Volume 52, Number 3, July–September 2018
|Page(s)||935 - 942|
|Published online||26 October 2018|
A new axiomatization of a class of equal surplus division values for TU games
School of Management, Guangzhou University,
510006, P.R. China.
2 School of Economics and Management, Fuzhou University, Fuzhou 350108, P.R. China.
* Corresponding author: email@example.com
Accepted: 31 March 2017
In this paper, we propose a variation of weak covariance named as non-singleton covariance, requiring that changing the worth of a non-singleton coalition in a TU game affects the payoffs of all players equally. We establish that this covariance is characteristic for the convex combinations of the equal division value and the equal surplus division value, together with efficiency and a one-parameterized axiom treating a particular kind of players specially. As special cases, parallel axiomatizations of the two values are also provided.
Mathematics Subject Classification: 91A12
Key words: TU game / equal division value / equal surplus division value / nullifying player / dummifying player
© EDP Sciences, ROADEF, SMAI 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.