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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Auctioning risk: The all-pay auction under mean-variance preferences
Organization Unit
Authors
  • Bettina Susanne Klose
  • Paul Schweinzer
Language
  • English
Institution University of Zurich
Series Name Working paper series / Department of Economics
Number 97
ISSN 1664-7041
Number of Pages 40
Date 2017
Abstract Text 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.
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Keywords All-pay auctions, contests, incomplete information, private values, risk-aversion, mean-variance preferences, Auktionstheorie, Präferenzordnung, Entscheidungstheorie
Additional Information Revised version