TY - JOUR
T1 - The Role of Replication-Invariance: Two answers Concerning the Problem of Fair Division when Preferences are Single-Peaked
AU - Klaus, B.E.
PY - 2010/1/1
Y1 - 2010/1/1
N2 - We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the previous analysis of the problem is the so-called uniform rule. Thomson (1995b) proved that the uniform rule is the only rule satisfying pareto optimality, no-envy, one-sided population-monotonicity, and replication-invariance. Replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform rule (thomson, 1997a). Until now, the independence of replication-invariance from the other properties in these characterizations was an open problem. In this note we prove this independence by means of a single example.
AB - We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the previous analysis of the problem is the so-called uniform rule. Thomson (1995b) proved that the uniform rule is the only rule satisfying pareto optimality, no-envy, one-sided population-monotonicity, and replication-invariance. Replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform rule (thomson, 1997a). Until now, the independence of replication-invariance from the other properties in these characterizations was an open problem. In this note we prove this independence by means of a single example.
U2 - 10.2202/1935-1704.1650
DO - 10.2202/1935-1704.1650
M3 - Article
SN - 1555-0478
VL - 10
JO - The B.E. Journal of Theoretical Economics
JF - The B.E. Journal of Theoretical Economics
IS - 1
ER -