Epistemic game theory: reasoning and choice
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 561 S. graph. Darst. |
| ISBN: | 9781107401396 9781107008915 |
Internformat
MARC
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| 020 | |a 9781107008915 |c hardback ed. |9 978-1-107-00891-5 | ||
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| 100 | 1 | |a Perea, Andrés |d 1970- |e Verfasser |0 (DE-588)12861627X |4 aut | |
| 245 | 1 | 0 | |a Epistemic game theory |b reasoning and choice |c Andrés Perea |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2012 | |
| 300 | |a XVIII, 561 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Evolutionäre Spieltheorie |0 (DE-588)4732282-2 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-024840371 | ||
Datensatz im Suchindex
| _version_ | 1804148967855882240 |
|---|---|
| adam_text | Contents
List of
figures
page
xi
List of tables
xiii
Acknowledgments
xvii
1
Introduction
1
Part I Standard beliefs in static games
2
Belief in the opponents rationality
13
2.1
Beliefs about the opponent s choice
13
2.2
Utility functions
17
2.3
More than two players
21
2.4
Choosing rationally
25
2.5
Strictly dominated choices
30
2.6
Belief in the opponents rationality
37
2.7
Graphical method
45
2.8
Algorithm
46
2.9
Proofs
50
Practical problems
56
Theoretical problems
62
Literature
63
3
Common belief in rationality
68
3.1
Beliefs about the opponents beliefs
68
3.2
Belief hierarchies
80
3.3
Epistemic
model
85
3.4
Common belief in rationality
91
3.5
Graphical method
95
3.6
Existence
98
3.7
Algorithm
102
vu
Contents
3.8 Order
independence
110
3.9
Proofs
112
Practical problems
118
Theoretical problems
123
Literature
124
4
Simple belief hierarchies
134
4.1
Simple belief hierarchies
134
4.2
Nash equilibrium
146
4.3
Computational method
150
4.4
Belief that opponents hold correct beliefs
161
4.5
Proofs
167
Practical problems
171
Theoretical problems
175
Literature
177
Part
Π
Lexicographic beliefs in static games
Primary belief in the opponent s rationality
187
5.1
Cautious reasoning about the opponent
187
5.2
Lexicographic beliefs
190
5.3
Belief hierarchies and types
195
5.4
Cautious types
199
5.5
Primary belief in the opponent s rationality
200
5.6
Common full belief in primary belief in rationality
202
5.7
Existence
210
5.8
Weakly dominated choices
213
5.9
Algorithm
215
5.10
Proofs
220
Practical problems
234
Theoretical problems
239
Literature
241
Respecting the opponent s preferences
250
6.1
Respecting the opponent s preferences
250
6.2
Common full belief in respect of preferences
253
6.3
Existence
258
6.4
Why elimination of choices does not work
261
6.5
Preference restrictions and likelihood
orderings
263
6.6
Algorithm
269
6.7
Order independence
276
6.8
Proofs
278
Practical problems
292
Contents ix
Theoretical problems
296
Literature
298
7
Assuming the opponent s rationality
301
7.1
Assuming the opponent s rationality
301
7.2
Common assumption of rationality
305
7.3
Algorithm
314
7.4
Order dependence
320
7.5
Proofs
321
Practical problems
332
Theoretical problems
337
Literature
339
Part III Conditional beliefs in dynamic games
8
Belief in the opponents future rationality
347
8.1
Belief revision
347
8.2
Dynamic games
350
8.3
Conditional beliefs
358
8.4
Epistemic
model
366
8.5
Belief in the opponents future rationality
369
8.6
Common belief in future rationality
375
8.7
Existence
379
8.8
Algorithm
383
8.9
Order independence
392
8.10
Backwards order of elimination
397
8.11
Backward induction
410
8.12
Games with unobserved past choices
419
8.13
Bayesian updating
424
8.14
Proofs
428
Practical problems
447
Theoretical problems
453
Literature
454
9
Strong belief in the opponents rationality
468
9.1
Strong belief in the opponents rationality
468
9.2
Common strong belief in rationality
473
9.3
Algorithm
483
9.4
Comparison with backward dominance procedure
493
9.5
Order dependence
501
9.6
Rationality
orderings
503
9.7
Bayesian updating
514
9.8
Proofs
515
Contents
Practical problems
537
Theoretical problems
543
Literature
545
Bibliography
552
Index
559
|
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| author | Perea, Andrés 1970- |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Psychologie Mathematik Wirtschaftswissenschaften |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV039983076 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:15:33Z |
| institution | BVB |
| isbn | 9781107401396 9781107008915 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024840371 |
| oclc_num | 785858915 |
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| physical | XVIII, 561 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
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| publisher | Cambridge Univ. Press |
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| spelling | Perea, Andrés 1970- Verfasser (DE-588)12861627X aut Epistemic game theory reasoning and choice Andrés Perea 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 XVIII, 561 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Evolutionäre Spieltheorie (DE-588)4732282-2 gnd rswk-swf Evolutionäre Spieltheorie (DE-588)4732282-2 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024840371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Perea, Andrés 1970- Epistemic game theory reasoning and choice Evolutionäre Spieltheorie (DE-588)4732282-2 gnd |
| subject_GND | (DE-588)4732282-2 |
| title | Epistemic game theory reasoning and choice |
| title_auth | Epistemic game theory reasoning and choice |
| title_exact_search | Epistemic game theory reasoning and choice |
| title_full | Epistemic game theory reasoning and choice Andrés Perea |
| title_fullStr | Epistemic game theory reasoning and choice Andrés Perea |
| title_full_unstemmed | Epistemic game theory reasoning and choice Andrés Perea |
| title_short | Epistemic game theory |
| title_sort | epistemic game theory reasoning and choice |
| title_sub | reasoning and choice |
| topic | Evolutionäre Spieltheorie (DE-588)4732282-2 gnd |
| topic_facet | Evolutionäre Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024840371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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