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Voting Theory for Democracy
Author

Thomas Cool
Organization: Thomas Cool Consultancy & Econometrics
URL: http://www.dataweb.nl/~cool
Book information

Publisher: http://www.dataweb.nl/~cool
Copyright year: 2007
ISBN: 978-90-804774-5-2
Pages: 342
Out of print?: N
Additional cataloguing information: Second Edition
Contents

Voting theory and programs | Getting started | Items, voters, preferences and morals | Basic schemes | Combined schemes | Strategic voting | Probability | Measuring utility | Theoretical base | Evaluation of Arrow's Theorem | Conclusion
Description

The book develops the theory from first basics to an advanced level, using Mathematica for the steps in the discussion. Confusions around Arrow's Theorem are clarified, and the Borda Fixed Point method is developed as an attractive method that compromises between the Borda and Condorcet methods. The book has been written so that it can be used "as is", but when one also has the software (that is included in The Economics Pack from the same author and publisher) then one has an interactive working or study environment where the software takes away the tediousness of voting calculations.

Note: The software has been updated for Mathematica 5.2.
Subjects

*Applied Mathematics > Game Theory
*Arts and Humanities > History and Philosophy of Mathematics
*Business and Economics
*Engineering > Electrical Engineering
*Mathematica Technology > Application Packages > Additional Applications > Cool Economics
*Mathematics > Discrete Mathematics > Combinatorics
*Mathematics > Discrete Mathematics > Graph Theory
*Mathematics > Foundations of Mathematics > Logic
*Mathematics > Probability and Statistics
*Social Science > Sociology and Psychology
Keywords

Social Welfare, Voting, Game Theory, Decision Theory, Item Response Theory, Rating, Ranking, Matching, Risk, Certainty Equivalence, Arrow's Theorem, Preferences, Deontic Logic, Borda, Condorcet, Plurality, Equity, Fairness, Veto, Efficiency
Related items

*Cool Economics: Introduction   [in MathSource: Packages and Programs]
URL

http://www.dataweb.nl/~cool
Downloads

VotingTheoryForDemocracy2ndEdition.zip (733.2 KB) - ZIP archive [for Mathematica 5.2]


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