Handbook Of The Shapley Value

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Handbook of the Shapley Value

Encarnación Algaba,Vito Fragnelli,Joaquín Sánchez-Soriano
Handbook of the Shapley Value Book PDF

Author : Encarnación Algaba,Vito Fragnelli,Joaquín Sánchez-Soriano
Publisher : CRC Press
Page : 607 pages
File Size : 55,6 Mb
Release : 2019-12-06
Category : Business & Economics
ISBN : 9781351241403

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Handbook of the Shapley Value by Encarnación Algaba,Vito Fragnelli,Joaquín Sánchez-Soriano Pdf

Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences jointly with Lloyd Shapley in 2012. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953. The first chapter, by William Thomson, places the Shapley value in the broader context of the theory of cooperative games, and briefly introduces each of the individual contributions to the volume. This is followed by a further contribution from the editors of the volume, which serves to introduce the more significant features of the Shapley value. The rest of the chapters in the book deal with different theoretical or applied aspects inspired by this interesting value and have been contributed specifically for this volume by leading experts in the area of Game Theory. Chapters 3 through to 10 are more focused on theoretical aspects of the Shapley value, Chapters 11 to 15 are related to both theoretical and applied areas. Finally, from Chapter 16 to Chapter 24, more attention is paid to applications of the Shapley value to different problems encountered across a diverse range of fields. As expressed by William Thomson in the Introduction to the book, "The chapters contribute to the subject in several dimensions: Mathematical foundations; axiomatic foundations; computations; applications to special classes of games; power indices; applications to enriched classes of games; applications to concretely specified allocation problems: an ever-widening range, mapping allocation problems into games or implementation." Nowadays, the Shapley value continues to be as appealing as when it was first introduced in 1953, or perhaps even more so now that its potential is supported by the quantity and quality of the available results. This volume collects a large amount of work that definitively demonstrates that the Shapley value provides answers and solutions to a wide variety of problems.

Interpretable Machine Learning

Christoph Molnar
Interpretable Machine Learning Book PDF

Author : Christoph Molnar
Publisher : Lulu.com
Page : 320 pages
File Size : 40,5 Mb
Release : 2020
Category : Artificial intelligence
ISBN : 9780244768522

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Interpretable Machine Learning by Christoph Molnar Pdf

This book is about making machine learning models and their decisions interpretable. After exploring the concepts of interpretability, you will learn about simple, interpretable models such as decision trees, decision rules and linear regression. Later chapters focus on general model-agnostic methods for interpreting black box models like feature importance and accumulated local effects and explaining individual predictions with Shapley values and LIME. All interpretation methods are explained in depth and discussed critically. How do they work under the hood? What are their strengths and weaknesses? How can their outputs be interpreted? This book will enable you to select and correctly apply the interpretation method that is most suitable for your machine learning project.

Bargaining with Incomplete Information

Peter B. Linhart,Roy Radner,Mark A. Satterthwaite
Bargaining with Incomplete Information Book PDF

Author : Peter B. Linhart,Roy Radner,Mark A. Satterthwaite
Publisher : Unknown
Page : 576 pages
File Size : 45,8 Mb
Release : 1992
Category : Negotiation
ISBN : UCSC:32106010486725

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Bargaining with Incomplete Information by Peter B. Linhart,Roy Radner,Mark A. Satterthwaite Pdf

These 22 contributions to the economic theory of non co-operative bargaining show how incomplete information, small numbers of agents, and the rules governing negotiation interact to cause inefficiency, indeterminacy and delay in bargaining outcomes.

Handbook on the Economics of Copyright

Richard Watt
Handbook on the Economics of Copyright Book PDF

Author : Richard Watt
Publisher : Edward Elgar Publishing
Page : 361 pages
File Size : 42,9 Mb
Release : 2014-09-26
Category : Law
ISBN : 9781849808538

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Handbook on the Economics of Copyright by Richard Watt Pdf

Featuring expert contributors from around the world, this book offers insight into the vital theoretical and practical aspects of the economics of copyright. Topics discussed include fair use, performers� rights, copyright and trade, online music strea

Handbook of Game Theory with Economic Applications

R.J. Aumann,S. Hart
Handbook of Game Theory with Economic Applications Book PDF

Author : R.J. Aumann,S. Hart
Publisher : Elsevier
Page : 824 pages
File Size : 48,9 Mb
Release : 1992
Category : Business & Economics
ISBN : 0444894276

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Handbook of Game Theory with Economic Applications by R.J. Aumann,S. Hart Pdf

This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Contributions to the Theory of Games (AM-28), Volume II

Harold William Kuhn,Albert William Tucker
Contributions to the Theory of Games AM 28 Volume II Book PDF

Author : Harold William Kuhn,Albert William Tucker
Publisher : Princeton University Press
Page : 408 pages
File Size : 44,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881970

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Contributions to the Theory of Games (AM-28), Volume II by Harold William Kuhn,Albert William Tucker Pdf

These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.

