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A Simple Characterization of Assignment Mechanisms on Set Constraints

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Main Author: Ping, Zhan
Format: Book
Language:English
Published: Springer 2023
Subjects:
EPS
PS
Online Access:https://link.springer.com/article/10.1007/s43069-023-00195-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8423
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spelling oai:localhost:PNK-84232023-05-09T01:41:25Z A Simple Characterization of Assignment Mechanisms on Set Constraints Ping, Zhan EPS PS CC BY We consider the problem of allocating divisible/indivisible goods to agents according to agents’ ordinal preferences. Hashimoto et al. [15] provided a nonalgorithmic and axiomatic characterization of well-studied probabilistic serial (PS) mechanism. Recently, Fujishige et al. [12] generalized the PS mechanism where goods are enlarged from a fixed set to a family of sets which is a polytope defined by a system of linear inequalities associated with submodular functions. The above extended PS (EPS) greatly improved the flexibility of allocations. Based on these two results, in this paper, we investigate the nonalgorithmic and axiomatic characterization of EPS. We show that the EPS rule is the only mechanism satisfying the ordinal fairness and a newly defined non-wastefulness. The submodularity plays a crucial role in our arguments. 2023-05-09T01:41:25Z 2023-05-09T01:41:25Z 2023 Book https://link.springer.com/article/10.1007/s43069-023-00195-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8423 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic EPS
PS
spellingShingle EPS
PS
Ping, Zhan
A Simple Characterization of Assignment Mechanisms on Set Constraints
description CC BY
format Book
author Ping, Zhan
author_facet Ping, Zhan
author_sort Ping, Zhan
title A Simple Characterization of Assignment Mechanisms on Set Constraints
title_short A Simple Characterization of Assignment Mechanisms on Set Constraints
title_full A Simple Characterization of Assignment Mechanisms on Set Constraints
title_fullStr A Simple Characterization of Assignment Mechanisms on Set Constraints
title_full_unstemmed A Simple Characterization of Assignment Mechanisms on Set Constraints
title_sort simple characterization of assignment mechanisms on set constraints
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s43069-023-00195-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8423
_version_ 1765445796550934528
score 8.891145

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