Computation and Complexity in Economic Behavior and Organization.

By: Mount, Kenneth RContributor(s): Reiter, Stanley | Reiter, StanleyPublisher: New York : Cambridge University Press, 2002Copyright date: ©2002Description: 1 online resource (249 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139146975Subject(s): Economics, MathematicalGenre/Form: Electronic books. Additional physical formats: Print version:: Computation and Complexity in Economic Behavior and OrganizationDDC classification: 330 LOC classification: HB135 .M744 2002Online resources: Click to View
Contents:
Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- Acknowledgments -- 1 Introduction -- 1.1. THE MODELING OF COMPUTING AND ECONOMIC AGENTS -- 1.2. COMPLEXITY, MATHEMATICS, AND HUMAN CAPACITIES -- 1.2.1. Complexity and Computability -- 1.3. COMPUTING AND ECONOMIC ORGANIZATION -- 1.4. CHAPTER SUMMARIES -- 2 F Networks -- 2.1. GRAPHS AND TREES -- 2.1.1. The Network Model -- 2.1.2. Conditional Branching -- 2.1.3. Symmetrical Computation -- 3 Networks of Real-Valued Functions -- 3.1. THE LEONTIEF THEOREM -- 3.1.1. Necessary Conditions -- 3.1.2. An Example -- 3.1.3. Sufficient Conditions -- 3.2. LOCAL CONDITIONS -- 3.3. COMPUTABILITY IN EXCESS TIME -- 4 Applications to Economics -- 4.1. COMPUTATION WITH HUMAN AGENTS -- 4.1.1. Example 1: Reading Handwriting -- 4.1.2. Example 2: Chernoff Faces -- 4.2. DECENTRALIZED MECHANISMS -- 4.3. THE EDGEWORTH BOX ECONOMY -- 4.3.1. Linear Coordinate Changes in the Message Space -- 4.3.2. Linear Coordinate Changes in Parameter Spaces -- 4.4. THE EFFICIENT FRONTIER -- 5 Applications to Games -- 5.1. BARGAINING GAMES -- 5.1.1. Bargaining Games with Quadratic Boundaries -- 5.1.2. The Kalai-Smorodinsky Solution for Quadratic Boundaries -- 5.1.3. The Nash Solution for Quadratic Boundaries -- 5.1.4. Bargaining Games with Cubic Boundaries -- 5.2. COMPUTATIONAL SUPERIORITY AND STRATEGIC ADVANTAGE -- 6 Lower Bounds and Approximations -- 6.1. REVELATION MECHANISMS -- 6.1.1. Constructions -- 6.2. FINITE APPROXIMATIONS -- 6.2.1. Lattice Decomposition of… -- 6.2.2. A Limit Theorem -- 7 Organizations -- 7.1. COORDINATION PROBLEMS -- 7.1.1. Costs of Information Processing and Efficient Assignments -- 7.2. TWO EXAMPLES -- 7.2.1. Example 1 -- 7.2.2. Example 2 -- 7.3. A FORMAL MODEL -- 7.3.1. Technology and Production -- 7.3.2. Efficient Production -- 7.3.3. Information, Communication, and Coordination.
7.4. STRUCTURE OF ORGANIZATIONS -- 7.4.1. Larger Organizations -- 7.4.2. Revised Cost Model -- Appendix A Appendix to Chapter 2: Graph Theory -- Appendix B Appendix to Chapter 3: Real-Valued Functions -- B.1. UNIQUENESS RESULTS -- B.1.1. An Example -- B.2. LEONTIEF'S THEOREM -- B.2.1. An Example -- B.2.2. Example of the General Leontief Theorem in a Low-Dimensional Case -- Appendix C Appendix to Chapter 5: Application to Games -- Bibliography -- Index.
Summary: A presentation of the models of computing and computational complexity for economic theorists' use.
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Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- Acknowledgments -- 1 Introduction -- 1.1. THE MODELING OF COMPUTING AND ECONOMIC AGENTS -- 1.2. COMPLEXITY, MATHEMATICS, AND HUMAN CAPACITIES -- 1.2.1. Complexity and Computability -- 1.3. COMPUTING AND ECONOMIC ORGANIZATION -- 1.4. CHAPTER SUMMARIES -- 2 F Networks -- 2.1. GRAPHS AND TREES -- 2.1.1. The Network Model -- 2.1.2. Conditional Branching -- 2.1.3. Symmetrical Computation -- 3 Networks of Real-Valued Functions -- 3.1. THE LEONTIEF THEOREM -- 3.1.1. Necessary Conditions -- 3.1.2. An Example -- 3.1.3. Sufficient Conditions -- 3.2. LOCAL CONDITIONS -- 3.3. COMPUTABILITY IN EXCESS TIME -- 4 Applications to Economics -- 4.1. COMPUTATION WITH HUMAN AGENTS -- 4.1.1. Example 1: Reading Handwriting -- 4.1.2. Example 2: Chernoff Faces -- 4.2. DECENTRALIZED MECHANISMS -- 4.3. THE EDGEWORTH BOX ECONOMY -- 4.3.1. Linear Coordinate Changes in the Message Space -- 4.3.2. Linear Coordinate Changes in Parameter Spaces -- 4.4. THE EFFICIENT FRONTIER -- 5 Applications to Games -- 5.1. BARGAINING GAMES -- 5.1.1. Bargaining Games with Quadratic Boundaries -- 5.1.2. The Kalai-Smorodinsky Solution for Quadratic Boundaries -- 5.1.3. The Nash Solution for Quadratic Boundaries -- 5.1.4. Bargaining Games with Cubic Boundaries -- 5.2. COMPUTATIONAL SUPERIORITY AND STRATEGIC ADVANTAGE -- 6 Lower Bounds and Approximations -- 6.1. REVELATION MECHANISMS -- 6.1.1. Constructions -- 6.2. FINITE APPROXIMATIONS -- 6.2.1. Lattice Decomposition of… -- 6.2.2. A Limit Theorem -- 7 Organizations -- 7.1. COORDINATION PROBLEMS -- 7.1.1. Costs of Information Processing and Efficient Assignments -- 7.2. TWO EXAMPLES -- 7.2.1. Example 1 -- 7.2.2. Example 2 -- 7.3. A FORMAL MODEL -- 7.3.1. Technology and Production -- 7.3.2. Efficient Production -- 7.3.3. Information, Communication, and Coordination.

7.4. STRUCTURE OF ORGANIZATIONS -- 7.4.1. Larger Organizations -- 7.4.2. Revised Cost Model -- Appendix A Appendix to Chapter 2: Graph Theory -- Appendix B Appendix to Chapter 3: Real-Valued Functions -- B.1. UNIQUENESS RESULTS -- B.1.1. An Example -- B.2. LEONTIEF'S THEOREM -- B.2.1. An Example -- B.2.2. Example of the General Leontief Theorem in a Low-Dimensional Case -- Appendix C Appendix to Chapter 5: Application to Games -- Bibliography -- Index.

A presentation of the models of computing and computational complexity for economic theorists' use.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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