Kumabe, Masahiro and Mihara, H. Reiju (2006): Computability of simple games: A complete investigation of the sixtyfour possibilities.
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Abstract
Classify simple games into sixteen "types" in terms of the four conventional axioms: monotonicity, properness, strongness, and nonweakness. Further classify them into sixtyfour 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.
Item Type:  MPRA Paper 

Original Title:  Computability of simple games: A complete investigation of the sixtyfour possibilities 
Language:  English 
Keywords:  Voting games; infinitely many players; axiomatic method; complete independence; algorithms; Turing computability; recursion theory 
Subjects:  D  Microeconomics > D9  Intertemporal Choice > D90  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C69  Other D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice ; Clubs ; Committees ; Associations C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games 
Item ID:  440 
Depositing User:  H. Reiju Mihara 
Date Deposited:  13 Oct 2006 
Last Modified:  30 Sep 2019 01:47 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/440 
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