Title
The Weighted Surplus Division Value for Cooperative Games.
Abstract
The weighted surplus division value is defined in this paper, which allocates to each player his individual worth and then divides the surplus payoff with respect to the weight coefficients. This value can be characterized from three different angles. First, it can be obtained analogously to the scenario of getting the procedural value whereby the surplus is distributed among all players instead of among the predecessors. Second, endowing the exogenous weight to the surplus brings about the asymmetry of the distribution. We define the disweighted variance of complaints to remove the effect of the weight and prove the weighted surplus division value is the unique solution of an optimization model. Lastly, the paper offers axiomatic characterizations of the weighted surplus division value through proposing new properties, including the co-symmetry for zero-normalized game and individual equity.
Year
DOI
Venue
2019
10.3390/sym11091169
SYMMETRY-BASEL
Keywords
Field
DocType
cooperative games,weighted surplus division value,procedural interpretation,optimization implementation,axiomatization
Combinatorics,Mathematical economics,Axiom,Equity (finance),Asymmetry,Mathematics,Stochastic game
Journal
Volume
Issue
Citations 
11
9
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Hui Yang100.34
Wenna Wang230.81
Zhengsheng Ding300.34