The Mathematics of Elections and Voting / / by W.D. Wallis
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| Autore: |
Wallis W.D
|
| Titolo: |
The Mathematics of Elections and Voting / / by W.D. Wallis
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (X, 96 p.) |
| Disciplina: | 324.6 |
| Soggetto topico: | Probabilities |
| Political economy | |
| Population | |
| Game theory | |
| Political theory | |
| Mathematical models | |
| Probability Theory and Stochastic Processes | |
| International Political Economy | |
| Population Economics | |
| Game Theory, Economics, Social and Behav. Sciences | |
| Political Theory | |
| Mathematical Modeling and Industrial Mathematics | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | The Mathematics of Elections and Voting takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections. . |
| Titolo autorizzato: | The Mathematics of Elections and Voting |
| ISBN: | 3-319-09810-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299982503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |