Ju, Yuan orcid.org/0000-0002-7541-9856, van den Brink, Rene and Funaki, Yukihiko (2013) Reconciling marginalism with egalitarianism:consistency, monotonicity, and implementation of egalitarian Shapley values. Social Choice and Welfare. pp. 693-714. ISSN 0176-1714
Abstract
One of the main issues in economic allocation problems is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide three different characterizations of egalitarian Shapley values being convex combinations of the Shapley value and the equal division solution. First, from the perspective of a variable player set, we show that all these solutions satisfy the same reduced game consistency. Second, on a fixed player set, we characterize this class of solutions using monotonicity properties. Finally, towards a strategic foundation, we provide a non-cooperative implementation for these solutions which only differ in the probability of breakdown at a certain stage of the game. These characterizations discover fundamental differences as well as intriguing connections between marginalism and egalitarianism.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2011, the authors. This content is Open Access and made available under a Creative Commons CC-BY-NC Licence. |
Dates: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Social Sciences (York) > Economics and Related Studies (York) |
Depositing User: | Pure (York) |
Date Deposited: | 19 Feb 2013 16:22 |
Last Modified: | 17 Oct 2024 08:29 |
Published Version: | https://doi.org/10.1007/s00355-011-0634-2 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1007/s00355-011-0634-2 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:75100 |
Download
Filename: art_10.1007_s00355_011_0634_2.pdf
Description: Reconciling marginalism with egalitarianism