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Ranking Ranking Rules


  • Barak Medina

    (Hebrew University)

  • Shlomo Naeh

    (Hebrew University)

  • Uzi Segal

    () (Boston College)


Transitivity is a fundamental requirement for consistency. Legal systems, especially when composed over time and by different agencies, may encounter non-transitive cycles. This paper discusses a new solution to such cycles, namely setting the hierarchy of the relevant rules or preferences. The hierarchy determines the sequence of applying the rules or preferences, and thus enables avoiding non-transitive cycles. The paper provides a formal generalization of this solution, and demonstrates its possible implementation to anti-discrimination laws. It is also shown that this solution can be traced to the Rabbinic literature, starting with the Mishnah and the Talmud (1st–5th c CE).

Suggested Citation

  • Barak Medina & Shlomo Naeh & Uzi Segal, 2011. "Ranking Ranking Rules," Boston College Working Papers in Economics 770, Boston College Department of Economics, revised 27 Feb 2012.
  • Handle: RePEc:boc:bocoec:770

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    References listed on IDEAS

    1. Ariel Rubinstein, 2006. "Lecture Notes in Microeconomic Theory," Online economics textbooks, SUNY-Oswego, Department of Economics, number gradmicro1.
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    More about this item


    transitivity; cycles; Talmud;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • K31 - Law and Economics - - Other Substantive Areas of Law - - - Labor Law


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