Computability of simple games: A complete investigation of the sixty-four possibilities
Masahiro Kumabe and
H. Reiju Mihara
MPRA Paper from University Library of Munich, Germany
Classify simple games into sixteen "types" in terms of the four conventional axioms: monotonicity, properness, strongness, and nonweakness. Further classify them into sixty-four classes in terms of finiteness (existence of a finite carrier) and computability. For each such class, we either show that it is empty or give an example of a game belonging to it. We observe that if a type contains an infinite game, then it contains both computable infinitegames and noncomputable ones. This strongly suggests that computability is logically, as well as conceptually, unrelated to the conventional axioms.
Keywords: Voting games; infinitely many players; axiomatic method; complete independence; algorithms; Turing computability; recursion theory (search for similar items in EconPapers)
JEL-codes: D90 C69 D71 C71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations View citations in EconPapers (2) Track citations by RSS feed
Downloads: (external link)
https://mpra.ub.uni-muenchen.de/440/1/MPRA_paper_440.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/4405/1/MPRA_paper_4405.pdf revised version (application/pdf)
https://mpra.ub.uni-muenchen.de/29000/1/MPRA_paper_29000.pdf revised version (application/pdf)
Journal Article: Computability of simple games: A complete investigation of the sixty-four possibilities (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:440
Access Statistics for this paper
More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Series data maintained by Joachim Winter ().