Introduction to multi-player differential games and their applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Gordon and Breach Science Publ.
1988
|
| Series: | Studies in cybernetics
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Vredenie v differencial'nye igry neskol'kich lic i ich priloženija <engl.>. - Aus d. Russ. übers. |
| Physical Description: | VIII, 581 S. |
| ISBN: | 2881242421 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000869750 | ||
| 003 | DE-604 | ||
| 005 | 20180626 | ||
| 007 | t | ||
| 008 | 890131s1988 |||| 00||| eng d | ||
| 020 | |a 2881242421 |9 2-88124-242-1 | ||
| 035 | |a (OCoLC)643619253 | ||
| 035 | |a (DE-599)BVBBV000869750 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-739 |a DE-83 |a DE-188 | ||
| 084 | |a SK 860 |0 (DE-625)143264: |2 rvk | ||
| 100 | 1 | |a Vajsbord, Ėmmanuil M. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Vvedenie v differencial'nye igry neskol'kich lic i ich priloženija |
| 245 | 1 | 0 | |a Introduction to multi-player differential games and their applications |c E. M. Vaisbord and V. I. Zhukvoskiǐ |
| 264 | 1 | |a New York u.a. |b Gordon and Breach Science Publ. |c 1988 | |
| 300 | |a VIII, 581 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Studies in cybernetics |v 15 | |
| 500 | |a EST: Vredenie v differencial'nye igry neskol'kich lic i ich priloženija <engl.>. - Aus d. Russ. übers. | ||
| 650 | 0 | 7 | |a Differentialspiel |0 (DE-588)4012253-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialspiel |0 (DE-588)4012253-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zukovskij, Vladislav I. |e Verfasser |4 aut | |
| 830 | 0 | |a Studies in cybernetics |v 15 |w (DE-604)BV000007886 |9 15 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000546157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000546157 | ||
Record in the Search Index
| _version_ | 1804115323294580736 |
|---|---|
| adam_text | Contents
Introduction to the Series v
Chapter 1: The Simplest Concepts and Examples 1
1.1 Certain Concepts of the Theory of Differential Games 1
1.2 Game Problems in Mechanical Systems 9
1.3 Models of Two-sided Military Actions 23
1.4 Game Problems in Economic Systems 26
1.5 Hierarchical Systems 34
Chapter 2: The Mathematical Apparatus and Presentation of Problems 49
2.1 Sufficient Conditions of Optimality 49
2.2 Necessary Conditions of Optimality 64
2.3 Permitted Strategies and Controls 71
2.4 Presentation of the Problem 77
2.5 Absolutely Cooperative Strategies 84
Chapter 3: The Problem of Synthesis in Non-cooperative
Differential Games 89
3.1 Guaranteeing Strategies 89
3.2 Equilibrium Strategies 107
3.3 The Cases of the Fragmenting Functions f and Fi 118
3.4 Multi-player Games of Pursuit 130
Chapter 4: The Existence of Open-loop Equilibrium Controls 139
4.1 Linear Game with Quadratic Payoff Function 139
4.2 Constrained Speed of Change of Control of Players 146
4.3 Decomposing Systems 153
4.4 Properties of Equilibrium Strategies and Controls 158
Chapter 5: Coalition Differential Games 169
5.1 Maximin Strategies 170
5.2 Method of Dominating the Risk of Harshanyi 177
5.3 Strategies of Threat and Counterthreat
(Necessary Conditions) 182
5.4 Strategies of Threat and Counterthreat
(Sufficient Conditions) 197
5.5 Local Threat and Counterthreat 215
Chapter 6: Cooperative Differential Games 225
6.1 Pareto Optimality 227
6.2 Mean-square Strategies 244
6.3 The Nash Bargaining Solution 254
6.4 On the Problem of Imputations 258
Chapter 7: Hierarchical Differential Games 269
7.1 Statement of the Problem 270
7.2 One or Two-player Games 275
7.3 The Non-cooperative Variant 287
7.4 The Coalition Variant 316
7.5 The Cooperative Variant 342
7.6 The Three-level Differential Game 365
Chapter 8: Solution of the Tucker Paradox (New Understanding of the
Solution of Non-cooperative Differential Games) 373
8.1 Supplementary Results 377
8.2 Analogy of the Pareto Optimum 399
8.3 Shortcoming in the Nash Equilibrium Concept 418
8.4 The Z-Solution: Existence and Properties 458
Commentary on the Bibliography 495
Bibliography 515
Index 579
|
| any_adam_object | 1 |
| author | Vajsbord, Ėmmanuil M. Zukovskij, Vladislav I. |
| author_facet | Vajsbord, Ėmmanuil M. Zukovskij, Vladislav I. |
| author_role | aut aut |
| author_sort | Vajsbord, Ėmmanuil M. |
| author_variant | ė m v ėm ėmv v i z vi viz |
| building | Verbundindex |
| bvnumber | BV000869750 |
| classification_rvk | SK 860 |
