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      Adversarial risk analysis for first-price sealed-bid auctions.

      Ejaz, Muhammad; Joshi, Chaitanya; Joe, Stephen
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      1911.09851v2.pdf
      Submitted version, 378.4Kb
      DOI
       10.1111/anzs.12315
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      Ejaz, M., Joshi, C., & Joe, S. (2021). Adversarial risk analysis for first-price sealed-bid auctions. Australian and New Zealand Journal of Statistics, Early View. https://doi.org/10.1111/anzs.12315
      Permanent Research Commons link: https://hdl.handle.net/10289/14365
      Abstract
      Adversarial risk analysis (ARA) is an upcoming methodology that is considered to haveadvantages over the traditional decision-theoretic and game-theoretic approaches. ARAsolutions for first-price sealed-bid (FPSB) auctions have been found but only under strongassumptions which make the model somewhat unrealistic. In this paper, we use ARAmethodology to model FPSB auctions using more realistic assumptions. We define a newutility function that considers bidders’ wealth, we assume a reserve price and find solutionsnot only for risk-neutral but also for risk-averse as well as risk-seeking bidders. We modelthe problem using ARA for non-strategic play and level-k thinking solution concepts.
      Date
      2021
      Type
      Journal Article
      Publisher
      Wiley
      Rights
      This is an author’s submitted version of an article published in the journal: Australian and New Zealand Journal of Statistics. © 2021 Australian Statistical Publishing Association Inc. Published by John Wiley & Sons Australia Pty Ltd.
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      • Computing and Mathematical Sciences Papers [1455]
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