The Pre Kernel As A Tractable Solution For Cooperative Games
Download The Pre Kernel As A Tractable Solution For Cooperative Games full books in PDF, epub, and Kindle. Read online free The Pre Kernel As A Tractable Solution For Cooperative Games ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Holger Ingmar Meinhardt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 270 |
| Release | : 2013-10-23 |
| Genre | : Mathematics |
| ISBN | : 364239549X |
This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.
| Author | : C. Chang |
| Publisher | : |
| Total Pages | : 8 |
| Release | : 1994 |
| Genre | : |
| ISBN | : |
| Author | : Michael Maschler |
| Publisher | : |
| Total Pages | : 63 |
| Release | : 1965 |
| Genre | : |
| ISBN | : |
A study of the kernel of a cooperative game. In this paper the authors derive a procedure for the players which, if abided by, leads to an outcome in the kernel. Moreover, each outcome in the kernel can be reached by this procedure. The procedure consists of a set of three rules and involves the formation of 'intermediate coalitions' which play 'intermediate games, ' after which the members of each intermediate coalition play a 'reduced game' to decide the share of their spoils. The procedure is further analyzed in the case of monotonic games and in the case of simple games, and the results that are obtained reduce considerably the amount of computation which is needed to compute the kernels of such games. In particular, they compute the kernel of the 7-person projective game (for the grand coalition), which is a star consisting of seven straight-line segments connecting the center to the points of the main simple solution. Finally, conditions under which modifications of the characteristic function do not change its kernel are presented. (Author).
| Author | : Kensaku Kikuta |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1998 |
| Genre | : |
| ISBN | : |
It is shown that the prekernel and the pre-nucleolus of a cooperative game coincide with the kernel and the nucleolus for the reasonable set of the game respectively.
| Author | : Xia Zhang |
| Publisher | : |
| Total Pages | : |
| Release | : 2021 |
| Genre | : |
| ISBN | : |
In this paper, we introduce a new approach to measure the dissatisfaction for coalitions of players in cooperative transferable utility games. This is done by considering affine (and convex) combinations of the classical excess and the proportional excess. Based on this so-called alpha-excess, we define new solution concepts for cooperative games, such as the alpha-prenucleolus and the alpha-prekernel. The classical prenucleolus and prekernel are a special case. We characterize the alpha-prekernel by strong stability and the alpha-balanced surplus property. Also, we show that the payoff vector generated by the alpha-prenucleolus belongs to the alpha-prekernel.
| Author | : Flemming Christensen |
| Publisher | : |
| Total Pages | : 19 |
| Release | : 1991 |
| Genre | : |
| ISBN | : |
| Author | : David Mueller |
| Publisher | : Springer |
| Total Pages | : 453 |
| Release | : 2017-09-21 |
| Genre | : Business & Economics |
| ISBN | : 331961603X |
This book demonstrates what kind of problems, originating in a management accounting setting, may be solved with game theoretic models. Game theory has experienced growing interest and numerous applications in the field of management accounting. The main focus traditionally has been on the field of non-cooperative behaviour, but the area of cooperative game theory has developed rapidly and has received increasing attention. Intensive research, in combination with the changing culture of publishing, has produced a nearly unmanageable number of publications in the areas concerned. Therefore, one main purpose of this volume is providing an intensive analysis of the intersection of these areas. In addition, the book strengthens the relationship between the theory and the practical applications and it illustrates the two-sided relationship between game theory and management accounting: new game theoretic models offer new fields of applications and these applications raise new questions for the theory.
| Author | : Roger Bruce Myerson |
| Publisher | : |
| Total Pages | : 102 |
| Release | : 1973 |
| Genre | : |
| ISBN | : |
| Author | : Oltion Voshtina |
| Publisher | : |
| Total Pages | : 112 |
| Release | : 1997 |
| Genre | : Cooperation |
| ISBN | : |
| Author | : Frank Hüttner |
| Publisher | : |
| Total Pages | : 144 |
| Release | : 2012 |
| Genre | : |
| ISBN | : |
