Manipulation of individual judgments in the quantitative pairwise comparisons method
arXiv:2211.01809 · doi:10.1142/S0219622025500142
Abstract
Decision-making methods very often use the technique of comparing alternatives in pairs. In this approach, experts are asked to compare different options, and then a quantitative ranking is created from the results obtained. It is commonly believed that experts (decision-makers) are honest in their judgments. In our work, we consider a scenario in which experts are vulnerable to bribery. For this purpose, we define a framework that allows us to determine the intended manipulation and present three algorithms for achieving the intended goal. Analyzing these algorithms may provide clues to help defend against such attacks.
arXiv comment31 pages, 7 compound figures
References in corpus (9)
- Studying a set of properties of inconsistency indices for pairwise comparisons
- Inconsistency indices for incomplete pairwise comparisons matrices
- On the monotonicity of the eigenvector method
- On the geometric mean method for incomplete pairwise comparisons
- On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method
- Heuristic rating estimation - geometric approach
- Heuristic Rating Estimation Approach to The Pairwise Comparisons Method
- Obvious Manipulability of Voting Rules
- The quality of priority ratios estimation in relation to a selected prioritization procedure and consistency measure for a Pairwise Comparison Matrix