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Optimal Mechanism Design with Risk-Loving Agents
Conference proceeding   Open access   Peer reviewed

Optimal Mechanism Design with Risk-Loving Agents

Evdokia Nikolova, Emmanouil Pountourakis and Ger Yang
WEB AND INTERNET ECONOMICS, WINE 2018, v 11316, pp 375-392
01 Jan 2018
url
https://arxiv.org/pdf/1810.02758View

Abstract

Business & Economics Computer Science Computer Science, Interdisciplinary Applications Computer Science, Theory & Methods Economics Operations Research & Management Science Science & Technology Social Sciences Technology
One of the most celebrated results in mechanism design is Myerson's characterization of the revenue optimal auction for selling a single item. However, this result relies heavily on the assumption that buyers are indifferent to risk. In this paper we investigate the case where the buyers are risk-loving, i.e. they prefer gambling to being rewarded deterministically. We use the standard model for risk from expected utility theory, where risk-loving behavior is represented by a convex utility function. We focus our attention on the special case of exponential utility functions. We characterize the optimal auction and show that randomization can be used to extract more revenue than when buyers are risk-neutral. Most importantly, we show that the optimal auction is simple: the optimal revenue can be extracted using a randomized take-it-or-leave-it price for a single buyer and using a loser-pay auction, a variant of the all-pay auction, for multiple buyers. Finally, we show that these results no longer hold for convex utility functions beyond exponential.

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2 citations in Scopus

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#10 Reduced Inequalities

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Web of Science research areas
Computer Science, Interdisciplinary Applications
Computer Science, Theory & Methods
Economics
Operations Research & Management Science
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