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Matching Theory

Author : László Lovász
ISBN : 9780821847596
Genre : Mathematics
File Size : 20.85 MB
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This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.
Category: Mathematics

Matching Theory For Wireless Networks

Author : Zhu Han
ISBN : 9783319562520
Genre : Technology & Engineering
File Size : 65.30 MB
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This book provides the fundamental knowledge of the classical matching theory problems. It builds up the bridge between the matching theory and the 5G wireless communication resource allocation problems. The potentials and challenges of implementing the semi-distributive matching theory framework into the wireless resource allocations are analyzed both theoretically and through implementation examples. Academics, researchers, engineers, and so on, who are interested in efficient distributive wireless resource allocation solutions, will find this book to be an exceptional resource.
Category: Technology & Engineering

Best Matching Theory Applications

Author : Mohsen Moghaddam
ISBN : 9783319460703
Genre : Technology & Engineering
File Size : 70.58 MB
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Mismatch or best match? This book demonstrates that best matching of individual entities to each other is essential to ensure smooth conduct and successful competitiveness in any distributed system, natural and artificial. Interactions must be optimized through best matching in planning and scheduling, enterprise network design, transportation and construction planning, recruitment, problem solving, selective assembly, team formation, sensor network design, and more. Fundamentals of best matching in distributed and collaborative systems are explained by providing: § Methodical analysis of various multidimensional best matching processes § Comprehensive taxonomy, comparing different best matching problems and processes § Systematic identification of systems’ hierarchy, nature of interactions, and distribution of decision-making and control functions § Practical formulation of solutions based on a library of best matching algorithms and protocols, ready for direct applications and apps development. Designed for both academics and practitioners, oriented to systems engineers and applied operations researchers, diverse types of best matching processes are explained in production, manufacturing, business and service, based on a new reference model developed at Purdue University PRISM Center: “The PRISM Taxonomy of Best Matching”. The book concludes with major challenges and guidelines for future basic and applied research in the area of best matching.
Category: Technology & Engineering

Broadband Matching Theory And Implementations

Author : Wai-Kai Chen
ISBN : 9810214537
Genre : Technology & Engineering
File Size : 65.11 MB
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The solutions to problems in the text Broadband Matching: Theory and Implementations are presented in this book. It contains detailed solutions to most problems in the text except some proofs of identities and theorems and the verification of solutions. Many of the design problems are given in numerical details for the benefit of those who wish to perform the design themselves.
Category: Technology & Engineering

Broadband Matching

Author : Wai-Kai Chen
ISBN : 9789814619080
Genre : Technology & Engineering
File Size : 53.3 MB
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The third edition presents a unified, up-to-date and detailed account of broadband matching theory and its applications to the design of broadband matching networks and amplifiers. A special feature is the addition of results that are of direct practical value. They are design curves, tables and explicit formulas for designing networks having Butterworth, Chebyshev or elliptic, Bessel or maximally flat group-delay response. These results are extremely useful as the design procedures can be reduced to simple arithmetic. Two case studies towards the end of the book are intended to demonstrate the applications to the practical design of modern filter circuits. Contents:Foundations of Network TheoryThe Scattering MatrixApproximation and Ladder RealizationTheory of Broadband Matching: The Passive LoadTheory of Broadband Matching: The Active LoadExplicit Design Formulas for Broadband Matching NetworksBroadband Matching of Frequency-Dependent Source and LoadReal-Frequency Solutions of the Broadband Matching ProblemThe Maximally-Flat Time Delay Approximation: The Bessel–Thomson ResponseDiplexer and Multiplexer Design Readership: Students in Electrical and Electronics Engineering, Network Engineering, Broadband Engineering. Keywords:Filters;Broadband Matching;Network Theory;Scattering Matrix;Approximation;Ladder Realization;Active Load Match;Passive Load Match;Explicit Formulas;Circuits;Broadband Limitation;Matching Networks;Passive Filters;Filter Characteristics;Frequency Dependent Load;Frequency Dependent Source;Real Frequency Solutions
Category: Technology & Engineering

