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Weakly Fair Allocations and Strategy-Proofness

Andersson, Tommy LU (2008) In Review of Economic Design 11. p.321-338
Abstract
This paper investigates the problem of allocating two types of indivisible objects among a group of agents when a priority-order must be respected and only restricted monetary transfers are allowed. Since the existence of a fair (as in envy-free) allocation is not generally guaranteed, due to the restrictions on the money transfers, the concept of fairness is weakened, and a new concept of fairness is introduced. This concept is called weak fairness. This paper defines an allocation rule that implements weakly fair allocations and demonstrates that it is coalitionally strategy-proof. In fact, under a mild regulatory condition and quasi-linear utility functions, it is demonstrated that this is the only coalitionally strategy-proof... (More)
This paper investigates the problem of allocating two types of indivisible objects among a group of agents when a priority-order must be respected and only restricted monetary transfers are allowed. Since the existence of a fair (as in envy-free) allocation is not generally guaranteed, due to the restrictions on the money transfers, the concept of fairness is weakened, and a new concept of fairness is introduced. This concept is called weak fairness. This paper defines an allocation rule that implements weakly fair allocations and demonstrates that it is coalitionally strategy-proof. In fact, under a mild regulatory condition and quasi-linear utility functions, it is demonstrated that this is the only coalitionally strategy-proof allocation rule that implements a weakly fair allocation. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Indivisibles, fairness, weak fairness, strategy-pr
in
Review of Economic Design
volume
11
pages
321 - 338
publisher
Springer
external identifiers
  • scopus:39149141862
ISSN
1434-4742
language
English
LU publication?
yes
id
7ff8fdaa-33e8-4534-8f62-94ca302cb4d0 (old id 1385257)
date added to LUP
2016-04-04 10:17:31
date last changed
2022-01-29 20:04:30
@article{7ff8fdaa-33e8-4534-8f62-94ca302cb4d0,
  abstract     = {{This paper investigates the problem of allocating two types of indivisible objects among a group of agents when a priority-order must be respected and only restricted monetary transfers are allowed. Since the existence of a fair (as in envy-free) allocation is not generally guaranteed, due to the restrictions on the money transfers, the concept of fairness is weakened, and a new concept of fairness is introduced. This concept is called weak fairness. This paper defines an allocation rule that implements weakly fair allocations and demonstrates that it is coalitionally strategy-proof. In fact, under a mild regulatory condition and quasi-linear utility functions, it is demonstrated that this is the only coalitionally strategy-proof allocation rule that implements a weakly fair allocation.}},
  author       = {{Andersson, Tommy}},
  issn         = {{1434-4742}},
  keywords     = {{Indivisibles; fairness; weak fairness; strategy-pr}},
  language     = {{eng}},
  pages        = {{321--338}},
  publisher    = {{Springer}},
  series       = {{Review of Economic Design}},
  title        = {{Weakly Fair Allocations and Strategy-Proofness}},
  volume       = {{11}},
  year         = {{2008}},
}