Two derivations of the uniform rule and an application to bankruptcy

James Schummer*, William Thomson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


We consider the problem of allocating a single infinitely divisible commodity to agents with single-peaked preferences, and establish two properties of the rule that has played the central role in the analysis of this problem, the uniform rule. Among the efficient allocations, it selects (1) the one at which the difference between the largest amount received by any agent and the smallest such amount is minimal, and (2) the one at which the variance of the amounts received by all the agents is minimal. We also show that an important solution for bankruptcy problems, the constrained equal-award solution, can be characterized by analogous minimization exercises, subject to different constraints.

Original languageEnglish (US)
Pages (from-to)333-337
Number of pages5
JournalEconomics Letters
Issue number3
StatePublished - Sep 12 1997


  • Bankruptcy problems
  • Constrained equal award solution
  • D51
  • D63
  • D70
  • Single-peaked preferences
  • Talmudic solution
  • Uniform rule

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics


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