Properties Of Solution Concepts For N Person Cooperative Games
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Cooperative Game Theory and Applications
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.
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 | : |
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.
Cooperative Games, Solutions and Applications
Author | : Theo S. H. Driessen |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 1988-07-31 |
Genre | : Business & Economics |
ISBN | : 9789027727299 |
The Geometry of Solution Concepts for N-person Cooperative Games
Author | : Richard D. Spinetto |
Publisher | : |
Total Pages | : 54 |
Release | : 1972 |
Genre | : Game theory |
ISBN | : |
On the Nature of Solution Concepts for Cooperative Games
Author | : Kai Michaelis |
Publisher | : |
Total Pages | : 350 |
Release | : 1982 |
Genre | : Decision making |
ISBN | : |