Naive decision making: mathematics applied to the social world
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 373 S. graph. Darst. |
| ISBN: | 9780521516167 0521516161 9780521731638 0521731631 |
Internformat
MARC
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| 100 | 1 | |a Körner, T. W. |d 1946- |e Verfasser |0 (DE-588)120225379 |4 aut | |
| 245 | 1 | 0 | |a Naive decision making |b mathematics applied to the social world |c T. W. Körner |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
| 300 | |a XV, 373 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Decision making |x Mathematical models | |
| 650 | 4 | |a Statistical decision | |
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Datensatz im Suchindex
| _version_ | 1804138614860283904 |
|---|---|
| adam_text | Contents
Introduction page xi
1 A day at the races 1
1.1 Money for nothing 1
1.2 The ideal bookmaker 5
1.3 Negative money 9
1.4 Probability and expectation 10
1.5 Back to the races 15
1.6 Betting last at the tote 19
1.7 Betting first 25
1.8 Real race-tracks 31
2 The long run 34
2.1 The laws of probability 34
2.2 Cards, dice and coin tossing 38
2.3 Random variables 43
2.4 Independence 49
2.5 A law of large numbers 60
2.6 A long day at the races 71
2.7 The two-horse race 78
3 The vice of gambling and the virtue of insurance 83
3.1 Bernard Shaw 83
3.2 Annuities 86
3.3 Smallpox 93
3.4 Should we inoculate? 99
3.5 Utility and Jensen s inequality 103
4 Passing the time 111
4.1 The three towers 111
vu
viii Contents
113
120
128
133
140
148
148
150
153
159
166
176
176
183
189
195
195
199
204
209
213
216
221
221
227
230
233
236
. 240
249
249
252
257
267
271
277
282
282
286
10.3 Difference and differential equations 292
4.2 Euclid s algorithm
4.3 Arithmetic modulo n
4.4 Arithmetic modulo p
4.5 Arithmetic modulo pq
4.6 Mr Jonas entertains
5 A pack of cards
5.1 Find the largest
5.2 Records
5.3 How to choose a restaurant
5.4 Back to sorting
5.5 Shortest paths
6 Other people
6.1 Marrying
6.2 Voting
6.3 Preferring
7 Simple games
7.1 Scissors, Paper, Stone
7.2 Scissors, Paper
7.3 Can we generalise?
7.4 Morra
7.5 Can we generalise further?
7.6 A noisy duel
8 Points of agreement
8.1 An evening out
8.2 Technical points
8.3 What about reality?
8.4 Fixed points
8.5 Nash equilibrium
8.6 Hawks, doves and others
9 Long duels
9.1 A, Band C
9.2 The three-sided duel
9.3 One-person duels
9.4 HHH
9.5 Tit for tat
9.6 Foundational matters
10 A night at the casino
10.1 How to gamble if you must
10.2 Boldness be my friend
Contents ix
10.4 The casino s view 298
10.5 A flutter on the lottery 308
10.6 Life is a lottery 316
11 Prophecy 321
11.1 Coin tossing 321
11.2 A needle in a haystack 324
11.3 Tchebychev improved 326
11.4 A better needle? 331
12 Final reflections 335
12.1 First the music, then the words 335
12.2 Mathematics and decision making 341
Appendix A The logarithm 345
Appendix B Cardano 351
Appendix C Huygens s problems 358
Appendix D Hints on pronunciation 364
Bibliography 366
Index 370
|
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| discipline | Soziologie Mathematik |
| edition | 1. publ. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:00Z |
| institution | BVB |
| isbn | 9780521516167 0521516161 9780521731638 0521731631 |
| language | English |
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| physical | XV, 373 S. graph. Darst. |
| publishDate | 2008 |
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| spelling | Körner, T. W. 1946- Verfasser (DE-588)120225379 aut Naive decision making mathematics applied to the social world T. W. Körner 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2008 XV, 373 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Decision making Mathematical models Statistical decision Statistische Entscheidungstheorie (DE-588)4077850-2 gnd rswk-swf Statistische Entscheidungstheorie (DE-588)4077850-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017115494&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Körner, T. W. 1946- Naive decision making mathematics applied to the social world Mathematisches Modell Decision making Mathematical models Statistical decision Statistische Entscheidungstheorie (DE-588)4077850-2 gnd |
| subject_GND | (DE-588)4077850-2 |
| title | Naive decision making mathematics applied to the social world |
| title_auth | Naive decision making mathematics applied to the social world |
| title_exact_search | Naive decision making mathematics applied to the social world |
| title_full | Naive decision making mathematics applied to the social world T. W. Körner |
| title_fullStr | Naive decision making mathematics applied to the social world T. W. Körner |
| title_full_unstemmed | Naive decision making mathematics applied to the social world T. W. Körner |
| title_short | Naive decision making |
| title_sort | naive decision making mathematics applied to the social world |
| title_sub | mathematics applied to the social world |
| topic | Mathematisches Modell Decision making Mathematical models Statistical decision Statistische Entscheidungstheorie (DE-588)4077850-2 gnd |
| topic_facet | Mathematisches Modell Decision making Mathematical models Statistical decision Statistische Entscheidungstheorie |
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