Advances in Game Theory. (AM-52), Volume 52 / / Melvin Dresher, Albert William Tucker, Lloyd S. Shapley |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (693 pages) : illustrations |
Disciplina | 512.8 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Game theory |
Soggetto non controllato |
Almost surely
Automorphism Axiom Basis (linear algebra) Bayesian probability Big O notation Bounded set (topological vector space) Calculation Cartesian product Characteristic function (probability theory) Complete theory Conditional probability distribution Continuous function (set theory) Continuum hypothesis Cooperative game Coset Counterexample Cumulative distribution function Decision rule Decision-making Determinacy Diagram (category theory) Differential game Distribution function Dyadic rational Equation solving Equation Equilibrium point Estimation Existence theorem Family of sets Foundations of mathematics Function (mathematics) Fundamental theorem Game show Hamilton–Jacobi equation Harmonic function Independence (probability theory) Inequality (mathematics) Infimum and supremum Initial value problem Invertible matrix Jacobian matrix and determinant Joint probability distribution Linear inequality Linear map Linear programming Lipschitz continuity Markov chain Markov process Markov property Mathematical analysis Mathematical economics Mathematical induction Mathematical optimization Matrix (mathematics) Minimax theorem Minor (linear algebra) Mutual exclusivity N-vector Open set Outcome (probability) Parity (mathematics) Partially ordered set Payment Permutation Preference (economics) Prime number Primitive root modulo n. Probability distribution function Probability distribution Probability measure Probability Quantifier (logic) Quantity Random variable Randomization Ranking (information retrieval) Representation theory Sample space Scientific notation Search game Set (mathematics) Shapley value Simultaneous equations Skew-symmetric matrix Solution concept Special case Strategy (game theory) Subset Summation Superadditivity Sylow theorems Theorem Theory of Games and Economic Behavior Theory Topology Utility Variable (mathematics) Weighted arithmetic mean |
ISBN | 1-4008-8201-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface / Dresher, M. / Shapley, L. S. / Tucker, A. W. -- Contents -- 1. Some Topics in Two-Person Games / Shapley, L. S. -- 2. Games With a Random Move / Restrepo, Rodrigo A. -- 3. A Search Game / Johnson, Selmer M. -- 4. The Rendezvous Value of a Metric Space / Gross, O. -- 5. Generalized Gross Substitutability and Extremization / Nikaidò, Hukukane -- 6. Adaptive Competitive Decision / Rosenfeld, Jack L. -- 7. Infinite Games of Perfect Information / Davis, Morton -- 8. Continuous Games of Perfect Information / Mycielski, Jan -- 9. A Theory of Pursuit and Evasion / Ryll-Nardzewski, C. -- 10. A Variational Approach to Differential Games / Berkovitz, Leonard D. -- 11. A Differential Game Without Pure Strategy Solutions on an Open Set / Berkovitz, Leonard D. -- 12. The Convergence Problem for Differential Games, II / Fleming, Wendell H. -- 13. Markov Games / Zachrisson, Lars Erik -- 14. Homogeneous Games, III / Isbell, J. R. -- 15. Solutions of Compound Simple Games / Shapley, L. S. -- 16. The Tensor Composition of Nonnegative Games / Owen, Guillermo -- 17. On the Cardinality of Solutions of Four-Person Constant- Sum Games / Galmarino, Alberto Raul -- 18. The Doubly Discriminatory Solutions of the Four-Person Constant-Sum Game / Hebert, Michael H. -- 19. Three-Person Cooperative Games Without Side Payments / Stearns, R. E. -- 20. Some Thoughts on the Theory of Cooperative Games / Jentzsch, Gerd -- 21. The Bargaining Set for Cooperative Games / Aumann, Robert J. / Maschler, Michael -- 22. Stable Payoff Configurations for Quota Games / Maschler, Michael -- 23. On the Bargaining Set M0 of m-Quota Games / Peleg, Bezalel -- 24. A Property of Stability Possessed by Certain Imputations / Radstrom, Hans -- 25. Coalition Bargaining in n-Person Games / Nering, Evar D. -- 26. The n-Person Bargaining Game / Miyasawa, Koichi -- 27. Valuation of n-Person Games / Selten, Reinhard -- 28. Mixed and Behavior Strategies in Infinite Extensive Games / Aumann, Robert J . -- 29. A General Solution for Finite Noncooperative Games Based on Risk-Dominance / Harsanyi, John C. |
Record Nr. | UNINA-9910154750703321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
|
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 | ||
|
Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher |
Autore | Dresher Melvin |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (452 pages) : illustrations |
