Citation

Orbán-Mihálykó, Mihálykó C, Gyarmati L. Cent. Eur. J. Oper. Res. 2023; ePub(ePub): ePub.

Copyright

(Copyright © 2023, Holtzbrinck Springer Nature Publishing Group)

DOI

10.1007/s10100-023-00839-3

PMID

36817564

PMCID

PMC9924872

Abstract

Ranking and rating methods have outstanding significance in sports, mainly due to their capacity to predict results. In this paper we turn to their capacity to aggregate separate groups' rankings based on a small piece of information. We investigate under which conditions two or more separate groups can be trustworthily interwoven applying Thurstone motivated methods and an AHP based method. A theorem is proved which guarantees adequate unified ranking based on some links between the groups. We also analyse the robustness of the results.

Language: en

Keywords

Maximum likelihood estimation; Aggregation; AHP; Bradley–Terry model; Evaluation of sports tournaments; Paired comparison; Thurstone method; Weighted LLSM