Kumabe, Masahiro and Mihara, H. Reiju (2006): Computability of simple games: A complete investigation of the sixty-four possibilities.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Computability of simple games: A complete investigation of the sixty-four possibilities|
|Keywords:||Voting games; infinitely many players; axiomatic method; complete independence; algorithms; Turing computability; recursion theory|
|Subjects:||D - Microeconomics > D9 - Intertemporal Choice and Growth > D90 - General
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C69 - Other
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice; Clubs; Committees; Associations
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
|Depositing User:||H. Reiju Mihara|
|Date Deposited:||13. Oct 2006|
|Last Modified:||18. Feb 2013 18:14|
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