Disciplina | 519.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Game theory |
Soggetto non controllato |
Almost surely
American Mathematical Society Axiom of choice Bayes estimator Big O notation Binomial coefficient Binomial theorem Boundary value problem C0 Calculation Cartesian product Characteristic function (probability theory) Coefficient Complete metric space Composition series Continuous function (set theory) Continuous game Counterexample Decision problem Decision theory Determinacy Diagram (category theory) Differential equation Differential game Distribution function Elementary matrix Equation Existence theorem Expected utility hypothesis Extended real number line Family of sets Finitary Function (mathematics) Functional equation Fundamenta Mathematicae Fundamental theorem Inequality (mathematics) Infimum and supremum Integral equation Interval (mathematics) Joint probability distribution Kakutani fixed-point theorem Kakutani's theorem Laplace's equation Lipschitz continuity Loss function Markov chain Martingale (probability theory) Mathematical analysis Mathematical induction Mathematical optimization Mathematics Maxima and minima Measure (mathematics) Metric space Monotonic function N-vector Ordinal number Outcome (probability) Parametric statistics Parity (mathematics) Partial differential equation Polynomial Preference (economics) Probability distribution Probability measure Probability theory Probability Product topology Proportionality (mathematics) Randomization Rate of convergence Real projective plane Recurrence relation Recursive set Recursively enumerable set Reductio ad absurdum Restriction (mathematics) Scientific notation Series (mathematics) Set (mathematics) Sigma-algebra Sign (mathematics) Solution set Special case Stochastic game Stochastic process Stochastic Strategy (game theory) Subharmonic function Summation Theorem Topological game Topological space Topology Transfinite induction Turing machine Utility Variable (mathematics) Zorn's lemma |
ISBN | 1-4008-8215-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- PART I. MOVE AS PLAYS OF OTHER GAMES -- 1. ON GAMES OP SURVIVAL / Milnor, J. / Shapley, L .S. -- 2. RECURSIVE GAMES / Everett, H. -- 3. FINITARY GAMES / Isbell, J. R. -- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY / Hannan, James -- 5. INFORMATION IN GAMES WITH FINITE RESOURCES / Gale, David -- PART II. GAMES WITH PERFECT INFORMATION -- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES / Rabin, Michael O. -- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM / Oxtoby, John C. -- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION / Berge, Claude -- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES / Gillette, Dean -- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES / Holladay, John C. -- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES / Walden, w. -- PART III. GAMES WITH PARTIAL INFORMATION -- 12. GAMES WITH PARTIAL INFORMATION / Scarf, H. E. / Shapley, L. S. -- 13. A DISCRETE EVASION GAME / Dabins, L. E. -- 14. AN INFINITE MOVE GAME WITH A LAG / Karlin, Samuel -- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES / Kemeny, John G. / Thompson, Gerald L. -- PART IV. GAMES WITH CONTINUUM OF STRATEGIES -- 16. ON A GAME WITHOUT A VALUE / Sion, Maurice / Wolfe, Philip -- 17. A RATIONAL GAME ON THE SQUARE / Gross, O. -- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS / Restrepo, Rodrigo -- 19. MULTISTAGE POKER MODELS / Karlin, Samuel / Restrepo, Rodrigo -- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS / Karlin, Samuel -- PART V. GAMES WITH A CONTINUUM OF MOVES -- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF / Scarf, H. E. -- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION / Fleming, W. H. -- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF / Berkovitz, L. D. / Fleming, W. H. -- Backmatter |
Record Nr. | UNINA-9910154750403321 |
Dresher Melvin | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Lectures on the theory of games [[electronic resource] /] / Harold W. Kuhn |
Autore | Kuhn Harold W (Harold William), <1925-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2003 |
Descrizione fisica | 1 online resource (118 p.) |
Disciplina | 519.3 |
Collana | Annals of mathematics studies |
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 |
ISBN |
1-282-15911-9
9786612159114 1-4008-2956-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910778215503321 |
Kuhn Harold W (Harold William), <1925-> | ||
Princeton, N.J., : Princeton University Press, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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