Machover, Moshé and Terrington, Simon (2013): Mathematical structures of simple voting games.
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Abstract
We address simple voting games (SVGs) as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This enables us to uncover the underlying unity of the basic operations involving SVGs.
Item Type: | MPRA Paper |
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Original Title: | Mathematical structures of simple voting games |
Language: | English |
Keywords: | Simple games; Lattice of simple games; Category |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games |
Item ID: | 43939 |
Depositing User: | Moshé Machover |
Date Deposited: | 22 Jan 2013 12:22 |
Last Modified: | 28 Sep 2019 10:34 |
References: | [1] Steve Awodey 2006: Category Theory; Oxford: Oxford University Press. [2] Raymond Balbes and Philip Dwinger 1975 (reprinted 2011): Distributive Lattices; Abstract Space Publishing. [3] Dan S Felsenthal and Moshe Machover 1998: The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes; Cheltenham: Edward Elgar. [4] John M Lee 2010: Introduction to Topological Manifolds; New York: Springer. [5] Saunders Mac Lane 1998: Categories for the Working Mathematician, second edition; New York: Springer. [6] Colin McLarty 1992: Elementary Categories, Elementary Toposes; Oxford: Oxford University Press. [7] Lloyd S Shapley 1962: \Simple games: An outline of the descriptive theory", Behavioral Science 7 pp. 59{66. [8] Alan D Taylor and William S Zwicker 1999: Simple Games: Desirability Relations, Trading, Pseudoweightings; Princeton: Princeton University Press. 22 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/43939 |