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What is the best way to auction an asset? How should a group of people organize themselves to ensure the best provision of public goods? How should exchanges be organized? In An Introduction to the Theory of Mechanism Design, Tilman Börgers addresses these questions and more through an exploration of the economic theory of mechanism design. Mechanism design is reverse game theory. Whereas game theory takes the rules of the game as a given and makes predictions about the behavior of strategic players, the theory of mechanism design goes a step further and selects the optimal rules of the game. A relatively new economic theory, mechanism design studies the instrument itself as well as the results of the instrument. An Introduction to the Theory of Mechanism Design provides rigorous but accessible explanations of classic results in the theory of mechanism design, such as Myerson's theorem on expected revenue maximizing auctions, Myerson and Satterthwaite's theorem on the impossibility of ex post efficient bilateral trade with asymmetric information, and Gibbard and Satterthwaite's theorem on the non-existence of dominant strategy voting mechanisms. Börgers also provides an examination of the frontiers of current research in the area with an original and unified perspective that will appeal to advanced students of economics.
Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.
• Learn to simulate the performance of your designs without costly prototypes • Addresses all the essential tools of mechanism design with Creo • Guides you through the assembly and analysis of a slider-crank mechanism • Describes types of simple and special connections, servos, and motor functions • Allows you to learn the basics of mechanism design in about two hours Creo 8.0 Mechanism Design Tutorial neatly encapsulates what you need to know about the essential tools and features of Mechanism Design with Creo: how to set up models, define analyses, and display and review results. If you have a working knowledge of Creo Parametric in Assembly mode, this short but substantial tutorial is for you. You will learn to create kinematic models of 2D and 3D mechanisms by using special assembly connections, define motion drivers, set up and run simulations, and display and critically review results in a variety of formats. This includes creating graphs of important results as well as space claim and interference analyses. Common issues that arise during mechanism design are briefly addressed and extra references listed so you can work through them when encountered. In Detail If you ever need to model a device where parts and subassemblies can move relative to each other, you will want to use the world-renowned mechanism functions in Creo. Creo’s Mechanism Design functions allow you to examine the kinematic properties of your device: range of motion and motion envelopes, potential interference between moving bodies, and kinematic relationships (position, velocity, acceleration) between bodies for prescribed motions. With these functions, you will better predict the actual performance of the device and create design improvements without the expense of costly prototypes, saving you time, money and worry. With this tutorial, you will assemble and analyze a simple slider-crank mechanism. Each chapter has a clear focus that follows the workflow sequence, and parts are provided for the exercise that include creating connections, servos, and analyses. This is followed by graph plotting, collision detection, and motion envelope creation. You can choose to quickly cover all the essential operations of mechanism design in about two hours by following the steps covered at the beginning of chapters 2-5, or you can complete the full chapters or come back to them as needed. Plenty of figures, screenshots and animations help facilitate understanding of parts and concepts. Once you have completed chapters 2-5 and the slider-crank mechanism, chapter 6 familiarizes you with special connections in Mechanism Design: gears (spur gears, worm gears, rack and pinion), cams, and belt drives. The final chapter presents a number of increasingly complex models (for which parts are provided) that you can assemble and use to explore the functions and capability of Mechanism Design in more depth. These examples, including an In-line Reciprocator, Variable Pitch Propeller and Stewart Platform, explore all the major topics covered in the book. Topics Covered • Connections: cylinder, slider, pin, bearing, planar, ball, gimbal, slot, rigid/weld, general • Servos and motor function types: ramp, cosine, parabolic, polynomial, cycloidal, table, user defined • Tools for viewing analysis results: trace curve, motion envelope, user defined measures, animations, collision/interference detection; analysis problems • Special connections: spur gear, worm gear, rack and pinion, cams and belts Table of Contents 1. Introduction to Creo Mechanism Design 2. Making Connections 3. Creating Motion Drivers 4. Setting up and Running an Analysis 5. Tools for Viewing Results 6. Special Connections 7. Exercises List of Animations
Introduction to Mechanism Design: with Computer Applications provides an updated approach to undergraduate Mechanism Design and Kinematics courses/modules for engineering students. The use of web-based simulations, solid modeling, and software such as MATLAB and Excel is employed to link the design process with the latest software tools for the design and analysis of mechanisms and machines. While a mechanical engineer might brainstorm with a pencil and sketch pad, the final result is developed and communicated through CAD and computational visualizations. This modern approach to mechanical design processes has not been fully integrated in most books, as it is in this new text.
In the field of mechanism design, kinematic synthesis is a creative means to produce mechanism solutions. Combined with the emergence of powerful personal computers, mathematical analysis software and the development of quantitative methods for kinematic synthesis, there is an endless variety of possible mechanism solutions that users are free to e
This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society.The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sciences being awarded to game theorists, including the 2005, 2007, and 2012 prizes. The book distills the marvelous contributions of these and other celebrated game theorists and presents it in a way that can be easily understood even by senior undergraduate students.A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience.After a thorough reading of this book, readers would be able to apply game theory and mechanism design in a principled and mature way to solve relevant problems in computer science (esp, artificial intelligence/machine learning), computer engineering, operations research, industrial engineering and microeconomics.
A mechanism is a mathematical structure that models institutions through which economic activity is guided and coordinated. There are many such institutions; markets are the most familiar ones. Lawmakers, administrators and officers of private companies create institutions in order to achieve desired goals. They seek to do so in ways that economize on the resources needed to operate the institutions, and that provide incentives that induce the required behaviors. This book presents systematic procedures for designing mechanisms that achieve specified performance, and economize on the resources required to operate the mechanism. The systematic design procedures are algorithms for designing informationally efficient mechanisms. Most of the book deals with these procedures of design. When there are finitely many environments to be dealt with, and there is a Nash-implementing mechanism, our algorithms can be used to make that mechanism into an informationally efficient one. Informationally efficient dominant strategy implementation is also studied.
This monograph focuses on exploring game theoretic modeling and mechanism design for problem solving in Internet and network economics. For the first time, the main theoretical issues and applications of mechanism design are bound together in a single text.
Traditionally, mechanisms are created by designer's intuition, ingenuity, and experience. However, such an ad hoc approach cannot ensure the identification of all possible design alternatives, nor does it necessarily lead to optimum design. Mechanism Design: Enumeration of Kinematic Structures According to Function introduces a methodology for systematic creation and classification of mechanisms. With a partly analytical and partly algorithmic approach, the author uses graph theory, combinatorial analysis, and computer algorithms to create kinematic structures of the same nature in a systematic and unbiased manner. He sketches mechanism structures, evaluating them with respect to the remaining functional requirements, and provides numerous atlases of mechanisms that can be used as a source of ideas for mechanism and machine design. He bases the book on the idea that some of the functional requirements of a desired mechanism can be transformed into structural characteristics that can be used for the enumeration of mechanisms. The most difficult problem most mechanical designers face at the conceptual design phase is the creation of design alternatives. Mechanism Design: Enumeration of Kinematic Structures According to Function presents you with a methodology that is not available in any other resource.