Research Catalog
Chance, strategy, and choice : an introduction to the mathematics of games and elections
- Title
- Chance, strategy, and choice : an introduction to the mathematics of games and elections / Samuel Bruce Smith, Saint Joseph's University, Philadelphia, PA, USA.
- Author
- Smith, Samuel B., 1966-
- Publication
- New York, NY, USA : Cambridge University Press, 2015.
Items in the Library & Off-site
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QA269 .S587 2015 | Off-site |
Holdings
Details
- Description
- xi, 379 pages : illustrations; 26 cm
- Summary
- "Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections: Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague-Grundy theorem and Arrow's impossibility theorem; Uses an integrative approach to probability, game, and social choice theory; Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies; Contains numerous exercises and examples of varying levels of difficulty; Requires only a high school mathematical background"--
- Subject
- Genre/Form
- Textbooks.
- Bibliography (note)
- Includes bibliographical references (pages 373-375) and index.
- Contents
- Machine generated contents note: 1. Introduction; 2. Games and elections; 3. Chance; 4. Strategy; 5. Choice; 6. Strategy and choice; 7. Choice and chance; 8. Chance and strategy; 9. Nash equilibria; 10. Proofs and counterexamples; 11. Laws of probability; 12. Fairness in elections; 13. Weighted voting; 14. Gambling games; 15. Zero-sum games; 16. Partial conflict games; 17. Take-away games; 18. Fairness and impossibility; 19. Paradoxes and puzzles in probability; 20. Combinatorial games; 21. Borda versus Condorcet; 22. The Sprague-Grundy theorem; 23. Arrow's impossibility theorem.
- ISBN
- 9781107084520 (hardback)
- 1107084520 (hardback)
- LCCN
- 2015003107
- 99967048295
- OCLC
- 901386665
- ocn901386665
- SCSB-5846197
- Owning Institutions
- Columbia University Libraries