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Collective Evaluation Problem

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  • Yasunori Okumura

Abstract

This study focuses on situations where a finite set of alternatives is evaluated by collecting evaluations from several individuals, some of whom may not evaluate specific alternatives. The collection of subsets of alternatives that individuals (can) evaluate is referred to as an evaluability profile. For a given evaluability profile, we define a collective evaluation function whose inputs are the evaluation orders of individuals on the subsets of alternatives that they evaluate. We investigate the properties of collective evaluation functions, which are modifications of those introduced in previous studies. We identify the necessary and sufficient conditions on the evaluability profile that ensure the existence of collective evaluation functions satisfying four different combinations of these properties.

Suggested Citation

  • Yasunori Okumura, 2024. "Collective Evaluation Problem," Papers 2402.16309, arXiv.org, revised Mar 2024.
    • Handle: RePEc:arx:papers:2402.16309
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