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Equilibrium selection in aggregative games with strategic complementarities
Journal article   Open access   Peer reviewed

Equilibrium selection in aggregative games with strategic complementarities

Ricardo Serrano-Padial
Journal of mathematical economics, v 122, 103195
Feb 2026
Featured in Collection :   Research Supported by Drexel Libraries' OA Programs
url
https://doi.org/10.1016/j.jmateco.2025.103195View
Published, Version of Record (VoR)Open Access via Drexel Libraries Read and Publish Program 2025CC BY V4.0 Open

Abstract

Aggregative games Global games Laplacian beliefs Noise-independent selection Potential games
We study large games played by heterogeneous agents whose payoffs depend on their type and on the aggregate action. We show that when player actions and the aggregate action are complements the global games equilibrium selection yields a unique equilibrium. We characterize the selected equilibrium as the strategy profile that maximizes average expected payoffs when players have pessimistic beliefs about the aggregate action. In particular, each agent believes to be the lowest type to contribute to the aggregate action. To obtain our result we prove that beliefs about the distribution of the aggregate action in the global game satisfy a generalized Laplacian property, which states that the (weighted) average belief is the uniform distribution.

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#10 Reduced Inequalities

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Web of Science research areas
Economics
Mathematics, Interdisciplinary Applications
Social Sciences, Mathematical Methods
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