Consensus-halving via Theorems of Borsuk-Ulam and Tucker

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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Year of publication:	2001-02
Authors:	Simmons, Forest W. ; Su, Francis
Institutions:	Economics Department, Claremont McKenna College

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Extent:	application/pdf
Series:	Claremont Colleges Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Classification:	C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement ; D74 - Conflict; Conflict Resolution; Alliances
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005453651