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Efficiently Computing Equilibria in Budget-Aggregation Games

Published: September 10, 2025 | arXiv ID: 2509.08767v2

By: Patrick Becker , Alexander Fries , Matthias Greger and more

Potential Business Impact:

Helps fairly share money for group projects.

Business Areas:
Collaborative Consumption Collaboration

Budget aggregation deals with the social choice problem of distributing an exogenously given budget among a set of public projects, given agents' preferences. Taking a game-theoretic perspective, we initialize the study of budget-aggregation games where each agent has virtual decision power over some fraction of the budget. This paper investigates the structure and shows efficient computability of Nash equilibria in this setting for various preference models. In particular, we show that Nash equilibria for Leontief utilities can be found in polynomial time, solving an open problem from Brandt et al. [2023].

Page Count
15 pages

Category
Computer Science:
CS and Game Theory