Complexity Theory, Game Theory, and Economics

Complexity Theory, Game Theory, and Economics PDF

Author: Tim Roughgarden

Publisher:

Published: 2020-03-02

Total Pages: 204

ISBN-13: 9781680836547

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This monograph comprises a series of ten lectures divided into two parts. Part 1 focuses on the communication and computational complexity of computing an (approximate) Nash equilibrium. Part 2 focuses on applications of computational complexity theory to game theory and economics.

Economics and Computation

Economics and Computation PDF

Author: Jörg Rothe

Publisher: Springer

Published: 2015-08-18

Total Pages: 612

ISBN-13: 3662479044

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This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.

Twenty Lectures on Algorithmic Game Theory

Twenty Lectures on Algorithmic Game Theory PDF

Author: Tim Roughgarden

Publisher: Cambridge University Press

Published: 2016-08-30

Total Pages: 356

ISBN-13: 1316781178

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Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.

Game Theory

Game Theory PDF

Author: Aviad Heifetz

Publisher: Cambridge University Press

Published: 2012-05-31

Total Pages: 461

ISBN-13: 0521176042

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A guide to the fundamentals of game theory for undergraduates and MBA students.

Foundations and Applications of Complexity Economics

Foundations and Applications of Complexity Economics PDF

Author: J. Barkley Rosser, Jr.

Publisher: Springer Nature

Published: 2021-05-21

Total Pages: 174

ISBN-13: 3030706680

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This book presents a survey of the aspects of economic complexity, with a focus on foundational, interdisciplinary ideas. The long-awaited follow up to his 2011 volume Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems: From Catastrophe to Chaos and Beyond, this volume draws together the threads of Rosser’s earlier work on complexity theory and its wide applications in economics and an expanded list of related disciplines. The book begins with a full account of the broader categories of complexity in economics--dynamic, computational, hierarchical, and structural--before shifting to more detailed analysis. The next two chapters address problems associated with computational complexity, especially those of computability, and discuss the Godel Incompleteness Theorem with a focus on reflexivity. The middle chapters discuss the relationship between entropy, econophysics, evolution, and economic complexity, respectively, with applications in urban and regional dynamics, ecological economics, general equilibrium theory, as well as financial market dynamics. The final chapter works to bring together these themes into a broader framework and expose some of the limits concerning analysis of deeper foundational issues. With applications in all disciplines characterized by interconnected nonlinear adaptive systems, this book is appropriate for graduate students, professors and practitioners in economics and related disciplines such as regional science, mathematics, physics, biology, environmental sciences, philosophy, and psychology.

The Origin of Wealth

The Origin of Wealth PDF

Author: Eric D. Beinhocker

Publisher: Harvard Business Press

Published: 2006

Total Pages: 556

ISBN-13: 9781578517770

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Beinhocker has written this work in order to introduce a broad audience to what he believes is a revolutionary new paradigm in economics and its implications for our understanding of the creation of wealth. He describes how the growing field of complexity theory allows for evolutionary understanding of wealth creation, in which business designs co-evolve with the evolution of technologies and organizational innovations. In addition to giving his audience a tour of this field of complexity economics, he discusses its implications for real-world issues of business.

Computation and Complexity in Economic Behavior and Organization

Computation and Complexity in Economic Behavior and Organization PDF

Author: Kenneth R. Mount

Publisher: Cambridge University Press

Published: 2002-06-24

Total Pages: 251

ISBN-13: 1139433733

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This book presents a model of computing and a measure of computational complexity which are intended to facilitate analysis of computations performed by people, machines, or a mixed system of people and machines. The model is designed to apply directly to models of economic theory, which typically involve continuous variables and smooth functions, without requiring analysis of approximations. The model permits analysis of the feasibility and complexity of the calculations required of economic agents in order for them to arrive at their decisions. The treatment contains applications of the model to game theory and economics, including comparison of the complexities of different solution concepts in certain bargaining games, and the trade-off between communication and computation in an example of an Edgeworth Box economy.

Complexity in Economics: Cutting Edge Research

Complexity in Economics: Cutting Edge Research PDF

Author: Marisa Faggini

Publisher: Springer

Published: 2014-06-26

Total Pages: 250

ISBN-13: 3319051857

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In this book, leading experts discuss innovative components of complexity theory and chaos theory in economics. The underlying perspective is that investigations of economic phenomena should view these phenomena not as deterministic, predictable and mechanistic but rather as process dependent, organic and always evolving. The aim is to highlight the exciting potential of this approach in economics and its ability to overcome the limitations of past research and offer important new insights. The book offers a stimulating mix of theory, examples and policy. By casting light on a variety of topics in the field, it will provide an ideal platform for researchers wishing to deepen their understanding and identify areas for further investigation.

Complex Social and Behavioral Systems

Complex Social and Behavioral Systems PDF

Author: Marilda Sotomayor

Publisher: Springer

Published: 2020-08-22

Total Pages: 939

ISBN-13: 9781071603697

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This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, combines the main features of Game Theory, covering most of the fundamental theoretical aspects under the cooperative and non-cooperative approaches, with the procedures of Agent-Based Modeling for studying complex systems composed of a large number of interacting entities with many degrees of freedom. In Game Theory, the cooperative approach focuses on the possible outcomes of the decision-makers’ interaction by abstracting from the "rational" actions or decisions that may lead to these outcomes. The non-cooperative approach focuses on the actions that the decision-makers can take. As John von Neumann and Oskar Morgenstern argued in their path-breaking book of 1944 entitled Theory of Games and Economic Behavior, most economic questions should be analyzed as games. The models of game theory are abstract representations of a number of real-life situations and have applications to economics, political science, computer science, evolutionary biology, social psychology, and law among others. Agent-Based Modeling (ABM) is a relatively new computational modeling paradigm which aims to construct the computational counterpart of a conceptual model of the system under study on the basis of discrete entities (i.e., the agent) with some properties and behavioral rules, and then to simulate them in a computer to mimic the real phenomena. Given the relative immaturity of this modeling paradigm, and the broad spectrum of disciplines in which it is applied, a clear cut and widely accepted definition of high level concepts of agents, environment, interactions and so on, is still lacking. This volume explores the state-of-the-art in the development of a real ABM ontology to address the epistemological issues related to this emerging paradigm for modeling complex systems.

Rock, Paper, Scissors

Rock, Paper, Scissors PDF

Author: Len Fisher

Publisher: Basic Books

Published: 2008-11-04

Total Pages: 288

ISBN-13: 0786726938

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Praised by Entertainment Weekly as “the man who put the fizz into physics,” Dr. Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.