The Theory of Positional Games with Applications in Economics

The Theory of Positional Games with Applications in Economics

Author: Iosif A. Krass

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 236

ISBN-13: 1483258084

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The Theory of Positional Games with Applications in Economics deals with information and probabilistic extension of games in extensive forms, in normal forms, and to the existence of solutions of infinite games. The text also explains the application of existence of a solution to a von Neumann model with conflict interaction, and the theory of differential games based on Isaac's equations. The text describes in detail the definitions of a difference game, control sets of players, general strategies, optimal behavioral strategies. Isaac's approach to differential games is based primarily on the assumption of the sufficient smoothness of a Bellman's function. Bellman's function becomes smooth if control functions satisfy certain regularity conditions and smoothness conditions. Other approaches to differential games include the geometric properties of games and those of Avner Friedman and Nokolai Krasovsky. The computation of behavioral strategies in the Friedman approach is primarily based on Isaac's approach. Krasovky's approach is somewhat a generalization of both the geometrical approach and Friedman's approximation approach. The book is suitable for economists, statistician, mathematicians, students or professors of economics, business, and games theory.


Positional Games

Positional Games

Author: Dan Hefetz

Publisher: Springer

Published: 2014-06-13

Total Pages: 154

ISBN-13: 3034808259

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This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.


Theory of Games and Economic Behavior

Theory of Games and Economic Behavior

Author: John Von Neumann

Publisher: Diana

Published: 2020-01-29

Total Pages: 660

ISBN-13: 9785608789779

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This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.


Grey Game Theory and Its Applications in Economic Decision-Making

Grey Game Theory and Its Applications in Economic Decision-Making

Author: Zhigeng Fang

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 364

ISBN-13: 1420087401

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To make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Ga


Asymptotic Theory for Econometricians

Asymptotic Theory for Econometricians

Author: Halbert White

Publisher: Academic Press

Published: 2014-06-28

Total Pages: 241

ISBN-13: 1483294420

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This book is intended to provide a somewhat more comprehensive and unified treatment of large sample theory than has been available previously and to relate the fundamental tools of asymptotic theory directly to many of the estimators of interest to econometricians. In addition, because economic data are generated in a variety of different contexts (time series, cross sections, time series--cross sections), we pay particular attention to the similarities and differences in the techniques appropriate to each of these contexts.


Microeconomic Modeling and Policy Analysis

Microeconomic Modeling and Policy Analysis

Author: Thomas G. Cowing

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 309

ISBN-13: 1483268497

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Microeconomic Modeling and Policy Analysis: Studies in Residential Energy Demand analyzes the aggregates and distributional impacts from alternative energy polices related to the energy demands of residential consumers. The book also analyzes the use of micro-simulation models in the study. The book examines three alternative energy policies and their possible impacts on the residential energy demand. The text describes models on energy use including general micro-simulation and micro-simulation as applied in ""Residential End-Use Energy Planning Systems"" (REEPS) and the Oak Ridge National Laboratory (ORNL) Residential Energy Consumption Model. The book describes REEPS as a model providing end-use specific forecasts of energy consumption at the household level. The text describes ORNL as a computationally simpler design but conceptually more complex one. The book then evaluates three different policy scenarios using each of these two models. The performance of REEPS and ORNL, as well as other dimensions of model projections, is examined. The implications regarding 1) policy analysis and 2) the use of micro simulation models are noted. The book then presents a table that summarizes the results of the comparative model evaluation. Energy policymakers, city and local government planning officials, development engineers, and environmentalists will find this book very relevant.


Classics in Game Theory

Classics in Game Theory

Author: Harold William Kuhn

Publisher: Princeton University Press

Published: 2020-11-10

Total Pages: 328

ISBN-13: 1400829151

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Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.


General Equilibrium Models of Monetary Economies

General Equilibrium Models of Monetary Economies

Author: Ross M. Starr

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 364

ISBN-13: 1483273512

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General Equilibrium Models of Monetary Economies: Studies in the Static Foundations of Monetary Theory is a collection of essays that addresses the integration of the theory of money and the theory of value by using a mathematical general equilibrium theory. The papers discuss monetary theory, microeconomic theory, bilateral trade, transactions costs, intertemporal allocation, and the value of money. The Arrow-Debreu model of Walrasian general equilibrium theory provides a framework to represent money as a device for facilitating trade among economic agents without the use of money as a medium of exchange and as a store of value. The essays analyze the rationale for using a medium of exchange, for using a store of value, and for holding of idle balances in equilibrium. The essays show that by explicit modeling of the structure and difficulties of trade, a powerful class of models which deny money and finance a role in the economy, has by itself shown to have provided the foundation for the structures of trade. The collection will prove helpful for economists, statistician, mathematicians, students or professors of economics and business.


Markov Decision Processes and Stochastic Positional Games

Markov Decision Processes and Stochastic Positional Games

Author: Dmitrii Lozovanu

Publisher: Springer Nature

Published: 2024-02-13

Total Pages: 412

ISBN-13: 3031401808

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This book presents recent findings and results concerning the solutions of especially finite state-space Markov decision problems and determining Nash equilibria for related stochastic games with average and total expected discounted reward payoffs. In addition, it focuses on a new class of stochastic games: stochastic positional games that extend and generalize the classic deterministic positional games. It presents new algorithmic results on the suitable implementation of quasi-monotonic programming techniques. Moreover, the book presents applications of positional games within a class of multi-objective discrete control problems and hierarchical control problems on networks. Given its scope, the book will benefit all researchers and graduate students who are interested in Markov theory, control theory, optimization and games.