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Coalitional Manipulation of Set-Valued Median Voting

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  • Toshiya Yoshimura

Abstract

We study coalitional manipulation of interval-valued median correspondences on the single-peaked domain. Under the pessimistic extension, group strategy-proofness rules out any genuinely set-valued choice. Under the optimistic and best--worst extensions, by contrast, group strategy-proofness characterizes target set correspondences. Moreover, coalitions of at most two voters suffice for both the impossibility and characterization results. Thus, coalitional robustness sharply restricts, but need not eliminate, set-valued flexibility.

Suggested Citation

  • Toshiya Yoshimura, 2026. "Coalitional Manipulation of Set-Valued Median Voting," Papers 2608.18739, arXiv.org.
    • Handle: RePEc:arx:papers:2608.18739
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    File URL: https://arxiv.org/pdf/2608.18739
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