The Geometry of Solution Concepts for N-person Cooperative Games
| Author | : Richard D. Spinetto |
| Publisher | : |
| Total Pages | : 54 |
| Release | : 1972 |
| Genre | : Game theory |
| ISBN | : |
The Geometry Of Solution Concepts For N Person Cooperative Games
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Collected Papers
| Author | : Robert J. Aumann |
| Publisher | : MIT Press |
| Total Pages | : 818 |
| Release | : 2000 |
| Genre | : Business & Economics |
| ISBN | : 9780262011556 |
Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
Management Science
| Author | : |
| Publisher | : |
| Total Pages | : 508 |
| Release | : 1976 |
| Genre | : Industrial management |
| ISBN | : |
Issues for Feb. 1965-Aug. 1967 include Bulletin of the Institute of Management Sciences.
Fuzzy and Multiobjective Games for Conflict Resolution
| Author | : Ichiro Nishizaki |
| Publisher | : Physica |
| Total Pages | : 264 |
| Release | : 2013-06-05 |
| Genre | : Mathematics |
| ISBN | : 3790818305 |
Decision makers in managerial and public organizations often encounter de cision problems under conflict or competition, because they select strategies independently or by mutual agreement and therefore their payoffs are then affected by the strategies of the other decision makers. Their interests do not always coincide and are at times even completely opposed. Competition or partial cooperation among decision makers should be considered as an essen tial part of the problem when we deal with the decision making problems in organizations which consist of decision makers with conflicting interests. Game theory has been dealing with such problems and its techniques have been used as powerful analytical tools in the resolution process of the decision problems. The publication of the great work by J. von Neumann and O. Morgen stern in 1944 attracted attention of many people and laid the foundation of game theory. We can see remarkable advances in the field of game theory for analysis of economic situations and a number of books in the field have been published in recent years. The aim of game theory is to specify the behavior of each player so as to optimize the interests of the player. It then recommends a set of solutions as strategies so that the actions chosen by each decision maker (player) lead to an outcome most profitable for himself or her self.
Group Decision Making under Multiple Criteria
| Author | : Ching-Lai Hwang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642615805 |
This monograph is intended for an advanced undergraduate or graduate course of engineering and management science. as well as for persons in business. industry. military or in any field. who want an introductory and a capsule look into the methods of group decision making under multiple criteria. This is a sequel to our previous works entitled "Multiple Objective Decision Making--Methods and Applications (No. 164 of the Lecture Notes). and "Multiple Attribute Decision Making--Methods and Applications (No. 186 of the Lecture Notes). Moving from a single decision maker (the consideration of Lecture Notes 164 and 186) to a multiple decision maker setting introduces a great deal of complexity into the analysis. The problem is no longer the selection of the most preferred alternative among the nondominated solutions according to one individual's (single decision maker's) preference structure. The analysis is extended to account for the conflicts among different interest groups who have different objectives. goals. and so forth. Group decision making under multiple criteria includes such diverse and interconnected fields as preference analysis. utility theory. social choice theory. committee decision theory. theory of voting. game theory. expert evaluation analysis. aggregation of qualitative factors. economic equilibrium theory. etc; these are simplified and systematically classified for beginners. This work is to provide readers with a capsule look into the existing methods. their characteristics. and applicability in the complexity of group decision making.
The Dynamics of Cooperative Games
| Author | : Jeffrey Harlow Grotte |
| Publisher | : |
| Total Pages | : 180 |
| Release | : 1974 |
| Genre | : Differential equations |
| ISBN | : |
It is of interest to the study of cooperative game theory to develop models whereby the dynamics of negotiation among the players can be investigated. One approach to this problem concentrates on the use of discrete transfer schemes to study how players might arrive at a desirable outcome. A parallel approach employs systems of differential equations whose solutions represent a continuous transfer of payoff over time. It is the intention of this work to further research in this latter area. Chapter headings include the following: Systems of differential equations with polyhedral stable sets; Applications to cooperative game theory; Nonefficient bargaining systems.
Cooperative Games, Solutions and Applications
| Author | : Theo S. H. Driessen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 235 |
| Release | : 2013-03-09 |
| Genre | : Business & Economics |
| ISBN | : 9401577870 |
The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.
Theories of Coalition Formation
| Author | : James P. Kahan |
| Publisher | : Psychology Press |
| Total Pages | : 371 |
| Release | : 2014-04-04 |
| Genre | : Psychology |
| ISBN | : 131776918X |
First published in 1984. In this book, the authors set forth the central ideas and results of the major theories of coalition forming behavior. These theories address situations of partial conflict of interest with the following aspects: (1) there are three or more players, (2) players may openly communicate with each other, and (3) players form coalitions by freely negotiating agreements on how to disburse the gains that result from the coalition members’ joint coordinated efforts. These models arise from the two disciplines of mathematics, in the theory of cooperative n-person games with side payments, and social psychology, in theories of small group behavior in mixed-motive situations. The goal is to explore the various solution concepts that make up this body of theory, and in particular to examine the psychological premises that underlie the various theoretical models.
Handbook of Game Theory with Economic Applications: Game of chess
| Author | : Robert J. Aumann |
| Publisher | : |
| Total Pages | : 768 |
| Release | : 1992 |
| Genre | : Economics, Mathematical |
| ISBN | : |
