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Integer Programming on Domains Containg Inseparable Ordered Pairs

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  • Francesca Busetto
  • Giulio Codognato
  • Simone Tonin

Abstract

Using the integer programming approach introduced by Sethura- man, Teo, and Vohra (2003), we extend the analysis of the preference domains containing an inseparable ordered pair, initiated by Kalai and Ritz (1978). We show that these domains admit not only Ar- rovian social welfare functions \without ties," but also Arrovian social welfare functions \with ties," since they satisfy the strictly decom- posability condition introduced by Busetto, Codognato, and Tonin (2012). Moreover, we go further in the comparison between Kalai and Ritz (1978)'s inseparability and Arrow (1963)'s single-peak restrictions, showing that the former condition is more \respectable," in the sense of Muller and Satterthwaite (1985)

Suggested Citation

  • Francesca Busetto & Giulio Codognato & Simone Tonin, 2014. "Integer Programming on Domains Containg Inseparable Ordered Pairs," Working Papers 2014_14, Business School - Economics, University of Glasgow.
    • Handle: RePEc:gla:glaewp:2014_14
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    References listed on IDEAS

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    1. Kalai, Ehud & Ritz, Zvi, 1980. "Characterization of the private alternatives domains admitting arrow social welfare functions," Journal of Economic Theory, Elsevier, vol. 22(1), pages 23-36, February.
    2. Francesca Busetto & Giulio Codognato & Simone Tonin, 2012. "Integer Programming and Nondictatorial Arrovian Social Welfare Functions," EconomiX Working Papers 2012-36, University of Paris Nanterre, EconomiX.
    3. Blair, Douglas & Muller, Eitan, 1983. "Essential aggregation procedures on restricted domains of preferences," Journal of Economic Theory, Elsevier, vol. 30(1), pages 34-53, June.
    4. Ritz, Zvi, 1985. "Restricted domains, arrow social welfare functions and noncorruptible and nonmanipulable social choice correspondences: The case of private and public alternatives," Journal of Economic Theory, Elsevier, vol. 35(1), pages 1-18, February.
    5. Kim, Ki Hang & Roush, Fred W., 1981. "Effective nondictatorial domains," Journal of Economic Theory, Elsevier, vol. 24(1), pages 40-47, February.
    6. Ritz, Zvi, 1983. "Restricted domains, arrow-social welfare functions and noncorruptible and non-manipulable social choice correspondences: The case of private alternatives," Mathematical Social Sciences, Elsevier, vol. 4(2), pages 155-179, April.
    7. Sethuraman, Jay & Teo, Chung-Piaw & Vohra, Rakesh V., 2006. "Anonymous monotonic social welfare functions," Journal of Economic Theory, Elsevier, vol. 128(1), pages 232-254, May.
    8. Kalai, Ehud & Muller, Eitan, 1977. "Characterization of domains admitting nondictatorial social welfare functions and nonmanipulable voting procedures," Journal of Economic Theory, Elsevier, vol. 16(2), pages 457-469, December.
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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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