure of the equilibrium set, and monotone comparative statics without resorting to the standard topological assumptions on players' strategy sets or utility functions (see Amir, 1996; Milgrom & Roberts, 1990; Milgrom & Shannon, 1994; Roy & Sabarwal, 2008, 2010; Topkis, 1979; Vives, 1990; Zhou, 1994). The reader is referred to Topkis (1998), Vives (1999, 2005), Amir (2005, 2019), and Sabarwal (2021) for extensive overviews of the literature.…”

Section: Introductionmentioning

confidence: 99%

Submodularity and supermodularity in contest games

Karagözoğlu,

Keskin,

Sağlam

2024

Int J of Economic Theory

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This paper presents various examples of two‐player submodular or supermodular contest games. Emphasizing the three main elements of a contest model, our examples revolve around situations where (i) contest success function allows for a draw, (ii) winning prize is not exogenously given but rather jointly produced, or (iii) individual effort cost also depends on the rival's effort. We then illustrate how submodularity and supermodularity can be used to study the existence of equilibrium, the order structure of the equilibrium set, and monotone comparative statics in such contest game examples.

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