Game theory and partial differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications
volume 31 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 211 Seiten Illustrationen, Diagramme |
| ISBN: | 9783110619256 |
Internformat
MARC
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| 100 | 1 | |a Blanc, Pablo |e Verfasser |0 (DE-588)1192515951 |4 aut | |
| 245 | 1 | 0 | |a Game theory and partial differential equations |c Pablo Blanc, Julio Daniel Rossi |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a XVII, 211 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications |v volume 31 | |
| 650 | 0 | 7 | |a Laplace-Operator |0 (DE-588)4166772-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spieltheorie |0 (DE-588)4056243-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Laplace-Operator |0 (DE-588)4166772-4 |D s |
| 689 | 0 | 2 | |a Spieltheorie |0 (DE-588)4056243-8 |D s |
| 689 | 0 | 3 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rossi, Julio D. |d 1969- |e Verfasser |0 (DE-588)1161566694 |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-031555271 | ||
Datensatz im Suchindex
| _version_ | 1804180537072418816 |
|---|---|
| adam_text | CONTENTS
PREFACE
*
VII
ACKNOWLEDGMENT
*
XIII
1
1.1
1.2
1.3
1.4
1.5
RANDOM
WALKS
AND
THE
LAPLACIAN
*
1
THE
PROBABILITY
OF
HITTING
THE
EXIT
AND
HARMONIC
FUNCTIONS
*
1
COUNTING
THE
NUMBER
OF
STEPS
NEEDED
TO
REACH
THE
EXIT
*
5
ANISOTROPIC
MEDIA
*
6
THE
HEAT
EQUATION
*
6
COMMENTS
*
7
2
2.1
2.2
2.3
2.4
A
FIRST
GLIMPSE
OF
THE
TUG-OF-WAR
GAMES
*
9
DESCRIPTION
OF
THE
GAME
-----
9
THE
OO-LAPLACIAN
AND
THE
BEST
LIPSCHITZ
EXTENSION
PROBLEM
-----
12
GAME
VALUE
CONVERGENCE
-----
14
COMMENTS
-----
16
3
3.1
3.2
3.3
3.4
3.5
TUG-OF-WAR
WITH
NOISE
*
19
DESCRIPTION
OF
THE
GAME
-----20
DYNAMIC
PROGRAMMING
PRINCIPLE
-----22
GAME
VALUE
CONVERGENCE
*
28
GAME
WITH
RUNNING
PAYOFF
-----
40
COMMENTS
-----42
4
4.1
4.2
4.3
4.4
4.5
TUG-OF-WAR
-----
43
DYNAMIC
PROGRAMMING
PRINCIPLE
*
43
GAME
VALUE
CONVERGENCE
*
46
GAME
WITH
RUNNING
PAYOFF
*
48
A
GAME
WITHOUT
VALUE
*
48
COMMENTS
*
49
5
5.1
5.1.1
5.1.2
5.2
5.2.1
5.2.2
5.2.3
MIXED
BOUNDARY
CONDITIONS
AND
THE
OBSTACLE
PROBLEM
*
51
MIXED
BOUNDARY
CONDITIONS
AND
TUG-OF-WAR
GAMES
-----
51
DESCRIPTION
OF
THE
GAME
-----
51
GAME
VALUE
CONVERGENCE
*
52
THE
OBSTACLE
PROBLEM
FOR
TUG-OF-WAR
GAMES
-----
60
DESCRIPTION
OF
THE
GAME
-----
62
DYNAMIC
PROGRAMMING
PRINCIPLE
-----
63
GAME
VALUE
CONVERGENCE
*
65
5.2.4
5.3
CONVERGENCE
OF
THE
CONTACT
SETS
*
67
COMMENTS
*
69
6
6.1
6.2
6.3
6.4
MAXIMAL
OPERATORS
*
71
UNBALANCED
TUG-OF-WAR
GAMES
WITH
NOISE
-----
74
DYNAMIC
PROGRAMMING
PRINCIPLE
*
76
GAME
VALUE
CONVERGENCE
*
90
COMMENTS
*
99
7
7.1
7.1.1
7.1.2
7.1.3
7.2
7.2.1
7.3
GAMES
FOR
EIGENVALUES
OF
THE
HESSIAN
*
101
A
RANDOM
WALK
FOR
A/
*
101
PRELIMINARIES
ON
VISCOSITY
SOLUTIONS
-----
105
DESCRIPTION
OF
THE
GAME
*
106
GEOMETRIC
CONDITIONS
ON
DQ
*
112
GAMES
FOR
PUCCI
*
S
OPERATORS
*
113
PROPERTIES
OF
THE
GAME
VALUES
AND
CONVERGENCE
*
115
COMMENTS
-----
126
8
8.1
8.1.1
8.1.2
8.1.3
8.2
8.2.1
8.2.2
8.3
8.3.1
8.3.2
8.4
PARABOLIC
PROBLEMS
*
127
GAMES
FOR
THE
PARABOLIC
P-LAPLACIAN
*
127
VISCOSITY
SOLUTIONS
FOR
PARABOLIC
PROBLEMS
-----
127
(P,
E)-PARABOLIC
FUNCTIONS
AND
TUG-OF-WAR
GAMES
*
128
GAME
VALUE
CONVERGENCE
*
132
GAMES
FOR
PARABOLIC
PROBLEMS
WITH
EIGENVALUES
OF
THE
HESSIAN
*
139
PRELIMINARIES
ON
VISCOSITY
SOLUTIONS
-----
142
PARABOLIC
RANDOM
WALK
FOR
A;
-----
143
ASYMPTOTIC
BEHAVIOR
AS
T
-
CO
*
151
PDE
ARGUMENTS
*
154
PROBABILISTIC
ARGUMENTS
*
160
COMMENTS
*
167
9
9.1
9.1.1
9.1.2
9.1.3
9.2
9.2.1
9.2.2
9.2.3
9.2.4
9.3
FREE
BOUNDARY
PROBLEMS
*
169
GRADIENT
CONSTRAINTS
-----
169
PLAY
OR
SELL
THE
TURN
TUG-OF-WAR
*
170
DYNAMIC
PROGRAMMING
PRINCIPLE
*
172
GAME
VALUE
CONVERGENCE
-----
175
A
FREE
BOUNDARY
PROBLEM
*
181
VISCOSITY
