# Margin of Victory in Tournaments: Structural and Experimental Results

arXiv: https://arxiv.org/abs/2012.02657 · HTML: https://mlsanity.com/paper/2012.02657/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Dec 2020.

## Built on by (most cited first, 2 of 2)

- [Explaining Tournament Solutions with Minimal Supports](https://mlsanity.com/paper/2509.09312/) (2025)
- [Characterizing Necessary Losers to Explain Tournaments Solutions](https://mlsanity.com/paper/2608.23446/) (2026)

## Abstract (arXiv)

Tournament solutions are standard tools for identifying winners based on pairwise comparisons between competing alternatives. The recently studied notion of margin of victory (MoV) offers a general method for refining the winner set of any given tournament solution, thereby increasing the discriminative power of the solution. In this paper, we reveal a number of structural insights on the MoV by investigating fundamental properties such as monotonicity and consistency with respect to the covering relation. Furthermore, we provide experimental evidence on the extent to which the MoV notion refines winner sets in tournaments generated according to various stochastic models.