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Single peaked domains with tree-shaped spectra

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  • Vannucci, Stefano

Abstract

This paper provides a characterization of the families of uniquely topped total preorders on a finite set which are single peaked with respect to some tree-shaped spectrum.

Suggested Citation

  • Vannucci, Stefano, 2020. "Single peaked domains with tree-shaped spectra," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 74-80.
    • Handle: RePEc:eee:matsoc:v:108:y:2020:i:c:p:74-80
    DOI: 10.1016/j.mathsocsci.2020.09.003
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    References listed on IDEAS

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    1. Wendell, R. E. & McKelvey, R. D., 1981. "New perspectives in competitive location theory," European Journal of Operational Research, Elsevier, vol. 6(2), pages 174-182, February.
    2. Chatterji, Shurojit & Sen, Arunava & Zeng, Huaxia, 2016. "A characterization of single-peaked preferences via random social choice functions," Theoretical Economics, Econometric Society, vol. 11(2), May.
    3. Puppe, Clemens, 2018. "The single-peaked domain revisited: A simple global characterization," Journal of Economic Theory, Elsevier, vol. 176(C), pages 55-80.
    4. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
    5. Danilov, Vladimir I., 1994. "The structure of non-manipulable social choice rules on a tree," Mathematical Social Sciences, Elsevier, vol. 27(2), pages 123-131, April.
    6. John Duggan, 2016. "Preference exclusions for social rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 93-118, January.
    7. Vannucci, Stefano, 2016. "Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 56-67.
    8. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
    9. Trick, Michael A., 1989. "Recognizing single-peaked preferences on a tree," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 329-334, June.
    10. John Duggan, 2016. "Preference exclusions for social rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 93-118, January.
    11. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    12. Miguel Ballester & Guillaume Haeringer, 2011. "A characterization of the single-peaked domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 305-322, February.
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