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Consensus-halving via Theorems of Borsuk-Ulam and Tucker

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Author Info
Forest W. Simmons
Francis Su (Harvey Mudd College)
Abstract

In this paper we show how theorems of Borsuk-Ulam and Tucker can be used to construct a consensus-halving: a division of an object into two portions so that each of n people believe the portions are equally split. Moreover, the division takes at most n cuts, which is best possible. This extends prior work using methods from combinatorial topology to solve fair division problems. Several applications of consensus-halving are discussed.

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Paper provided by Claremont Colleges in its series Claremont Colleges Working Papers with number 2001-03.

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Date of creation: Feb 2001
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Handle: RePEc:clm:clmeco:2001-03

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances

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  1. Francis Su, . "Rental Harmony: Sperner's Lemma in Fair Division," Claremont Colleges Working Papers 1999-10, Claremont Colleges. [Downloadable!]
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This page was last updated on 2009-11-27.

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