Transactions on Computational Collective Intelligence XXXVI

Ngoc Thanh Nguyen,Ryszard Kowalczyk,Anna Motylska-Kuźma,Jacek Mercik
Transactions on Computational Collective Intelligence XXXVI Book PDF

Author : Ngoc Thanh Nguyen,Ryszard Kowalczyk,Anna Motylska-Kuźma,Jacek Mercik
Publisher : Springer Nature
Page : 172 pages
File Size : 53,9 Mb
Release : 2021-12-04
Category : Computers
ISBN : 9783662645635

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Transactions on Computational Collective Intelligence XXXVI by Ngoc Thanh Nguyen,Ryszard Kowalczyk,Anna Motylska-Kuźma,Jacek Mercik Pdf

These transactions publish research in computer-based methods of computational collective intelligence (CCI) and their applications in a wide range of fields such as performance optimization in IoT, big data, reliability, privacy, security, service selection, QoS and machine learning. This 36th issue contains 7 selected papers which present new findings and innovative methodologies as well as discuss issues and challenges in the field of collective intelligence from big data and networking paradigms while addressing security, privacy, reliability and optimality to achieve QoS to the benefit of final users This is an open access book.

The Shapley Value

Alvin E. Roth
The Shapley Value Book PDF

Author : Alvin E. Roth
Publisher : Cambridge University Press
Page : 342 pages
File Size : 44,5 Mb
Release : 1988-10-28
Category : Business & Economics
ISBN : 9781107717213

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The Shapley Value by Alvin E. Roth Pdf

Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of large markets, to problems of cost allocation, and to the study of games in which utility is not transferable.

The Routledge Handbook of the Philosophy of Economics

Conrad Heilmann,Julian Reiss
The Routledge Handbook of the Philosophy of Economics Book PDF

Author : Conrad Heilmann,Julian Reiss
Publisher : Taylor & Francis
Page : 533 pages
File Size : 42,9 Mb
Release : 2021-11-29
Category : Philosophy
ISBN : 9781317578062

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The Routledge Handbook of the Philosophy of Economics by Conrad Heilmann,Julian Reiss Pdf

The most fundamental questions of economics are often philosophical in nature, and philosophers have, since the very beginning of Western philosophy, asked many questions that current observers would identify as economic. The Routledge Handbook of Philosophy of Economics is an outstanding reference source for the key topics, problems, and debates at the intersection of philosophical and economic inquiry. It captures this field of countless exciting interconnections, affinities, and opportunities for cross-fertilization. Comprising 35 chapters by a diverse team of contributors from all over the globe, the Handbook is divided into eight sections: I. Rationality II. Cooperation and Interaction III. Methodology IV. Values V. Causality and Explanation VI. Experimentation and Simulation VII. Evidence VIII. Policy The volume is essential reading for students and researchers in economics and philosophy who are interested in exploring the interconnections between the two disciplines. It is also a valuable resource for those in related fields like political science, sociology, and the humanities.

Frontiers of Dynamic Games

Leon A. Petrosyan,Vladimir V. Mazalov,Nikolay A. Zenkevich
Frontiers of Dynamic Games Book PDF

Author : Leon A. Petrosyan,Vladimir V. Mazalov,Nikolay A. Zenkevich
Publisher : Springer Nature
Page : 302 pages
File Size : 41,5 Mb
Release : 2022-03-09
Category : Mathematics
ISBN : 9783030936167

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Frontiers of Dynamic Games by Leon A. Petrosyan,Vladimir V. Mazalov,Nikolay A. Zenkevich Pdf

This book features contributions from the GTM 2020 International Meeting on Game Theory held virtually from St. Petersburg, Russia, including presentations by plenary speakers. The topics cover a wide range of game-theoretic models and include both theory and applications, including applications to management.

