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Lectures on the theory of games / / Harold W. Kuhn



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Autore: Kuhn Harold W (Harold William), <1925-2014.> Visualizza persona
Titolo: Lectures on the theory of games / / Harold W. Kuhn Visualizza cluster
Pubblicazione: Princeton, New Jersey : , : Princeton University Press, , 2003
Edizione: Course Book
Descrizione fisica: 1 online resource (118 pages)
Disciplina: 519.3
Soggetto topico: Game theory
Soggetto non controllato: Abstract algebra
Addition
Algorithm
Almost surely
Analytic geometry
Axiom
Basic solution (linear programming)
Big O notation
Bijection
Binary relation
Boundary (topology)
Bounded set (topological vector space)
Branch point
Calculation
Cardinality of the continuum
Cardinality
Cartesian coordinate system
Characteristic function (probability theory)
Combination
Computation
Connectivity (graph theory)
Constructive proof
Convex combination
Convex function
Convex hull
Convex set
Coordinate system
David Gale
Diagram (category theory)
Differential equation
Dimension (vector space)
Dimensional analysis
Disjoint sets
Distribution function
Embedding
Empty set
Enumeration
Equation
Equilibrium point
Equivalence relation
Estimation
Euclidean space
Existential quantification
Expected loss
Extreme point
Formal scheme
Fundamental theorem
Galois theory
Geometry
Hyperplane
Inequality (mathematics)
Infimum and supremum
Integer
Iterative method
Line segment
Linear equation
Linear inequality
Matching Pennies
Mathematical induction
Mathematical optimization
Mathematical theory
Mathematician
Mathematics
Matrix (mathematics)
Measure (mathematics)
Min-max theorem
Minimum distance
Mutual exclusivity
Prediction
Probability distribution
Probability interpretations
Probability measure
Probability theory
Probability
Proof by contradiction
Quantity
Rank (linear algebra)
Rational number
Real number
Requirement
Scientific notation
Sign (mathematics)
Solution set
Special case
Statistics
Strategist
Strategy (game theory)
Subset
Theorem
Theory of Games and Economic Behavior
Theory
Three-dimensional space (mathematics)
Total order
Two-dimensional space
Union (set theory)
Unit interval
Unit square
Vector Analysis
Vector calculus
Vector space
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Frontmatter -- Contents -- Author's Note -- Preface -- Chapter 1. What Is the Theory of Games? -- Chapter 2. Matrix Games -- Chapter 3. Extensive Games -- Chapter 4. Infinite Games -- Index
Sommario/riassunto: This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.
Titolo autorizzato: Lectures on the theory of games  Visualizza cluster
ISBN: 1-282-15911-9
9786612159114
1-4008-2956-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910818504203321
Lo trovi qui: Univ. Federico II
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Serie: Annals of mathematics studies ; ; no. 37.