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Chapters in Game Theory
  • Language: en
  • Pages: 327

Chapters in Game Theory

Chapters in Game Theory has been written on the occasion of the 65th birthday of Stef Tijs, who can be regarded as the godfather of game theory in the Netherlands. The contributors all are indebted to Stef Tijs, as former Ph.D. students or otherwise. The book contains fourteen chapters on a wide range of subjects. Some of these can be considered surveys while other chapters present new results: most contributions can be positioned somewhere in between these categories. The topics covered include: cooperative stochastic games; noncooperative stochastic games; sequencing games; games arising form linear (semi-) infinite programming problems; network formation, costs and potential games; potentials and consistency in transferable utility games; the nucleolus and equilibrium prices; population uncertainty and equilibrium selection; cost sharing; centrality in social networks; extreme points of the core; equilibrium sets of bimatrix games; game theory and the market; and transfer procedures for nontransferable utility games. Both editors did their Ph.D with Stef Tijs, while he was affiliated with the mathematics department of the University of Nijmegen.

Collective Decision Making
  • Language: en
  • Pages: 273

Collective Decision Making

Harrie de Swart is a Dutch logician and mathematician with a great and open int- est in applications of logic. After being confronted with Arrow’s Theorem, Harrie became very interested in social choice theory. In 1986 he took the initiative to start up a group of Dutch scientists for the study of social choice theory. This initiative grew out to a research group and a series of colloquia, which were held approximately every month at the University of Tilburg in The Netherlands. The organization of the colloquia was in the hands of Harrie and under his guidance they became more and more internationally known. Many international scholars liked visiting the social choice colloquia in Tilburg...

An Introductory Course on Mathematical Game Theory and Applications
  • Language: en
  • Pages: 432

An Introductory Course on Mathematical Game Theory and Applications

Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applic...

Computing Equilibria and Fixed Points
  • Language: en
  • Pages: 349

Computing Equilibria and Fixed Points

Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).

Game Theory and Policy Making in Natural Resources and the Environment
  • Language: en
  • Pages: 434

Game Theory and Policy Making in Natural Resources and the Environment

  • Type: Book
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  • Published: 2008-01-31
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  • Publisher: Routledge

Game Theory has become one of the main analytical tools for addressing strategic issues in the field of economics and is increasing its influence in other fields of social sciences. With the increased level of extraction of natural resources and pollution of environments, game theory gains its place in the literature and it is more and more seen as a tool for policy makers and not only for theoreticians. The book is structured into four parts dealing with the management of natural resources, the negotiation aspects of water management, water allocation through pricing and markets, and how conflicts and regulation shape the management of the environment. The first part explores game theory co...

Semi-Infinite Programming
  • Language: en
  • Pages: 392

Semi-Infinite Programming

Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields. The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems. Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

Models of Conflict and Cooperation
  • Language: en
  • Pages: 433

Models of Conflict and Cooperation

Deals with the topic of game theory. This textbook discusses the general game models including deterministic, strategic, sequential, bargaining, coalition, and fair division games. It emphasises on the process of mathematical modeling.

Reflections on the Foundations of Probability and Statistics
  • Language: en
  • Pages: 350

Reflections on the Foundations of Probability and Statistics

This Festschrift celebrates Teddy Seidenfeld and his seminal contributions to philosophy, statistics, probability, game theory and related areas. The 13 contributions in this volume, written by leading researchers in these fields, are supplemented by an interview with Teddy Seidenfeld that offers an abbreviated intellectual autobiography, touching on topics of timeless interest concerning truth and uncertainty. Indeed, as the eminent philosopher Isaac Levi writes in this volume: "In a world dominated by Alternative Facts and Fake News, it is hard to believe that many of us have spent our life’s work, as has Teddy Seidenfeld, in discussing truth and uncertainty." The reader is invited to share this celebration of Teddy Seidenfeld’s work uncovering truths about uncertainty and the penetrating insights they offer to our common pursuit of truth in the face of uncertainty.

International Bibliography of Economics 1998
  • Language: en
  • Pages: 644

International Bibliography of Economics 1998

Renowned for its international coverage and rigorous selection procedures, this series provides the most comprehensive and scholarly bibliographic service available in the social sciences. Arranged by topic and indexed by author, subject and place-name, each bibliography lists and annotates the most important works published in its field during the year of 1997, including hard-to-locate journal articles. Each volume also includes a complete list of the periodicals consulted.

Abstracts of the Fifth Spanish Meeting on Game Theory and Applications
  • Language: en
  • Pages: 260

Abstracts of the Fifth Spanish Meeting on Game Theory and Applications

The number of spanish game theorists has increased considerably in recent years. In 1994 it was decided to hold a spanish meeting on game heory every two years. The “Fifth Spanish Meeting on Game Theory and Applications” will take place in Seville on July 1-3, 2002. The 5th SMGT continues the series of the alternate Italian and Spanish conferences on Game Theroy.