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

Bettina Klose () and Paul Schweinzer
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Bettina Klose: Purdue University

Economic Theory, 2022, vol. 73, issue 4, No 3, 916 pages

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.

Keywords: All-pay auctions; Contests; Incomplete information; Private values; Risk-aversion; Mean-variance preferences (search for similar items in EconPapers)
JEL-codes: C7 D7 D81 L1 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Working Paper: Auctioning risk: The all-pay auction under mean-variance preferences (2017) Downloads
Working Paper: Auctioning risk: The all-pay auction under mean-variance preferences (2012) Downloads
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DOI: 10.1007/s00199-020-01332-7

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