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<p>In this paper we examine the relation between the “bad outputs as inputs” with other approaches of modeling undesirable outputs in non-parametric production analysis and we end up with six equivalencies among them. Based on these, we argue that the “bad outputs as inputs” is a valid modeling option as long as the assumption of extended strong disposability and thus of reverse outputs is reasonable in a particular setting. In this case, the “bad outputs as inputs” approach can easily be implemented by means of a conventional input-oriented DEA model with variable returns to scale where the translated additive inverse transformation is applied to undesirable output quantities.</p>

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“Bad outputs as inputs”, reverse outputs and extended strong disposability

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月9日

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  • Giannis Karagiannis,
  • Stavros Kourtzidis

摘要

In this paper we examine the relation between the “bad outputs as inputs” with other approaches of modeling undesirable outputs in non-parametric production analysis and we end up with six equivalencies among them. Based on these, we argue that the “bad outputs as inputs” is a valid modeling option as long as the assumption of extended strong disposability and thus of reverse outputs is reasonable in a particular setting. In this case, the “bad outputs as inputs” approach can easily be implemented by means of a conventional input-oriented DEA model with variable returns to scale where the translated additive inverse transformation is applied to undesirable output quantities.