The Lottery Problem for Ranking Theory

Abstract Ranking Theory has been developed as an alternative to subjec- tive probability for modelling partial belief. It goes further than probability in that it jointly models both full and partial belief. One selling feature is that the Lottery Paradox does not arise in Ranking Theory. However, all is not well when it comes to modelling lottery beliefs with ranks. In this paper, I show how lotteries create problems for Ranking Theory.

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Journal
Analysis
Published
2025-10-03
DOI
https://doi.org/10.1093/analys/anaf074
Primary Topic
Game Theory and Voting Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

The Lottery Problem for Ranking Theory

Gerrit Neels
Analysis
Game Theory and Voting Systems
article

The Lottery Problem for Ranking Theory

Gerrit Neels
article en

Abstract

Abstract Ranking Theory has been developed as an alternative to subjec- tive probability for modelling partial belief. It goes further than probability in that it jointly models both full and partial belief. One selling feature is that the Lottery Paradox does not arise in Ranking Theory. However, all is not well when it comes to modelling lottery beliefs with ranks. In this paper, I show how lotteries create problems for Ranking Theory.

Analysis
University of British Columbia (CA)
Openalex Percentile: Top 64%
Game Theory and Voting Systems
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The Lottery Problem for Ranking Theory — Gerrit Neels · Analysis (2025) | TGRS Research Map | TGRS