Essays On Matching Theory And Behavioral Market Design

Author : Siqi Pan
ISBN : OCLC:998832253
Genre : Economics
File Size : 69.93 MB
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This dissertation focuses on the design and implementation of matching markets where transfers are not available, such as college admissions, school choice, and certain labor markets. The results contribute to the literature from both a theoretical and a behavioral perspective, and may have policy implications for the design of some real-life matching markets. Chapter 1, “Exploding Offers and Unraveling in Two-Sided Matching Markets,” studies the unraveling problem prevalent in many two-sided matching markets that occurs when transactions become inefficiently early. In a two-period decentralized model, I examine whether the use of exploding offers can affect agents' early moving incentives. The results show that when the culture of the market allows firms to make exploding offers, unraveling is more likely to occur, leading to a less socially desirable matching outcome. A market with an excess supply of labor is less vulnerable to the presence of exploding offers; yet the conclusion is ambiguous for a market with a greater degree of uncertainty in early stages, which depends on the specific information structure. While a policy banning exploding offers tends to be supported by high quality firms and workers, it can be opposed by those of lower quality. This explains the prevalence of exploding offers in practice. Chapter 2, “Constrained School Choice and Information Acquisition,” investigates a common practice of many school choice programs in the field, where the length of students' submitted preference lists are constrained. In an environment where students have incomplete information about others’ preferences, I theoretically study the effect of such a constraint under both a Deferred Acceptance mechanism (DA) and a Boston mechanism (BOS). The result shows that ex-ante stability can only be ensured under an unconstrained DA, but not under a constrained DA, an unconstrained BOS, or a constrained BOS. In a lab experiment, I find that the constraint also affects students’ information acquisition behavior. Specifically, when faced with a constraint, students tend to acquire less wasteful information and distribute more efforts to acquire relevant information under DA; such an effect is not significant under BOS. Overall, the constraint has a negative effect on efficiency and stability under both mechanisms. Chapter 3, “Targeted Advertising on Competing Platforms,” is jointly written with Huanxing Yang. We investigate targeted advertising in two-sided markets. Each of the two competing platforms has single-homing consumers on one side and multi-homing advertising firms on the other. We focus on how asymmetry in platforms’ targeting abilities translates into asymmetric equilibrium outcomes, and how changes in targeting ability affect the price and volume of ads, consumer welfare, and advertising firms' profits. We also compare social incentives and equilibrium incentives in investing in targeting ability. Chapter 4, “The Instability of Matching with Overconfident Agents: Laboratory and Field Investigations,” focuses on centralized college admissions markets where students are evaluated and allocated based on their performance on a standardized exam. A single exam’s measurement error causes the exam-based priorities to deviate from colleges' aptitude-based preferences: a student who underperforms in one exam may lose her placement at a preferred college to someone with a lower aptitude. The previous literature proposes a solution of combining a Boston algorithm with pre-exam preference submission. Under the assumption that students have perfect knowledge of their relative aptitudes before taking the exam, the suggested mechanism intends to trigger a self-sorting process, with students of higher (lower) aptitudes targeting more (less) preferred colleges. However, in a laboratory experiment, I find that such a self-sorting process is skewed by overconfidence, which leads to a welfare loss larger than the purported benefits. Moreover, the mechanism introduces unfairness by rewarding overconfidence and punishing underconfidence, thus serving as a gender penalty for women. I also analyze field data from Chinese high schools; the results suggest similar conclusions as in the lab.
Category: Economics

The Act Of Choosing

Author : Russell Foote Rhyne
ISBN : 9780595290390
Genre : Body, Mind & Spirit
File Size : 90.54 MB
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Choosing: Selecting a path when reason cannot show which way to go Choosing pervades out lives, nourished by evolutionary roots that stretch back 4,000,000 years. It activates freedom and indexes social openness, and only the person who chooses can mature. One who chooses not to choose ignobly shuns responsibility and cannot honorably say, "I". Choosing, central to initiative, sparks the economy that feeds earth's swollen population. Choosing works on policy issues that dispassionate reason cannot handle, and nothing less than good choosing will see us through these "interesting times". However, the melding of reason with choosing gave our species its edge over all the other hominids Context matching theory helps us (voters, CEOs, legislators) choose well, by telling us the nature of the act of choosing. CM theory directly opposes DA's rational models, painting choosing as a swift, natural happening, basically intuitive and non-mystical. It exposes the prerequisites to good choosing. Theoretical = impractical? No way. "There is nothing so practical as a good theory" (Kurt Lewin), and Dr. Rhyne spends two thirds of this book exploring the many very practical, often revolutionary implications of his "good theory". Do you want to choose better? Learn how you choose.
Category: Body, Mind & Spirit

Matching Theory

Author : L. H. Harper
ISBN : OCLC:9138772
Genre : Matching theory
File Size : 58.64 MB
Format : PDF
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Category: Matching theory

Statistical Matching

Author : Marcello D'Orazio
ISBN : 9780470023549
Genre : Mathematics
File Size : 83.42 MB
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There is more statistical data produced in today’s modern society than ever before. This data is analysed and cross-referenced for innumerable reasons. However, many data sets have no shared element and are harder to combine and therefore obtain any meaningful inference from. Statistical matching allows just that; it is the art of combining information from different sources (particularly sample surveys) that contain no common unit. In response to modern influxes of data, it is an area of rapidly growing interest and complexity. Statistical Matching: Theory and Practice introduces the basics of statistical matching, before going on to offer a detailed, up-to-date overview of the methods used and an examination of their practical applications. Presents a unified framework for both theoretical and practical aspects of statistical matching. Provides a detailed description covering all the steps needed to perform statistical matching. Contains a critical overview of the available statistical matching methods. Discusses all the major issues in detail, such as the Conditional Independence Assumption and the assessment of uncertainty. Includes numerous examples and applications, enabling the reader to apply the methods in their own work. Features an appendix detailing algorithms written in the R language. Statistical Matching: Theory and Practice presents a comprehensive exploration of an increasingly important area. Ideal for researchers in national statistics institutes and applied statisticians, it will also prove to be an invaluable text for scientists and researchers from all disciplines engaged in the multivariate analysis of data collected from different sources.
Category: Mathematics