π€ AI Summary
This study investigates how risk aversion influences bidding behavior and equilibrium outcomes in first-price and second-price auctions. By developing a unified analytical framework grounded in bidding preferences and integrating game theory, expected utility theory, and comparative statics, the paper uncovers the underlying mechanism through which risk aversion generates opposing bidding effects across auction formats: it induces bidders to submit higher bids in first-price auctions while leading to lower bids in second-price auctions. This work not only reconciles seemingly contradictory findings in the existing literature but also establishes rigorous comparative static results regarding equilibrium behavior. The analysis provides a novel theoretical foundation for understanding the interplay between biddersβ risk preferences and auction design.
π Abstract
We provide a unifying way to analyze how risk aversion changes bidding in auctions by asking which bids become more attractive as bidders become more risk averse. In first-price auctions, under two payoff conditions--winning is never worse than the outside option, and winning with a low bid is preferable to winning only with a high bid--greater risk aversion makes high bids more appealing. In second-price auctions with a known outside option, bidding more increases risk exposure conditional on winning, so greater risk aversion favors lower bids. We show these bid-level forces translate into corresponding equilibrium comparative statics.