06223nam 22016695 450 991015475410332120190708092533.01-4008-8172-210.1515/9781400881727(CKB)3710000000620064(MiAaPQ)EBC4738565(DE-B1597)467913(OCoLC)979746992(DE-B1597)9781400881727(EXLCZ)99371000000062006420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Games (AM-24), Volume I /Albert William Tucker, Harold William KuhnPrinceton, NJ : Princeton University Press, [2016]©19511 online resource (221 pages) illustrationsAnnals of Mathematics Studies ;2730-691-07934-X Includes bibliographical references.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. -- BIBLIOGRAPHYThe description for this book, Contributions to the Theory of Games (AM-24), Volume I, will be forthcoming.Annals of mathematics studies ;Number 24.Game theoryAffine 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.Game theory.519.3Kuhn Harold William, Tucker Albert William, DE-B1597DE-B1597BOOK9910154754103321Contributions to the Theory of Games (AM-24), Volume I2788529UNINA