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Extending the Zero-Sum Gains Data Envelopment Analysis Model

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  • Thanasis Bouzidis

    (Department of Economics, University of Macedonia)

  • Giannis Karagiannis

    (Department of Economics, University of Macedonia)

Abstract

In this paper, we adapt the ZSG-DEA model to the case of a reverse output, whose larger (smaller) values reflect lower (higher) achievements. Then, we introduce the zero-sum reverse output redistribution strategies, state the resulting Target’s Assessment Theorem for both the proportional and the equal expansion strategy, and confirm that the Benchmarks’ Contribution Equality Theorem is also applicable to these cases. We also apply the ZSG-DEA model with a forward and a reverse output to estimate respectively teams’ offensive and defensive efficiency in Greek premier soccer league.

Suggested Citation

  • Thanasis Bouzidis & Giannis Karagiannis, 2022. "Extending the Zero-Sum Gains Data Envelopment Analysis Model," Discussion Paper Series 2022_06, Department of Economics, University of Macedonia, revised Aug 2022.
    • Handle: RePEc:mcd:mcddps:2022_06
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    References listed on IDEAS

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    More about this item

    Keywords

    Data Envelopment Analysis (DEA); Zero-Sum Gains (ZSG); Output Interdependency; Forward/Reverse Fixed-Sum Output; Offensive/Defensive Efficiency; Soccer Teams;
    All these keywords.

    JEL classification:

    • Z2 - Other Special Topics - - Sports Economics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

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