Values of Non-Atomic Games (eBook)

Robert J. Aumann, Lloyd S. Shapley (Autoren)

eBook Download: PDF

2015
348 Seiten
Princeton University Press (Verlag)
978-1-4008-6708-0 (ISBN)

Infos

The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics—a study of non-additive set functions and associated linear operators.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 8.3.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: absolute continuity • absolute value • Additive function • Affine space • Almost surely • Antiderivative • Approximation • automorphism • Axiom • axiomatic system • Banach space • bijection • Bounded Variation • Calculation • Cantor function • Cartesian Product • Cauchy Sequence • Characteristic function (probability theory) • Compact space • Competitive equilibrium • concave function • Connected space • Constant term • continuous function • Continuum Hypothesis • Contradiction • convex combination • convex set • corollary • Countable set • counterexample • Derivative • Differentiable function • Directional derivative • Discrete space • Disjoint sets • Disjoint union • Dyadic rational • Economic equilibrium • empty set • existential quantification • Family of sets • Finite set • Fréchet derivative • Function (mathematics) • Infinitesimal • Lebesgue measure • Limit superior and limit inferior • Linearity • Linear map • Linear subspace • Lipschitz continuity • Marginal product • mean value theorem • Measurable function • Measure (mathematics) • Monotonic Function • Naturalness (physics) • Natural number • Norm (mathematics) • Orthant • Parity (mathematics) • partial derivative • Pointwise • polynomial • Probability • Probability Distribution • probability measure • Proportionality (mathematics) • Quantity • Rate of Convergence • real number • Real variable • Relative interior • Set function • Shapley Value • Sign (mathematics) • Singular Function • small number • space form • Special case • subsequence • Subset • Summation • Superadditivity • symmetric space • Theorem • Topology • total variation • transferable utility • Uncountable set • uniform continuity • Uniform Space • uniqueness theorem • Upper and lower bounds • Utility • Variable (mathematics) • vector measure • Von Neumann's theorem • Weak topology
• ISBN-10: 1-4008-6708-8 / 1400867088
• ISBN-13: 978-1-4008-6708-0 / 9781400867080