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Contributions to the Theory of Games (AM-24), Volume I / / Albert William Tucker, Harold William Kuhn
Contributions to the Theory of Games (AM-24), Volume I / / Albert William Tucker, Harold William Kuhn
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages) : illustrations
Disciplina 519.3
Collana Annals of Mathematics Studies
Soggetto topico Game theory
Soggetto non controllato Affine space
Almost surely
Banach space
Basic solution (linear programming)
Bilinear form
Boundary (topology)
Bounded variation
Calculation
Characteristic function (probability theory)
Characterization (mathematics)
Coefficient
Combination
Completeness of the real numbers
Computation
Computational problem
Connected space
Continuous function (set theory)
Continuous function
Continuous game
Convex combination
Convex set
Counterexample
Diagram (category theory)
Dimension (vector space)
Dimension
Dimensional analysis
Elementary proof
Equation solving
Equilibrium point
Euclidean space
Existential quantification
Exterior (topology)
Extreme point
Facet (geometry)
Fubini's theorem
Function (mathematics)
Function space
Fundamental theorem
Geometry
Helly's theorem
Hyperplane
Identity matrix
Inequality (mathematics)
Infimum and supremum
Interior (topology)
Invertible matrix
Iterative method
Limit of a sequence
Limit point
Linear inequality
Linear map
Linear programming
Mathematical analysis
Mathematical optimization
Mathematics
Matrix (mathematics)
Maxima and minima
Maximal set
Measure (mathematics)
Minimax theorem
Mutual exclusivity
NSPACE
Orthogonal basis
Orthogonal matrix
Orthogonal polynomials
Partially ordered set
Permutation
Polyhedron
Polynomial
Probability distribution
Probability
Proportionality (mathematics)
Rational number
Riemann–Stieltjes integral
Scientific notation
Set (mathematics)
Set theory
Sign (mathematics)
Skew-symmetric matrix
Solution concept
Special case
Strategy (game theory)
Subsequence
Subset
Summation
Symmetrization
Theorem
Theory of Games and Economic Behavior
Theory
Topology
Transfinite number
Transfinite
Unit interval
Unit sphere
Unit vector
Vandermonde matrix
Variable (mathematics)
Vector space
Weak convergence (Hilbert space)
Weyl's theorem
ISBN 1-4008-8172-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- PART I. FINITE GAMES -- 1. THE ELEMENTARY THEORY OF CONVEX POLYHEDRA -- 2. ELEMENTARY PROOF OF A MINIMAX THEOREM DUE TO VON NEUMANN -- 3. BASIC SOLUTIONS OF DISCRETE GAMES / Shapley, L. S. / Snow, R. N. -- 4. SOLUTIONS OF FINITE TWO-PERSON GAMES / Gale, D. / Sherman, S. -- 5. SOLUTIONS OF DISCRETE, TWO-PERSON GAMES / Bohnenblust, H. F. / Karlin, S. -- 6. SOLUTIONS OF GAMES BY DIFFERENTIAL EQUATIONS / Brown, G. W. / Neumann, J. von -- 7. ON SYMMETRIC GAMES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 8. REDUCTIONS OP GAME MATRICES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 9. A SIMPLIFIED TWO-PERSON POKER / Kuhn, H. W. -- 10. A SIMPLE THREE-PERSON POKER GAME / Nash, J. F. / Shapley, L. S. -- 11. ISOMORPHISM OF GAMES, AND STRATEGIC EQUIVALENCE / McKinsey, J. C. C. -- PART II. INFINITE GAMES -- 12. OPERATOR TREATMENT OF MINMAX PRINCIPLE / Karlin, Samuel -- 13. ON A THEOREM OF VILLE / Bohnenblust, H. F. / Karlin, S. -- 14. POLYNOMIAL GAMES / Dresher, M. / Karlin, S. / Shapley, L. S. -- 15. GAMES WITH CONTINUOUS, CONVEX PAY-OFF / Bohnenblust, H. F. / Karlin, S. / Shapley, L. S. -- BIBLIOGRAPHY
Record Nr. UNINA-9910154754103321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Contributions to the Theory of Games (AM-28), Volume II / / Albert William Tucker, Harold William Kuhn
Contributions to the Theory of Games (AM-28), Volume II / / Albert William Tucker, Harold William Kuhn
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (409 pages) : illustrations
Disciplina 519.3
Collana Annals of Mathematics Studies
