Information elicitation mechanisms for Bayesian auctions

Abstract In this paper we design information elicitation mechanisms for Bayesian auctions. While in Bayesian mechanism design the distributions of the players’ private types are often assumed to be common knowledge, information elicitation considers the situation where the players know the distributions better than the decision maker. To weaken the information assumption in Bayesian auctions, we consider an information structure where the knowledge about the distributions is arbitrarily scattered among the players. In such an unstructured information setting, we design mechanisms for unit-demand auctions and additive auctions that aggregate the players’ knowledge, generating revenue that are constant approximations to the optimal Bayesian mechanisms with a common prior. Our mechanisms are 2-step dominant-strategy truthful and the approximation ratios improve gracefully with the amount of knowledge the players collectively have.

Authors

• Jing Chen
• Bo Li vivo Mobile Communication Co., Ltd
• Yingkai Li Department of Economics, National University of Singapore, Singapore

Keywords

• Bayesian auctions
• Information elicitation
• Distributed knowledge
• Removing common prior