Computing Bayes-Nash Equilibria in Combinatorial Auctions with Verification

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Computing Bayes-Nash Equilibria in Combinatorial Auctions with Continuous Value and Action Spaces

Combinatorial auctions (CAs) are widely used in practice, which is why understanding their incentive properties is an important problem. However, finding Bayes-Nash equilibria (BNEs) of CAs analytically is tedious, and prior algorithmic work has only considered limited solution concepts (e.g. restricted action spaces). In this paper, we present a fast, general algorithm for computing symmetric ...

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Using Simultaneous Best Response to Find Symmetric Bayes-Nash Equilibria in Auctions

Finding Nash and Bayes-Nash equilibria in games is a hard problem both analytically and computationally. We restrict out attention to symmetric Bayes-Nash equilibria in auctions and propose a computational method that takes advantage of the symmetry of equilibria and structure of auction games. The method is iterated best-response where all players move simultaneously. We present experimental r...

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Using Iterated Best-Response to Find Bayes-Nash Equilibria in Auctions

Introduction Bayes-Nash equilibria (BNE) have been derived analytically only for the simplest auction settings (Krishna 2002). Such settings include single-item firstand second-price auctions with continuous distributions of bidders’ values1. Very little research has been devoted to auctions with discrete bids and values. We take some important first steps in this direction by computationally i...

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ژورنال

عنوان ژورنال: Journal of Artificial Intelligence Research

سال: 2020

ISSN: 1076-9757

DOI: 10.1613/jair.1.11525