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Expert Elicitation of Adversary Preferences Using Ordinal Judgments

Author

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  • Chen Wang

    (Department of Industrial and Systems Engineering, University of Wisconsin--Madison, Madison, Wisconsin 53706)

  • Vicki M. Bier

    (Department of Industrial and Systems Engineering, University of Wisconsin--Madison, Madison, Wisconsin 53706)

Abstract

We introduce a simple elicitation process where subject-matter experts provide only ordinal judgments of the attractiveness of potential targets, and the adversary utility of each target is assumed to involve multiple attributes. Probability distributions over the various attribute weights are then mathematically derived (using either probabilistic inversion or Bayesian density estimation). This elicitation process reduces the burden of time-consuming orientation and training in traditional methods of attribute weight elicitation, and explicitly captures the existing uncertainty and disagreement among experts, rather than attempts to achieve consensus by eliminating them. We identify the relationship between the two methods and conduct sensitivity analysis to elucidate how these methods handle expert consensus or disagreement. We also present a real-world application on elicitation of adversarial preferences over various attack scenarios to show the applicability of our proposed methods.

Suggested Citation

  • Chen Wang & Vicki M. Bier, 2013. "Expert Elicitation of Adversary Preferences Using Ordinal Judgments," Operations Research, INFORMS, vol. 61(2), pages 372-385, April.
  • Handle: RePEc:inm:oropre:v:61:y:2013:i:2:p:372-385
    DOI: 10.1287/opre.2013.1159
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    References listed on IDEAS

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    Cited by:

    1. Julia R. Falconer & Eibe Frank & Devon L. L. Polaschek & Chaitanya Joshi, 2022. "Methods for Eliciting Informative Prior Distributions: A Critical Review," Decision Analysis, INFORMS, vol. 19(3), pages 189-204, September.
    2. Zhang, Xiaoxiong & Ye, Yanqing & Tan, Yuejin, 2020. "How to protect a genuine target against an attacker trying to detect false targets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Julia R. Falconer & Eibe Frank & Devon L. L. Polaschek & Chaitanya Joshi, 2024. "Eliciting Informative Priors by Modeling Expert Decision Making," Decision Analysis, INFORMS, vol. 21(2), pages 77-90, June.
    4. Olive Emil Wetter & Valentino Wüthrich, 2015. "“What is dear to you?” Survey of beliefs regarding protection of critical infrastructure against terrorism," Defense & Security Analysis, Taylor & Francis Journals, vol. 31(3), pages 185-198, September.
    5. Paulson, Elisabeth C. & Linkov, Igor & Keisler, Jeffrey M., 2016. "A game theoretic model for resource allocation among countermeasures with multiple attributes," European Journal of Operational Research, Elsevier, vol. 252(2), pages 610-622.
    6. Ríos Insua, David & Cano, Javier & Pellot, Michael & Ortega, Ricardo, 2016. "Multithreat multisite protection: A security case study," European Journal of Operational Research, Elsevier, vol. 252(3), pages 888-899.
    7. Jie Xu & Jun Zhuang, 2016. "Modeling costly learning and counter-learning in a defender-attacker game with private defender information," Annals of Operations Research, Springer, vol. 236(1), pages 271-289, January.
    8. César Gil & David Rios Insua & Jesus Rios, 2016. "Adversarial Risk Analysis for Urban Security Resource Allocation," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 727-741, April.
    9. Ríos Insua, David & Ruggeri, Fabrizio & Soyer, Refik & Rasines, Daniel G., 2018. "Adversarial issues in reliability," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1113-1119.

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