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Procedural Implementation and Axiomatization of the Weighted Nonseparable Cost Value
Joint Authors
Yang, Hui
Wang, Wenna
Ding, Zhengsheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The paper defines a new value called the weighted nonseparable cost value (weighted-NSC value), which divides the nonseparable cost on the ground of an exogenous attached weight and compromises egalitarianism and utilitarianism of a value flexibly.
First, we construct an optimization model to minimize the deweighted variance of complaint and define its optimal solution to be the weighted-NSC value.
Second, a process is set up to acquire the weighted-NSC value, which enlarges the traditional procedural values.
In the process, one player’s marginal contribution is divided up by all participants rather than merely restricted within his precursors.
Lastly, adopting the weight in defining a value destructs the classical symmetry.
This promotes the definition of ω-symmetry for the grand-marginal normalized game to defend against the effect of weight and axiomatically sculptures the weighted-NSC value.
Dual dummifying player property is also applied to characterize the new defined value.
American Psychological Association (APA)
Yang, Hui& Wang, Wenna& Ding, Zhengsheng. 2020. Procedural Implementation and Axiomatization of the Weighted Nonseparable Cost Value. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195322
Modern Language Association (MLA)
Yang, Hui…[et al.]. Procedural Implementation and Axiomatization of the Weighted Nonseparable Cost Value. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1195322
American Medical Association (AMA)
Yang, Hui& Wang, Wenna& Ding, Zhengsheng. Procedural Implementation and Axiomatization of the Weighted Nonseparable Cost Value. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195322