On the Banzhaf-like Value for Cooperative Games with Interval Payoffs

Chunqiao Tan, Wenrui Feng and Weibin Han
Additional contact information
Chunqiao Tan: School of Business, Central South University, Yuelu District, Changsha 410083, China
Wenrui Feng: School of Business, Central South University, Yuelu District, Changsha 410083, China
Weibin Han: School of Economics and Management, South China Normal University, Guangzhou Higher Education Mega Center, No. 378, Waihuan Xi Road, Guangzhou 510006, China

Mathematics, 2020, vol. 8, issue 3, 1-14

Abstract: By using Moore’s subtraction operator and a total order on the set of closed intervals, we introduce a new variation of the Banzhaf value for cooperative interval games called the interval Banzhaf-like value which may accommodate the shortcomings of the interval Banzhaf value. We first reveal the relation between this introduced value and the interval Banzhaf value. Then, we present two sets of properties that may be used to determine whether an interval value is median-indifferent to the interval Banzhaf-like value. Finally, in order to overcome the disadvantages of the interval Banzhaf-like value, we propose the contracted interval Banzhaf-like value and give an axiomatization of this proposed value.

Keywords: cooperative interval game; interval Banzhaf value; interval Banzhaf-like value; contracted interval Banzhaf-like value (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/3/372/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/3/372/ (text/html)

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:gam:jmathe:v:8:y:2020:i:3:p:372-:d:329632

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().