Economic Theory

, Volume 31, Issue 3, pp 501–521

Children Crying at Birthday Parties. Why?

Research Article

DOI: 10.1007/s00199-006-0109-3

Cite this article as:
Thomson, W. Economic Theory (2007) 31: 501. doi:10.1007/s00199-006-0109-3

Abstract

We consider the problem of dividing a non-homogeneous one-dimensional continuum whose endpoints are topologically identified. Examples are the division of a birthday cake, the partition of a circular market, the assignment of sentry duty or medical call. We study the existence of rules satisfying requirements of efficiency, fairness (no-envy), and immunity to misrepresentation of preferences (strategy-proofness).

Keywords

Cake divisionNo-envyStrategy-proofness

JEL Classification Numbers

D63D70

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of EconomicsUniversity of RochesterRochesterUSA