EconPapers    
Economics at your fingertips  
 

Computability of simple games: A complete investigation of the sixty-four possibilities

Masahiro Kumabe and H. Reiju Mihara

Journal of Mathematical Economics, 2011, vol. 47, issue 2, 150-158

Abstract: Abstract 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 algorithmic 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 ones and noncomputable ones. This strongly suggests that computability is logically, as well as conceptually, unrelated to the conventional axioms.

Keywords: Voting; games; Axiomatic; method; Complete; independence; Turing; computability; Multi-criterion; decision-making (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304406811000073
Full text for ScienceDirect subscribers only

Related works:
Working Paper: Computability of simple games: A complete investigation of the sixty-four possibilities (2006) Downloads
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:eee:mateco:v:47:y:2011:i:2:p:150-158

Access Statistics for this article

Journal of Mathematical Economics is currently edited by Atsushi (A.) Kajii

More articles in Journal of Mathematical Economics from Elsevier
Bibliographic data for series maintained by Haili He ().

 
Page updated 2020-05-12
Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:150-158