Children crying at birthday parties . Why ? Fairness and incentives for cake division problems

Abstract

We consider the problem of dividing a non-homogeneous onedimensional 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 various requirements of fairness (no-envy, egalitarian… (More)

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