Voting Theory for Democracy
EUR 29.95
Printable PDF (2 MB) You can also download from Zenodo 291985 The summary papers "The solution to Arrow's difficulty in social welfare" (1997) and "Without time, no morality" (2002) also got updated versions in "DRGTPE" (2005)  best see the PDF there. Sheets 2018 (Older Sheets (in Word for Windows, zipped) Mathematica and books at Wolfram
Cover text ECONOMICS  BUSINESS  POLITICS  MATHEMATICS VOTING THEORY FOR DEMOCRACY provides the concepts and tools for democratic decision making. Voting is used not only in politics and government, but also in business  and not only in the shareholders' meetings but also in teams. Voting however can suffer from paradoxes. In some systems, it is possible that candidate A wins from B, B from C, and C from A again. This book explains and solves those paradoxes, and thereby it gives a clarity that was lacking up to now. The author proposes the new scheme of 'Pareto Majority' which combines the good properties of the older schemes proposed by Pareto, Borda and Condorcet, while it adds the notion of a (Brouwer) 'fixed point'. Many people will likely prefer this new scheme over Plurality voting which is currently the common practice. The literature on voting theory has suffered from some serious miscommunications in the last 50 years. Nobel Prize winning economists Kenneth Arrow and Amartya Sen created correct mathematical theorems, but gave incorrect verbal explanations. The author emphasises that there is a distinction between 'voting' and deciding. A voting field only becomes a decision by explicitly dealing with the paradoxes. Arrow and Sen did not solve the paradoxes and used them instead to conclude that it was 'impossible' to find a 'good' system. This however is a wrong approach. Once we understand the paradoxes, we can find the system that we want to use. This book develops the theory of games (with Rasch  Elo rating) to show that decisions can change, even dramatically, when candidates or items are added to the list or deleted from it. The use of the fixed point criterion however limits the impact of such changes, and if these occur, they are quite reasonable. Groups are advised, therefor, to spend time on establishing what budget they will vote on. You can benefit from this book also when you do not have the software. However, with the software, you will have an interactive environment in which you and your group can use the various voting schemes, or test them to decide which scheme better fits your purposes. The software is included in The Economics Pack  by the same author  which is an application of Mathematica, a system for doing mathematics with the computer. The Pack has users in many countries in the world. The Pack is available for Windows XP, Macintosh and Unix platforms and requires Mathematica 8.0.1 or later. It can be freely downloaded, but you need a licence to run it. 80% of this book is at an undergraduate level and 20% requires an advanced level. Developed, supported and published by:

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Warning: This book proves radical new ideas and must be read with care.
If you spend more than a cursory glance on the PDF then it is advisable
to get the hardcopy and continue reading from paper. I tend to focus my
research on misconceptions that lead society away from common sense, and
then I select pivots that cause crucially different points of view depending
on how the argument is resolved. Such a pivot only works well if the argumentation
gets proper attention. Reading Notes for VTFD, July 1 2018 
On Voting Theory for Democracy and The Economics Pack:
Listed in the Journal of Economic Literature, September 2001, Vol 39, no 3, JEL 20010960 Ron Shone, The Economic Journal, July 1998: "For anyone wishing to become very familiar with Mathematica, this is a useful package to have (...)" 
Papers w.r.t. voting are here. 
Type  Price  Description 
The book VTFD 

One copy of "Voting Theory for Democracy" (VTFD) Order 
Software 

See The Economics Pack (TEP) 
1st Edition, January/February 2001, ISBN 9080477435 (Legacy PDF, 4 MB, no longer in print)
3rd Edition, March 2011, ISBN 9789080477483 (Legacy PDF, 2 MB, no longer in print)
Erratum on VTFD 1st3rd editions, November 2011. Short Response for Voting Matters, Published in issue 30, 2013.