Solution Concepts of N-person Cooperative Games as Points in the Game Space
Author | : Richard Decker Spinetto |
Publisher | : |
Total Pages | : 134 |
Release | : 1971 |
Genre | : Game theory |
ISBN | : |
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Author | : Richard Decker Spinetto |
Publisher | : |
Total Pages | : 134 |
Release | : 1971 |
Genre | : Game theory |
ISBN | : |
Author | : Richard D. Spinetto |
Publisher | : |
Total Pages | : 54 |
Release | : 1972 |
Genre | : Game theory |
ISBN | : |
Author | : Imma Curiel |
Publisher | : Springer Science & Business Media |
Total Pages | : 198 |
Release | : 2013-03-14 |
Genre | : Business & Economics |
ISBN | : 147574871X |
In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.
Author | : Kai Michaelis |
Publisher | : |
Total Pages | : 350 |
Release | : 1982 |
Genre | : Decision making |
ISBN | : |
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.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2002 |
Genre | : |
ISBN | : |
This study explores the topic of N-person cooperative game theory. The following paper begins with an introduction to the basic definitions and theorems of game theory. These definitions and theorems are then used to introduce various solution methods and methods of coalition formation. These results are then applied to the airport game, to the supplier-firm-buyer game, and to evolutionary games.
Author | : William F. Lucas |
Publisher | : |
Total Pages | : 28 |
Release | : 1968 |
Genre | : Game theory |
ISBN | : |
A solution concept for n-person cooperative games in characteristic function form was introduced by von Neumann and Morgenstern in 1944. This study reviews the definitions of an n-person game and then describes two games whose sets of solutions are rather restricted. The first is a five-person game which has a unique solution that is nonconvex. The second is an eight-person game that has no solution possessing the symmetry of the characteristic function. (Author).