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Almost optimal manipulation of pairwise comparisons of alternatives

Author

Listed:
  • Jacek Szybowski

    (AGH University of Krakow)

  • Konrad Kułakowski

    (AGH University of Krakow)

  • Sebastian Ernst

    (AGH University of Krakow)

Abstract

The role of an expert in the decision-making process is crucial. If we ask an expert to help us to make a decision we assume their honesty. But what if the expert is dishonest? Then, the answer on how difficult it is for an expert to provide manipulated data in a given case of decision-making process becomes essential. In the presented work, we consider manipulation of a ranking obtained by the Geometric Mean Method applied to a pairwise comparisons matrix. More specifically, we propose an algorithm for finding an almost optimal way to swap the positions of two selected alternatives in a ranking. We also define a new index which measures how difficult such manipulation is in a given case.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jglopt:v:90:y:2024:i:1:d:10.1007_s10898-024-01391-3
    DOI: 10.1007/s10898-024-01391-3
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