Naive decision making : mathematics applied to the social world
著者
書誌事項
Naive decision making : mathematics applied to the social world
Cambridge University Press, 2008
- : hbk
- : pbk
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注記
Bibliography: p. 366-369
内容説明・目次
内容説明
How should one choose the best restaurant to eat in? Can one really make money at gambling? Or predict the future? Naive Decision Making presents the mathematical basis for making decisions where the outcome may be uncertain or the interests of others have to taken into consideration. Professor Koerner takes the reader on an enjoyable journey through many aspects of mathematical decision making, with pithy observations, anecdotes and quotations. Topics include probability, statistics, Arrow's theorem, Game Theory and Nash equilibrium. Readers will also gain a great deal of insight into mathematics in general and the role it can play within society. Intended for those with elementary calculus, this book is ideal as a supplementary text for undergraduate courses in probability, game theory and decision making. Engaging and intriguing, it will also appeal to all those of a mathematical mind. To aid understanding, many exercises are included, with solutions available online.
目次
- Introduction
- 1. A day at the races
- 2. The long run
- 3. The virtue of insurance
- 4. Passing the time
- 5. A pack of cards
- 6. Other people
- 7. Simple games
- 8. Points of agreement
- 9. Long duels
- 10. A night at the casino
- 11. Prophecy
- 12. Final reflections
- A. The logarithm
- B. Cardano
- C. Huygens's problems
- D. Hints on pronunciation
- Index.
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