SOLUTIONS
*
183
PAY
OR
LEAVE
TUG-OF-WAR
*
184
DYNAMIC
PROGRAMMING
PRINCIPLE
*
186
GAME
VALUE
CONVERGENCE
-----
186
COMMENTS
*
191
A
A.L
A.1.1
A.L.
2
A.1.3
A.2
A.3
VISCOSITY
SOLUTIONS
*
193
BASIC
DEFINITIONS
*
193
ELLIPTIC
PROBLEMS
*
193
PARABOLIC
PROBLEMS
*
196
DIRICHLET
BOUNDARY
CONDITIONS
*
200
UNIQUENESS
*
200
EXISTENCE
*
201
B
B.L
B.2
PROBABILITY
THEORY
*
203
STOCHASTIC
PROCESSES
*
203
OPTIONAL
STOPPING
THEOREM
*
204
BIBLIOGRAPHY
*
207
NOTATIONS
*
213
INDEX
*
215
|
| any_adam_object | 1 |
| author | Blanc, Pablo Rossi, Julio D. 1969- |
| author_GND | (DE-588)1192515951 (DE-588)1161566694 |
| author_facet | Blanc, Pablo Rossi, Julio D. 1969- |
| author_role | aut aut |
| author_sort | Blanc, Pablo |
| author_variant | p b pb j d r jd jdr |
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| bvnumber | BV046175623 |
| classification_rvk | SK 860 SK 540 |
| ctrlnum | (OCoLC)1128841579 (DE-599)DNB1175756695 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV046175623 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:37:20Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110619256 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031555271 |
| oclc_num | 1128841579 |
| open_access_boolean | |
| owner | DE-83 DE-634 DE-20 DE-703 DE-11 |
| owner_facet | DE-83 DE-634 DE-20 DE-703 DE-11 |
| physical | XVII, 211 Seiten Illustrationen, Diagramme |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter series in nonlinear analysis and applications |
| series2 | De Gruyter series in nonlinear analysis and applications |
| spelling | Blanc, Pablo Verfasser (DE-588)1192515951 aut Game theory and partial differential equations Pablo Blanc, Julio Daniel Rossi Berlin ; Boston De Gruyter [2019] © 2019 XVII, 211 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier De Gruyter series in nonlinear analysis and applications volume 31 Laplace-Operator (DE-588)4166772-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Laplace-Operator (DE-588)4166772-4 s Spieltheorie (DE-588)4056243-8 s Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s DE-604 Rossi, Julio D. 1969- Verfasser (DE-588)1161566694 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-062179-2 Erscheint auch als Online-Ausgabe, ePUB 978-3-11-061932-4 De Gruyter series in nonlinear analysis and applications volume 31 (DE-604)BV005530011 31 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031555271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blanc, Pablo Rossi, Julio D. 1969- Game theory and partial differential equations De Gruyter series in nonlinear analysis and applications Laplace-Operator (DE-588)4166772-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4166772-4 (DE-588)4044779-0 (DE-588)4128900-6 (DE-588)4056243-8 |
| title | Game theory and partial differential equations |
| title_auth | Game theory and partial differential equations |
| title_exact_search | Game theory and partial differential equations |
| title_full | Game theory and partial differential equations Pablo Blanc, Julio Daniel Rossi |
| title_fullStr | Game theory and partial differential equations Pablo Blanc, Julio Daniel Rossi |
| title_full_unstemmed | Game theory and partial differential equations Pablo Blanc, Julio Daniel Rossi |
| title_short | Game theory and partial differential equations |
| title_sort | game theory and partial differential equations |
| topic | Laplace-Operator (DE-588)4166772-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Laplace-Operator Partielle Differentialgleichung Nichtlineare partielle Differentialgleichung Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031555271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005530011 |
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