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Strategic manipulation in group decisions with pairwise comparisons: A game theoretical perspective

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  • Sasaki, Yasuo

Abstract

We discuss the issue of strategic manipulation in group decision-making via pairwise comparisons. Pairwise comparisons play a pivotal role in the analytic hierarchy process (AHP). Although there is a large amount of literature on its application to group decisions, very little attention has been paid to the strategic issue: a group decision can be biased by strategically dishonest individuals. We aim to draw attention to the problem and provide a formal perspective to deal with it. We consider a scenario of group decision-making where the inputs are the individuals’ pairwise preferences and the outcome is in their interest. We formulate this situation as a strategic game where the individuals decide how to submit their pairwise preferences. Theoretical results show that truthful reporting can be a dominant strategy only in very limited situations, and moreover it is often weakly dominated.

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  • Sasaki, Yasuo, 2023. "Strategic manipulation in group decisions with pairwise comparisons: A game theoretical perspective," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1133-1139.
    • Handle: RePEc:eee:ejores:v:304:y:2023:i:3:p:1133-1139
    DOI: 10.1016/j.ejor.2022.05.015
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    2. Jacek Szybowski & Konrad Kułakowski & Sebastian Ernst, 2024. "Almost optimal manipulation of pairwise comparisons of alternatives," Journal of Global Optimization, Springer, vol. 90(1), pages 243-259, September.

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