N-Person Game Theory
N-Person Game Theory

Author: Anatol Rapoport

Publisher: Courier Corporation

Published: 2013-06-17

Total Pages: 337

ISBN-13: 0486143678

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DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Partition Function Form Games
Partition Function Form Games

Author: László Á. Kóczy

Publisher: Springer

Published: 2018-04-13

Total Pages: 320

ISBN-13: 3319698419

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This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.

A Value for N-person Games
A Value for N-person Games

Author: Lloyd S. Shapley

Publisher:

Published: 1952

Total Pages: 14

ISBN-13:

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In the finite theory of von Neumann and Morgenstern difficulty in evaluation persists for the essential games, and for only those. In this paper a value is deduced for the essential case and a number of its elementary properties are examined. A set of three axioms, having simple intuitive interpretations, which suffice to determine the value uniquely serves as a starting point.

Trends in Mathematical Economics
Trends in Mathematical Economics

Author: Alberto A. Pinto

Publisher: Springer

Published: 2016-07-30

Total Pages: 384

ISBN-13: 3319325434

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This book gathers carefully selected works in Mathematical Economics, on myriad topics including General Equilibrium, Game Theory, Economic Growth, Welfare, Social Choice Theory, Finance. It sheds light on the ongoing discussions that have brought together leading researchers from Latin America and Southern Europe at recent conferences in venues like Porto, Portugal; Athens, Greece; and Guanajuato, Mexico. With this volume, the editors not only contribute to the advancement of research in these areas, but also inspire other scholars around the globe to collaborate and research these vibrant, emerging topics.