| ctrlnum | (OCoLC)643619253 (DE-599)BVBBV000869750 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01611nam a2200373 cb4500</leader><controlfield tag="001">BV000869750</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180626 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890131s1988 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">2881242421</subfield><subfield code="9">2-88124-242-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)643619253</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000869750</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 860</subfield><subfield code="0">(DE-625)143264:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vajsbord, Ėmmanuil M.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Vvedenie v differencial'nye igry neskol'kich lic i ich priloženija</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to multi-player differential games and their applications</subfield><subfield code="c">E. M. Vaisbord and V. I. Zhukvoskiǐ</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York u.a.</subfield><subfield code="b">Gordon and Breach Science Publ.</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 581 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Studies in cybernetics</subfield><subfield code="v">15</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">EST: Vredenie v differencial'nye igry neskol'kich lic i ich priloženija <engl.>. - Aus d. Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialspiel</subfield><subfield code="0">(DE-588)4012253-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialspiel</subfield><subfield code="0">(DE-588)4012253-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zukovskij, Vladislav I.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Studies in cybernetics</subfield><subfield code="v">15</subfield><subfield code="w">(DE-604)BV000007886</subfield><subfield code="9">15</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000546157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000546157</subfield></datafield></record></collection> |
| id | DE-604.BV000869750 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:20:47Z |
| institution | BVB |
| isbn | 2881242421 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000546157 |
| oclc_num | 643619253 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-83 DE-188 |
| owner_facet | DE-12 DE-739 DE-83 DE-188 |
| physical | VIII, 581 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Gordon and Breach Science Publ. |
| record_format | marc |
| series | Studies in cybernetics |
| series2 | Studies in cybernetics |
| spelling | Vajsbord, Ėmmanuil M. Verfasser aut Vvedenie v differencial'nye igry neskol'kich lic i ich priloženija Introduction to multi-player differential games and their applications E. M. Vaisbord and V. I. Zhukvoskiǐ New York u.a. Gordon and Breach Science Publ. 1988 VIII, 581 S. txt rdacontent n rdamedia nc rdacarrier Studies in cybernetics 15 EST: Vredenie v differencial'nye igry neskol'kich lic i ich priloženija <engl.>. - Aus d. Russ. übers. Differentialspiel (DE-588)4012253-0 gnd rswk-swf Differentialspiel (DE-588)4012253-0 s DE-604 Zukovskij, Vladislav I. Verfasser aut Studies in cybernetics 15 (DE-604)BV000007886 15 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000546157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vajsbord, Ėmmanuil M. Zukovskij, Vladislav I. Introduction to multi-player differential games and their applications Studies in cybernetics Differentialspiel (DE-588)4012253-0 gnd |
| subject_GND | (DE-588)4012253-0 |
| title | Introduction to multi-player differential games and their applications |
| title_alt | Vvedenie v differencial'nye igry neskol'kich lic i ich priloženija |
| title_auth | Introduction to multi-player differential games and their applications |
| title_exact_search | Introduction to multi-player differential games and their applications |
| title_full | Introduction to multi-player differential games and their applications E. M. Vaisbord and V. I. Zhukvoskiǐ |
| title_fullStr | Introduction to multi-player differential games and their applications E. M. Vaisbord and V. I. Zhukvoskiǐ |
| title_full_unstemmed | Introduction to multi-player differential games and their applications E. M. Vaisbord and V. I. Zhukvoskiǐ |
| title_short | Introduction to multi-player differential games and their applications |
| title_sort | introduction to multi player differential games and their applications |
| topic | Differentialspiel (DE-588)4012253-0 gnd |
| topic_facet | Differentialspiel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000546157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000007886 |
| work_keys_str_mv | AT vajsbordemmanuilm vvedenievdifferencialnyeigryneskolkichliciichprilozenija AT zukovskijvladislavi vvedenievdifferencialnyeigryneskolkichliciichprilozenija AT vajsbordemmanuilm introductiontomultiplayerdifferentialgamesandtheirapplications AT zukovskijvladislavi introductiontomultiplayerdifferentialgamesandtheirapplications |