Auctioning risk: the all-pay auction under mean-variance preferences

B-Tier
Journal: Economic Theory
Year: 2022
Volume: 73
Issue: 4
Pages: 881-916

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Abstract We analyse the all-pay auction with incomplete information and variance-averse bidders. We characterise the unique symmetric equilibrium for general distributions of valuations and any number of bidders. Variance aversion is a sufficient assumption to predict that high-valuation bidders increase their bids relative to the risk-neutral case while low types decrease their bid. Considering an asymmetric two-player environment with uniformly distributed valuations, we show that a variance-averse player always bids higher than her risk-neutral opponent with the same valuation. Utilising our analytically derived bidding functions we discuss all-pay auctions with variance-averse bidders from an auction designer’s perspective. We briefly consider possible extensions of our model, including noisy signals, type-dependent attitudes towards risk, and variance-seeking preferences.

Technical Details

RePEc Handle
repec:spr:joecth:v:73:y:2022:i:4:d:10.1007_s00199-020-01332-7
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25