Soggetto topico Game theory
Soggetto non controllato A priori probability
Accuracy and precision
Addition
Assignment problem
Basic solution (linear programming)
Big O notation
Bilinear form
Binary game
Boolean algebra (structure)
Brouwer fixed-point theorem
Calculation
Cartesian product
Cauchy sequence
Characteristic function (probability theory)
Coefficient
Combination
Commutative property
Computation
Conditional probability distribution
Continuous function
Continuous game
Convex set
Cooperative game
Counterexample
Determinacy
Diagram (category theory)
Dimension (vector space)
Disjoint union
Duality (mathematics)
Eigenfunction
Equilibrium point
Equivalence class
Euclidean space
Existence theorem
Existential quantification
Expected value
Function (mathematics)
Hyperplane
Idealization
Imputation (statistics)
Inequality (mathematics)
Infimum and supremum
Integral equation
Intersection (set theory)
Interval (mathematics)
Kakutani fixed-point theorem
Limit of a sequence
Limit point
Linear differential equation
Linear inequality
Matching Pennies
Mathematical induction
Mathematical optimization
Mathematics
Matrix (mathematics)
Measure (mathematics)
Minimax theorem
Monotonic function
Mutual exclusivity
Neumann series
Numerical analysis
Open problem
Open set
Outcome (probability)
Partial derivative
Partially ordered set
Permutation matrix
Permutation
Polynomial
Positional notation
Preference (economics)
Probability distribution
Probability measure
Probability
Property B.
Proportionality (mathematics)
Quantity
Ranking (information retrieval)
Ring of sets
Saddle point
Scientific notation
Sign (mathematics)
Solution set
Special case
Statistical hypothesis testing
Step function
Strategy (game theory)
Subset
Summation
Symmetrization
Theorem
Theory of Games and Economic Behavior
Theory
Three-dimensional space (mathematics)
Topology
Transcendental number
Transformation matrix
Unit interval
Units of measurement
Variable (mathematics)
ISBN 1-4008-8197-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface / Kuhn, H. W. / Tucker, A. W. -- Contents -- Part I. Finite Zero-Sum Two-Persons Games -- 1. A Certain Zero-sum Two-person Game Equivalent to the Optimal Assignment Problem / Neumann, John von -- 2. Two Variants of Poker / Gillies, D. B. / Mayberry, J. P. / Neumann, J. von -- 3. The Double Description Method / Motzkin, T. S. / Raiffa, H. / Thompson, G. L. / Thrall, R. M. -- 4. Solutions of Convex Games as Fixed-points / Dresher, M. / Karlin, S. -- 5. Admissible Points of Convex Sets / Arrow, K. J. / Barankin, E. W. / Blackwell, D. -- Part II. Infinite Zero-Sum Two-Persons Games -- 6. Games of Timing / Shiffman, Max -- 7. Reduction of Certain Classes of Games to Integral Equations / Karlin, Samuel -- 8. On a Class of Games / Karlin, Samuel -- 9. Notes on Games over the Square / Glicksberg, I. / Gross, O. -- 10. On Randomization in Statistical Games with k Terminal Actions / Blackwell, David -- Part III. Games in Extensive Form -- 11. Extensive Games and the Problem of Information / Kuhn, H. W. -- 12. Equivalence of Information Patterns and Essentially Determinate Games / Dalkey, Norman -- 13. Infinite Games with Perfect Information / Gale, David / Stewart, F. M. -- 14. Signaling Strategies in n-Person Games / Thompson, G. L. -- 15. Bridge and Signaling / Thompson, G. L. -- 16. Sums of Positional Games / Milnor, John -- Part IV. General n-Person Games -- 17. A Value for n-Person Games / Shapley, L. S. -- 18. Symmetric Solutions to Majority Games / Bott, Raoul -- 19. Discriminatory and Bargaining Solutions to a Class of Symmetric n-Person Games / Gillies, D. B. -- 20. Quota Solutions of n-Person Games / Shapley, L. S. -- 21. Arbitration Schemes for Generalized Two-person Games / Raiffa, Howard -- Bibliography -- Backmatter
Record Nr. UNINA-9910154750503321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui