An alternative quality of life ranking on the basis of remittances

Petróczy, Dóra Gréta

doi:10.1016/j.seps.2021.101042

Cited by 14 publications

(7 citation statements)

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“…In our examples, these numbers can be 1 or 2, depending on the number of cancelled matches caused by pandemic. To keep this information, we introduce weights in the objective function, similarly to in Csató and Tóth ( 2020 ), Petróczy ( 2021 ). Consequently, ( 1 ) is replaced by where is the number of matches between players i and j .…”

Section: A Short Summary Of the Applied Methodsmentioning

confidence: 99%

Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups

Orbán-Mihálykó

Mihálykó

Gyarmati

2023

Cent Eur J Oper Res

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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.

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Section: A Short Summary Of the Applied Methodsmentioning

confidence: 99%

Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups

Orbán-Mihálykó

Mihálykó

Gyarmati

2023

Cent Eur J Oper Res

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“…The generalized row sum and especially the least-squares methods have several successful applications, including, among others: (a) international price comparisons by the Eurostat and OECD, where the least-squares procedure is called the EKS (Éltető-Köves-Szulc) method ( European Union / OECD, 2012 ); (b) evaluating movies ( Jiang et al , 2011 ); (c) deriving alternative quality of life indices ( Petróczy, 2021 ); (d) ranking the participants of the Eurovision Song Contest ( Čaklović & Kurdija, 2017 ); (e) ranking universities on the basis of applicants’ preferences ( Csató & Tóth, 2020 ); (f) ranking historical go ( Chao et al , 2018 ) and tennis players ( Bozóki et al , 2016 ); and (g) ranking teams in Swiss-system chess tournaments ( Csató, 2017 ). Further details on their theoretical properties can be found in Chebotarev (1994) , Shamis (1994) and González-Díaz et al (2014) .…”

Section: A Reasonable Family Of Ranking Methodsmentioning

confidence: 99%

Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume

Csató

2021

IMA Journal of Management Mathematics

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Many sports leagues are played in a tightly scheduled round-robin format, leaving a limited time window to postpone matches. If the season cannot resume due to an external shock such as the coronavirus pandemic in 2020, the ranking of the teams becomes non-trivial: it is necessary to account for schedule imbalances and possibly for the different number of matches played. First in the literature, we identify a set of desired axioms for ranking in these incomplete tournaments. It is verified that the generalized row sum, a parametric family of scoring rules, satisfies all of them. In particular, the well-established least-squares method maximizes the influence of the strength of opponents on the ranking. Our approach is applied for six major premier European soccer competitions, where the rankings are found to be robust concerning the weight of adjustment for the strength of the opponents. Some methodologically simpler alternative policies are also discussed.

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“…This is an open access article under the CC BY license ( http://creativecommons.org/licenses/by/4.0/ ) rarely transitive and some players/teams have never played against each other [7,[15][16][17]29] . Analogously, there exists no guarantee for consistency when the pairwise comparisons are given by the bilateral remittances between countries [28] , or by the preferences of students between universities [19] .…”

Section: Introductionmentioning

confidence: 99%

Inconsistency thresholds for incomplete pairwise comparison matrices

Ágoston

Csató

2022

Omega

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Pairwise comparison matrices are increasingly used in settings where some pairs are missing. However, there exist few inconsistency indices for similar incomplete data sets and no reasonable measure has an associated threshold. This paper generalises the famous rule of thumb for the acceptable level of inconsistency, proposed by Saaty, to incomplete pairwise comparison matrices. The extension is based on choosing the missing elements such that the maximal eigenvalue of the incomplete matrix is minimised. Consequently, the well-established values of the random index cannot be adopted: the inconsistency of random matrices is found to be the function of matrix size and the number of missing elements, with a nearly linear dependence in the case of the latter variable. Our results can be directly built into decisionmaking software and used by practitioners as a statistical criterion for accepting or rejecting an incomplete pairwise comparison matrix.

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An alternative quality of life ranking on the basis of remittances

Cited by 14 publications

References 50 publications

Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups

Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups

Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume

Inconsistency thresholds for incomplete pairwise comparison matrices

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