Almost optimal manipulation of pairwise comparisons of alternatives

Jacek Szybowski (), Konrad Kułakowski () and Sebastian Ernst ()
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Jacek Szybowski: AGH University of Krakow
Konrad Kułakowski: AGH University of Krakow
Sebastian Ernst: AGH University of Krakow

Journal of Global Optimization, 2024, vol. 90, issue 1, No 9, 243-259

Abstract: 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.

Keywords: Pairwise comparisons; Data manipulation; Rank reversal; Orthogonal projection (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10898-024-01391-3

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