New axiomatizations of the Owen value

Songtao He (), Bingxin Yu () and Erfang Shan ()
Additional contact information
Songtao He: Shanghai University
Bingxin Yu: Shanghai University
Erfang Shan: Shanghai University

Theory and Decision, 2025, vol. 98, issue 3, No 2, 365 pages

Abstract: Abstract Differential marginality states that two players’ payoffs change by the same amount with respect to two games if their productivity (measured by the marginal contributions) changes by the same amount, that is, they are symmetric in the difference of these games. This principle can be applied to characterize the Owen value for games with coalition structure. In this paper we suggest two relaxations of differential marginality within unions by requiring that two players are either mutually dependent or necessary rather than symmetric in the difference of two games under consideration. Similarly, we also introduce two relaxations of differential marginality between unions. Based on these weak versions of differential marginality, we provide two new characterizations of the Owen value for games with coalition structure.

Keywords: TU-game; Owen value; Mutually dependent players; Necessary player; Disjointly productive players (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11238-024-10014-y Abstract (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:kap:theord:v:98:y:2025:i:3:d:10.1007_s11238-024-10014-y

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/11238/PS2

DOI: 10.1007/s11238-024-10014-y

Access Statistics for this article

Theory and Decision is currently edited by Mohammed Abdellaoui

More articles in Theory and Decision from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().