Fair Division and Collective Welfare

Herve Moulin
Fair Division and Collective Welfare Book PDF

Author : Herve Moulin
Publisher : MIT Press
Page : 302 pages
File Size : 40,8 Mb
Release : 2004-08-20
Category : Business & Economics
ISBN : 0262633116

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Fair Division and Collective Welfare by Herve Moulin Pdf

The concept of fair division is as old as civil society itself. Aristotle's "equal treatment of equals" was the first step toward a formal definition of distributive fairness. The concept of collective welfare, more than two centuries old, is a pillar of modern economic analysis. Reflecting fifty years of research, this book examines the contribution of modern microeconomic thinking to distributive justice. Taking the modern axiomatic approach, it compares normative arguments of distributive justice and their relation to efficiency and collective welfare. The book begins with the epistemological status of the axiomatic approach and the four classic principles of distributive justice: compensation, reward, exogenous rights, and fitness. It then presents the simple ideas of equal gains, equal losses, and proportional gains and losses. The book discusses three cardinal interpretations of collective welfare: Bentham's "utilitarian" proposal to maximize the sum of individual utilities, the Nash product, and the egalitarian leximin ordering. It also discusses the two main ordinal definitions of collective welfare: the majority relation and the Borda scoring method. The Shapley value is the single most important contribution of game theory to distributive justice. A formula to divide jointly produced costs or benefits fairly, it is especially useful when the pattern of externalities renders useless the simple ideas of equality and proportionality. The book ends with two versatile methods for dividing commodities efficiently and fairly when only ordinal preferences matter: competitive equilibrium with equal incomes and egalitarian equivalence. The book contains a wealth of empirical examples and exercises.

Transactions on Computational Collective Intelligence XXXV

Ngoc Thanh Nguyen,Ryszard Kowalczyk,Jacek Mercik,Anna Motylska-Kuźma
Transactions on Computational Collective Intelligence XXXV Book PDF

Author : Ngoc Thanh Nguyen,Ryszard Kowalczyk,Jacek Mercik,Anna Motylska-Kuźma
Publisher : Springer Nature
Page : 179 pages
File Size : 45,6 Mb
Release : 2020-08-26
Category : Computers
ISBN : 9783662622452

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Transactions on Computational Collective Intelligence XXXV by Ngoc Thanh Nguyen,Ryszard Kowalczyk,Jacek Mercik,Anna Motylska-Kuźma Pdf

These transactions publish research in computer-based methods of computational collective intelligence (CCI) and their applications in a wide range of fields such as performance optimization in IoT, big data, reliability, privacy, security, service selection, QoS and machine learning. This thirty-fifth issue contains 10 selected papers which present new findings and innovative methodologies as well as discuss issues and challenges in the field of collective intelligence from big data and networking paradigms while addressing security, privacy, reliability and optimality to achieve QoS to the benefit of final users.

Advances in Collective Decision Making

Sascha Kurz,Nicola Maaser,Alexander Mayer
Advances in Collective Decision Making Book PDF

Author : Sascha Kurz,Nicola Maaser,Alexander Mayer
Publisher : Springer Nature
Page : 409 pages
File Size : 55,8 Mb
Release : 2023-05-04
Category : Business & Economics
ISBN : 9783031216961

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Advances in Collective Decision Making by Sascha Kurz,Nicola Maaser,Alexander Mayer Pdf

This book presents research on recent developments in collective decision-making. With contributions from leading scholars from a variety of disciplines, it provides an up-to-date overview of applications in social choice theory, welfare economics, and industrial organization. The contributions address, amongst others, topics such as measuring power, the manipulability of collective decisions, and experimental approaches. Applications range from analysis of the complicated institutional rules of the European Union to responsibility-based allocation of cartel damages or the design of webpage rankings. With its interdisciplinary focus, the book seeks to bridge the gap between different disciplinary approaches by pointing to open questions that can only be resolved through collaborative efforts.

Values of Non-Atomic Games

Robert J. Aumann,Lloyd S. Shapley
Values of Non Atomic Games Book PDF

Author : Robert J. Aumann,Lloyd S. Shapley
Publisher : Princeton University Press
Page : 348 pages
File Size : 40,8 Mb
Release : 2015-03-08
Category : Mathematics
ISBN : 9781400867080

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Values of Non-Atomic Games by Robert J. Aumann,Lloyd S. Shapley Pdf

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.

A Course in Game Theory

Martin J. Osborne,Ariel Rubinstein
A Course in Game Theory Book PDF

Author : Martin J. Osborne,Ariel Rubinstein
Publisher : MIT Press
Page : 374 pages
File Size : 49,8 Mb
Release : 1994-07-12
Category : Business & Economics
ISBN : 0262650401

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A Course in Game Theory by Martin J. Osborne,Ariel Rubinstein Pdf

A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.