Provides an exposition of several elementary models of fair division as they occur in the theory of games, inclusive of: The Problem of the Nile, The Ham Sandwich Problem, and The Steinhaus Solution of Divide and Choose. The discussion is intended to be essentially nontechnical, relying mostly on heuristic methods of presentation, avoiding rigorous derivation as much as possible. A broad distinction is made between mathematical formulations and game theoretic, observing, however, common intersections.
This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.