Games and Decisions: Introduction and Critical Survey

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Courier Corporation, Apr 1, 1989 - Mathematics - 509 pages
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This book presents an introduction to game theory and related disciplines, primarily as applied to the social sciences. Clear, comprehensive coverage of utility theory, two-person zero-sum games, two-person nonzero-sum games, n-person games, individual and group decision-making, and more. Graphs and figures.
 

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Contents

CHAPTER
1
Utility Theory I
12
Extensive and Normal Forms
39
TwoPerson ZeroSum Games
56
APPENDICES
81
TwoPerson NonZeroSum NonCooperative
88
TwoPerson Cooperative Games II 4
114
TwoPERSON GAMES
145
CHECKING ALL CRITICAL POINTs
426
THE Double DESCRIPTION METHOD
430
THE SIMPLEx METHOD
432
A GEOMETRIC INTERPRETATION OF THE SIMPLEX AND DUAL SIMPLEX PROCEDURES
435
DIFFERENTIAL EQUATION solutions of SYMMETRIC GAMEs
438
SYMMETRIZATION OF A GAME
440
ITERATIVE solution of GAMES BY FICTITIOUS PLAY
442
Games with Infinite Pure Strategy Sets
447

Theories of nPerson Games in Normal Form I 55
155
Characteristic Functions
180
Solutions
199
Io WStability
220
Applications of nPerson Theory
253
Individual Decision Making under Uncertainty
275
Group Decision Making
327
APPENDICES
371
THE UTILITY AND subjecTIVE PROBABILITY FUNCTIONs
378
The Minimax Theorem
385
First Geometrical Interpretation of a TwoPerson
394
Second Geometrical Interpretation of a TwoPerson
400
Linear Programing and TwoPerson ZeroSum
408
REDUCTION OF A LINEARPROGRAMING PROBLEM TO A GAME
419
Solving TwoPerson ZeroSum Games
424
TRIAL AND ERROR
425
GAMEs witH NovaLUE
448
GAMEs where A or B Is FINITE
450
GAMEs where A is ALMost FINITE
451
GAMES INvolving TIMING or PARTITIONING
453
A MODEL of PokeR DUE TO Borel
456
Sequential Compounding of TwoPerson Games
457
STOCHASTIC GAMEs
458
RECURSIVE GAMES
461
GAMES OF SURVIVAL
467
MULTICOMPONENT ATTRITION GAMEs
476
APPROACHABILITYEXCLUDABILITY THEORY AND COMPOUND DECISION PROBLEMs
479
Dividend Policy AND ECONOMIG RUIN GAMEs
483
Bibliography
485
Index
501
Copyright

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About the author (1989)

Howard Raiffa was born in the Bronx, New York on January 24, 1924. He was attending City College when he enlisted in the Army Air Corps, where he was a radar specialist. He received a bachelor's degree in mathematics in 1946, a master's degree in statistics, and a doctorate in mathematics from the University of Michigan in Ann Arbor. He taught at Columbia University from 1952 to 1957 and then joined the faculty of the business school at Harvard University. He was a co-founder of the John F. Kennedy School of Government at Harvard (now the Harvard Kennedy School). He was a member of the university faculty for 37 years before retiring in 1994. He pioneered what became known as decision science - a discipline that encompasses negotiating techniques, conflict resolution, risk analysis, and game theory. He was the author of 11 books including Games and Decisions: Introduction and Critical Survey written with R. Duncan Luce, Applied Statistical Decision Theory written with Robert Schlaifer, The Art and Science of Negotiation: How to Resolve Conflicts and Get the Best Out of Bargaining, Decision Analysis: Introductory Lectures on Choices Under Uncertainty, and Smart Choices: A Practical Guide to Making Better Decisions written with John S. Hammond and Ralph L. Keeney. He died from Parkinson's disease on July 8, 2016 at the age of 92.

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