FEEM working papers "Note di lavoro" series
2015 .013

Revisiting Worst-case DEA for Composite Indicators

Autori: Stergios Athanassoglou
Serie: Climate Change and Sustainable Development
Editor: Carlo Carraro
Parole chiave: Composite Indicator, Sustainability Index, DEA, Worst-case, Convex Optimization
Numero JEL: C43, C44, Q00


Composite indicators are becoming increasingly infuential tools of environmental assessment and advocacy. Nonetheless, their use is controversial as they often rely on ad-hoc and theoretically problematic assumptions regarding normalization, aggregation, and weighting. Nonparametric data envelopment analysis (DEA) methods, originating in the production economics literature, have been proposed as a means of addressing these concerns. These methods dispense with contentious normalization and weighting techniques by focusing on a measure of best-case relative performance. Recently, the standard DEA model for composite indicators was extended to account for worst-case analysis by Zhou, Ang, and Poh [21] (hereafter, ZAP). In this note we argue that, while valid and interesting in its own right, the measure adopted by ZAP may not capture, in a mathematical as well as practical sense, the notion of worst-case relative performance. By contrast, we focus on the strict worst case analogue of standard DEA for composite indicators and show how it leads to tractable optimization problems. Finally, we compare the two methodologies using data from ZAP's Sustainable Energy Index case study, demonstrating that they occasionally lead to divergent results.

Suggested citation: Athanassoglou, S., (2015), 'Revisiting Worst-case DEA for Composite Indicators', Nota di Lavoro 13.2015, Milan, Italy: Fondazione Eni Enrico Mattei.


Download file
Scarica il file PDF

FEEM Newsletter & Update

Iscriviti per rimanere aggiornato.

I Suoi dati saranno trattati dalla Fondazione Eni Enrico Mattei. – Titolare del trattamento – per ricevere via posta elettronica Newsletter & Update della Fondazione. Il conferimento dell’indirizzo e-mail è necessario alla fornitura del servizio. La invitiamo a consultare la Privacy Policy per ottenere maggiori informazioni a tutela dei Suoi diritti.

Questo Sito utilizza cookie tecnici e analytics, nonché consente l’invio di cookie di profilazione di terze parti.
Chiudendo questo banner o comunque proseguendo la navigazione sul Sito manifesti il tuo consenso all’uso dei cookie. Per ulteriori informazioni e per esprimere scelte selettive in ordine all’uso dei cookie vedi la   Cookie PolicyOk