Amplitude of weighted representation of voting games with several levels of approval

Bertrand Mbama Engoulou () and Lawrence Diffo Lambo
Additional contact information
Bertrand Mbama Engoulou: The University of Douala
Lawrence Diffo Lambo: Ecole Normale Superieure

International Journal of Game Theory, 2019, vol. 48, issue 4, No 5, 1137 pages

Abstract: Abstract In this paper, we evaluate in the context of weighted (j, k)-simple games, the maximal degree of perturbations which may be allowed, in voters weights and/or in the quotas, without changing the structure of the game. For this purpose, we extend on (j, k)-simple games the notion of amplitude well known for ordinary simple games. Recall that, (j, k)-simple games provide a model of decision making in which each voter has j levels of approval (inputs), while k levels of approval are permitted as collective decision (outputs). Here, the j inputs are qualitatively ordered, same are the k outputs. Ordinary simple games correspond to the particular case $$j=k=2$$ j = k = 2 . Our results generalize those obtained by Freixas and Puente (Qüestiió 23(1):43–60, 1999) on ordinary simple games. We illustrate by computing the amplitude of some real world examples like the United Nations Security Council which is a (3, 2)-simple game.

Keywords: (j; k)-simple games; Weighted games; Amplitude; Tolerance (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00182-019-00696-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:jogath:v:48:y:2019:i:4:d:10.1007_s00182-019-00696-y

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-019-00696-y

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().