Game theory and strategy:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Mathematical Assoc. of America
1993
|
| Schriftenreihe: | New mathematical library
36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | X, 244 S. graph. Darst. |
| ISBN: | 0883856379 9780883856376 |
Internformat
MARC
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| 490 | 1 | |a New mathematical library |v 36 | |
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Datensatz im Suchindex
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|---|---|
| adam_text |
Contents
Preface
ix
Part I Two-Person Zero-Sum Games
1
1
The Nature of Games
3
2
Matrix Games: Dominance and Saddle Points
7
3
Matrix Games: Mixed Strategies
13
4
Application to Anthropology: Jamaican Fishing
23
5
Application to Warfare: Guerrillas, Police, and Missiles
27
6
Application to Philosophy: Newcomb's Problem and
Free Will
32
7
Game Trees
37
8
Application to Business: Competitive Decision Making
44
9
Utility Theory
49
10
Games Against Nature
56
Part II Two-Person Non-Zero-Sum Games
63
11
Nash Equilibria and Non-Cooperative Solutions
65
12
The Prisoner's Dilemma
73
13
Application to Social Psychology: Trust, Suspicion,
and the F-Scale
81
14
Strategic Moves
85
15
Application to Biology: Evolutionarily Stable Strategies
93
16
The Nash Arbitration Scheme and Cooperative Solutions
102
17
Application to Business: Management-Labor Arbitration
112
18
Application to Economics: The Duopoly Problem
118
Part
ΠΙ
iV-Person Games
125
19
An Introduction to
N
-Person Games
127
20
Application to Politics: Strategic Voting
134
21
JV-Person Prisoner's Dilemma
139
22
Application to Athletics: Prisoner's Dilemma and
the Football Draft
145
23
Imputations, Domination, and Stable Sets
150
24
Application to Anthropology: Pathan Organization
161
25
The Core
165
26
The Shapley Value
171
27
Application to Politics: The Shapley-Shubik
Power Index
177
28
Application to Politics: The Banzhaf Index and
the Canadian Constitution
185
viii CONTENTS
29
Bargaining Sets
190
30
Application to Politics: Parliamentary Coalitions
196
31
The Nucleolus and the Gately Point
202
32
Application to Economics: Cost Allocation in India
209
33
The Value of Game Theory
213
Bibliography
217
Answers to Exercises
225
Index
241
This book is an introduction to math¬
ematical game theory, which might better
be called the mathematical theory of
conflict and cooperation. It is applicable
whenever two individuals
—
or com¬
panies, or political parties, or nations
—
confront situations where the outcome for
each depends on the behavior of all. What
are the best strategies in such situations?
If there are chances of cooperation, with
whom should you cooperate, and how
should you share the proceeds of co¬
operation?
Since its creation by John
von
Neumann
and
Oskar Morgenstern in 1944,
game
theory has shed new light on business,
politics, economics, social psychology,
philosophy, and evolutionary biology. In
this book, its fundamental ideas are devel¬
oped with mathematics at the level of high
school algebra and applied to many of
these fields (see the table of contents).
Ideas like "fairness" are presented via
axioms that fair allocations should satisfy;
thus the reader is introduced to axiomatic
thinking as well as to mathematical mod¬
eling of actual situations.
Philip Straffin received his B.A.
magna
cum
laude
from Harvard in
1965,
studied
at Cambridge (Marshall Scholarship),
where he performed with distinction on
the Tripos exams, and received his Ph.D.
from Berkeley in
1971.
His mathematical
versatility is reflected in the range of his
publications: on algebraic topology, dy¬
namical systems, mathematical model¬
ing, game theory, and the theory of voting.
He is Professor of Mathematics at Beloit
College, where he has been since
1970,
chairing the Department of Mathematics
and Computer Science from
1980
to
1990.
He has coached Meritorious and Out¬
standing teams in COMAP's Competi¬
tion in Modeling. His extraordinary
teaching talents have been recognized by
such awards as Beloit College's Teacher
of the Year
(1975),
MAA's Allendoerfer
Award
(1985),
and MAA's Award for
Distinguished College Teaching of Math¬
ematics
(1993).
Professor Straffin's combination of
talents and interests
—
research and ap¬
plication-oriented (acutely aware of con¬
nections with current phenomena),
pedagogical, expository, collaborative
—
have made him one of the leading figures
among reformers of undergraduate math¬
ematics education. His edited collection
Applications of Calculus appeared in
MAA's Resources for Calculus in
1993. |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| isbn | 0883856379 9780883856376 |
| language | English |
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| physical | X, 244 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Mathematical Assoc. of America |
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| series | New mathematical library |
| series2 | New mathematical library |
| spelling | Straffin, Philip D. Verfasser (DE-588)171385918 aut Game theory and strategy by Philip D. Straffin New York Mathematical Assoc. of America 1993 X, 244 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier New mathematical library 36 Hier auch später erschienene, unveränderte Nachdrucke Spieltheorie (DE-588)4056243-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Spieltheorie (DE-588)4056243-8 s DE-604 Erscheint auch als Online-Ausgabe 978-0-88385-950-6 New mathematical library 36 (DE-604)BV001888260 36 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019645511&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019645511&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
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| title | Game theory and strategy |
| title_auth | Game theory and strategy |
| title_exact_search | Game theory and strategy |
| title_full | Game theory and strategy by Philip D. Straffin |
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| topic | Spieltheorie (DE-588)4056243-8 gnd |
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