All-Pay Auctions with Weakly Risk-Averse Buyers
We use perturbation analysis to study independent private-value all-pay auctions with weakly risk-averse buyers. We show that under weak risk aversion: 1) Buyers with low values bid lower and buyers with high values bid higher than they would bid in the risk neutral case. 2) Buyers with low values bid lower and buyers with high values bid higher than they would bid in a first-price auction. 3) Buyers' expected utilities in an all-pay auction are lower than in a first-price auction. 4) The seller's expected payoff in an all-pay auction may be either higher or lower than in the risk neutral case. 5) The seller's expected payoff in an all-pay auction may be either higher or lower than in a first-price auction.
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- Alan Gelder & Dan Kovenock & Brian Roberson, 2016. "All-Pay Auctions with Ties," Working Papers 16-31, Chapman University, Economic Science Institute.
- Krishna, Vijay & Morgan, John, 1997.
"An Analysis of the War of Attrition and the All-Pay Auction,"
Journal of Economic Theory,
Elsevier, vol. 72(2), pages 343-362, February.
- Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA.