Mean field games and mean field type control theory:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
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Schriftenreihe: | SpringerBriefs in mathematics
|
Schlagworte: | |
Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461485070 9781461485087 |
DOI: | 10.1007/978-1-4614-8508-7 |
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Datensatz im Suchindex
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adam_text | MEAN FIELD GAMES AND MEAN FIELD TYPE CONTROL THEORY
/ BENSOUSSAN, ALAIN
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
GENERAL PRESENTATION OF MEAN FIELD CONTROL PROBLEMS
DISCUSSION OF THE MEAN FIELD GAME
DISCUSSION OF THE MEAN FIELD TYPE CONTROL
APPROXIMATION OF NASH GAMES WITH A LARGE NUMBER OF PLAYERS
LINEAR QUADRATIC MODELS
STATIONARY PROBLEMS- DIFFERENT POPULATIONS
NASH DIFFERENTIAL GAMES WITH MEAN FIELD EFFECT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MEAN FIELD GAMES AND MEAN FIELD TYPE CONTROL THEORY
/ BENSOUSSAN, ALAIN
: 2013
ABSTRACT / INHALTSTEXT
MEAN FIELD GAMES AND MEAN FIELD TYPE CONTROL INTRODUCE NEW PROBLEMS IN
CONTROL THEORY. THE TERMINOLOGY “GAMES” MAY BE CONFUSING. IN FACT
THEY ARE CONTROL PROBLEMS, IN THE SENSE THAT ONE IS INTERESTED IN A
SINGLE DECISION MAKER, WHOM WE CAN CALL THE REPRESENTATIVE AGENT.
HOWEVER, THESE PROBLEMS ARE NOT STANDARD, SINCE BOTH THE EVOLUTION OF
THE STATE AND THE OBJECTIVE FUNCTIONAL IS INFLUENCED BUT TERMS WHICH ARE
NOT DIRECTLY RELATED TO THE STATE OR THE CONTROL OF THE DECISION MAKER.
THEY ARE HOWEVER, INDIRECTLY RELATED TO HIM, IN THE SENSE THAT THEY
MODEL A VERY LARGE COMMUNITY OF AGENTS SIMILAR TO THE REPRESENTATIVE
AGENT. ALL THE AGENTS BEHAVE SIMILARLY AND IMPACT THE REPRESENTATIVE
AGENT. HOWEVER, BECAUSE OF THE LARGE NUMBER AN AGGREGATION EFFECT TAKES
PLACE. THE INTERESTING CONSEQUENCE IS THAT THE IMPACT OF THE COMMUNITY
CAN BE MODELED BY A MEAN FIELD TERM, BUT WHEN THIS IS DONE, THE PROBLEM
IS REDUCED TO A CONTROL PROBLEM.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Bensoussan, Alain 1940- Frehse, Jens 1943- Yam, Phillip |
author_GND | (DE-588)13295947X (DE-588)106319930 |
author_facet | Bensoussan, Alain 1940- Frehse, Jens 1943- Yam, Phillip |
author_role | aut aut aut |
author_sort | Bensoussan, Alain 1940- |
author_variant | a b ab j f jf p y py |
building | Verbundindex |
bvnumber | BV041477440 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
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dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519 |
dewey-search | 519 |
dewey-sort | 3519 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Medizin |
doi_str_mv | 10.1007/978-1-4614-8508-7 |
format | Electronic eBook |
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spelling | Bensoussan, Alain 1940- Verfasser (DE-588)13295947X aut Mean field games and mean field type control theory Alain Bensoussan ; Jens Frehse ; Phillip Yam New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics Systemtheorie (DE-588)4058812-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Kontrolltheorie (DE-588)4032317-1 s Systemtheorie (DE-588)4058812-9 s 1\p DE-604 Frehse, Jens 1943- Verfasser (DE-588)106319930 aut Yam, Phillip Verfasser aut https://doi.org/10.1007/978-1-4614-8508-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923470&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bensoussan, Alain 1940- Frehse, Jens 1943- Yam, Phillip Mean field games and mean field type control theory Systemtheorie (DE-588)4058812-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
subject_GND | (DE-588)4058812-9 (DE-588)4044779-0 (DE-588)4032317-1 |
title | Mean field games and mean field type control theory |
title_auth | Mean field games and mean field type control theory |
title_exact_search | Mean field games and mean field type control theory |
title_full | Mean field games and mean field type control theory Alain Bensoussan ; Jens Frehse ; Phillip Yam |
title_fullStr | Mean field games and mean field type control theory Alain Bensoussan ; Jens Frehse ; Phillip Yam |
title_full_unstemmed | Mean field games and mean field type control theory Alain Bensoussan ; Jens Frehse ; Phillip Yam |
title_short | Mean field games and mean field type control theory |
title_sort | mean field games and mean field type control theory |
topic | Systemtheorie (DE-588)4058812-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
topic_facet | Systemtheorie Partielle Differentialgleichung Kontrolltheorie |
url | https://doi.org/10.1007/978-1-4614-8508-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923470&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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