Two in One: A New Tool to Combine Two Rankings Based on the Voronoi Diagram

Francesca Mariani (), Mariateresa Ciommi () and Maria Cristina Recchioni ()
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Francesca Mariani: Università Politecnica delle Marche
Mariateresa Ciommi: Università Politecnica delle Marche
Maria Cristina Recchioni: Università Politecnica delle Marche

Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, 2024, vol. 175, issue 3, No 12, 989-1005

Abstract: Abstract In this paper, we propose a novel method for ranking items such as countries, individuals, or firms based on two indices. This approach is particularly useful when constructing a composite indicator that combines both dimensions is not feasible. The proposed ranking approach involves an iterative scheme where the Voronoi algorithm is applied in a two-dimensional space at each step. To provide empirical evidence that our approach works satisfactorily, we applied the Voronoi-based iterative scheme to rank 34 European countries based on two dimensions: the Human Development Index (HDI) and the Happiness Index (HI). The correlation coefficient between the rankings based on HDI and HI is lower than the correlation coefficients between the Voronoi-based ranking and HDI, as well as between the Voronoi-based ranking and HI. These results suggest that the new method is capable of better capturing the information from both original indices.

Keywords: Voronoi partition; Ranking; Composite indicator (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11205-023-03192-9

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