Discrete Convex Analysis by Kazuo Murota
The goal of this book is to present the theory of discrete convex analysis and to describe how the concepts and theorems in discrete convex analysis can be used in economics and game theory. The book consists of three parts. Part I presents the theory of $M$-concave set functions with a particular emphasis on the connection to economic concepts. Part II is a systematic presentation of the theory of discrete convex analysis for functions defined on the integer lattice, including some latest developments. Part III deals with applications to economics and game theory. The Conclusion offers brief presentation of the discrete fixed point theorem and of applications to operations research and congestion game. Almost all fundamental theorems come with complete proofs, although for some technically complicated proofs precise references to other sources are given instead. Both researchers studying mathematical theory of convex analysis and experts in the areas where convex analysis is used can benefit from this book.-
Quantum Field Theory
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Chevalley-Warning, Beyond and Beneath
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Non-Abelian Monopoles and Four-Manifold Topology
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Quantum Topology Via Modified Traces
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Abelian Varieties
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Combinatorial Factorization Theory
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The Cremona Group and Its Subgroups
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Fokker-Planck-Kolmogorov Equations
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Grid Homology for Knots and Links
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The Classification of the Finite Simple Groups, Number 6
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The Classification of the Finite Simple Groups, Number 7
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Braid and Knot Theory in Dimension Four
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Residuated Structures in Algebra and Logic
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Attractors for Degenerate Parabolic Type Equations
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Advanced Analytic Number Theory: L-functions
- Geometric Function Theory in the Unit Ball of $\mathbb{C}^n$
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Cohen-Macaulay Representations
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The Convenient Setting of Global Analysis
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Noncommutative Multivariable Operator Theory
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Singular Time-Homogeneous Ito Equations and PDEs
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Locally Solid Riesz Spaces with Applications to Economics
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Control and Nonlinearity
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Mixed Motives
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Ergodic Theory Via Joinings
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Ricci Solitons in Dimensions $4$ and Higher
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Vertex Algebras and Algebraic Curves
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Surgery on Compact Manifolds
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Univalent Functions in Quantum Probability Theory
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Perfectoid Spaces
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The Ricci Flow: Techniques and Applications
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Parabolic Geometries I
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Trees of Hyperbolic Spaces
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Foundations of Arithmetic Differential Geometry
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Algebraic Geometry for Scientists and Engineers
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Operators, Functions, and Systems
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Mirror Symmetry and Algebraic Geometry
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Geometric Analysis on Symmetric Spaces
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Self-Similar Groups
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Knotted Surfaces and Their Diagrams
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Alice and Bob Meet Banach
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Weak Convergence of Measures
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
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Iwasawa Theory and Its Perspective, Volume 1
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Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators
Kazuo Murota, Tokyo Metropolitan University, Japan
| SKU | Unavailable |
| ISBN 13 | 9781470486600 |
| ISBN 10 | 1470486601 |
| Title | Discrete Convex Analysis |
| Author | Kazuo Murota |
| Series | Mathematical Surveys And Monographs |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Number of pages | 359 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |