On the Coalitional Rationality of the Banzhaf Value and Other Non-Efficient Semivalues - Applied Mathematics

AM > Vol.6 No.12, November 2015

Applied Mathematics

Volume 6, Issue 12 (November 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

On the Coalitional Rationality of the Banzhaf Value and Other Non-Efficient Semivalues ()

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Download as PDF (Size: 264KB) PP. 2069-2076

DOI: 10.4236/am.2015.612182 2,047 Downloads 2,605 Views Citations

Author(s)

Irinel Dragan

Affiliation(s)

University of Texas, Arlington, USA.

ABSTRACT

In the Inverse Set relative to a Semivalue, we are looking for a new game for which the Semivalue of the original game is coalitional rational. The problem is solved by means of the Power Game of the given game. The procedures of building the new game, as well as the case of the Banzhaf Value are illustrated by means of some examples.

KEYWORDS

Semivalues, Power Game, Power Core, Coalitional Rationality

Share and Cite:

Dragan, I. (2015) On the Coalitional Rationality of the Banzhaf Value and Other Non-Efficient Semivalues. Applied Mathematics, 6, 2069-2076. doi: 10.4236/am.2015.612182.

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