MARC状态：已编 文献类型：西文图书 浏览次数：21
- 题名/责任者:
- Chance, strategy, and choice : an introduction to the mathematics of games and elections / Samuel Bruce Smith, Saint Joseph's University, Philadelphia, PA, USA.
- 出版发行项:
- New York, NY, USA : Cambridge University Press, 2015.
- ISBN:
- 9781316028896
- ISBN:
- 9781107084520
- 载体形态项:
- 1 online resource (xi, 379 pages) : illustrations
- 个人责任者:
- Smith, Samuel B., 1966-
- 论题主题:
- Game theory-Textbooks.
- 论题主题:
- Games of chance (Mathematics)-Textbooks.
- 论题主题:
- MATHEMATICS / General.
- 中图法分类号:
- O225
- 一般附注:
- Description based on print version record.
- 书目附注:
- Includes bibliographical references (pages 373-375) and index.
- 内容附注:
- 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.
- 摘要附注:
- "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"--
- 随书光盘:
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