1.Introduction.- 2.Simple Elections I.- 3. Simple Elections II - Condorcet's Method.- 4. Fair Elections; Polls; Amendments.- 5. Arrow’s Theorem and the Gibbard-Satterthwaite Theorem.- 6. Complex Elections.- 7. Cardinal Systems.- 8. Weighted Voting. References.
W. D. Wallis served as a Professor of Mathematics at Southern Illinois University, Carbondale, for 24 years up until his retirement in 2009. Before that he taught for 15 years at the University of Newcastle, Australia, and for 4 years at La Trobe University, Australia. His main areas of research have been in Combinatorial Mathematics and Graph Theory. He has also published some work in Computer Science and in Algebra. He has authored or co-authored fourteen books on Mathematics, together with some second editions, and edited nine books. He has published 268 research articles and book chapters.
From the book reviews:“This concise volume is an introduction to various voting schemes and electoral systems. … the book gives a good picture of the range of voting systems that exist and some of the reasons they are used in certain situations. It is most suitable for undergraduates with some knowledge of combinatorics and proof, who are beginning to study elections and voting.” (Matthew Davis, zbMATH, Vol. 1305, 2015)
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