Strategy-Proof Allotment Rules

Maximal Domain for Strategy-proof Rules in Allotment Economies

Supplementary Note for “ Coalitionally Strategy - Proof Rules in Allotment Economies with Homogeneous Indivisible Goods ” Kentaro Hatsumi

In this supplementary note, we provide the proof of Fact 1 and detailed explanations for Example 4, 5, and 6. The only if part of Fact 1 is proved by Sasaki (1997) and the if part is by Kureishi (2000). However, both papers have not been published. Thus, we provide the proof for completeness. In the explanations for Examples 4, 5, and 6, we provide tables that make it easy to check especially c...

Coalitionally strategy-proof rules in allotment economies with homogeneous indivisible goods

We consider the allotment problem of homogeneous indivisible goods among agents with single-peaked and risk-averse von NeumannMorgenstern expected utility functions. We establish that a rule satisfies coalitional strategy-proofness, same-sideness, and strong symmetry if and only if it is the uniform probabilistic rule. By constructing an example, we show that if same-sideness is replaced by res...

Coalitionally Strategy-proof Rules in Allotment Economies of Homogeneous Indivisible Goods

We consider the allotment problem of homogeneous indivisible goods among agents with single-peaked and risk-averse von Neumann-Morgenstern expected utility functions. We establish that a rule satisfies coalitional strategy-proofness, same-sideness, and strong symmetry if and only if it is the uniform probabilistic rule. By constructing an example, we show that if same-sideness is replaced by re...

Maximal Domain for Strategy-Proof Rules in Allotment Economies1

We consider the problem of allocating an amount of a perfectly divisible good among a group of n agents. We study how large a preference domain can be to allow for the existence of strategy-proof, symmetric, and efficient allocation rules when the amount of the good is a variable. This question is qualified by an additional requirement that a domain should include a minimally rich domain. We fi...