Three-Person Cooperative Game and its Application in Decision Making Process of Hierarchical Organizations
| dc.contributor.advisor | Mitiku, Semu (PhD) | |
| dc.contributor.author | Dejenee, Abiy | |
| dc.date.accessioned | 2019-12-05T10:52:03Z | |
| dc.date.accessioned | 2023-11-04T12:30:51Z | |
| dc.date.available | 2019-12-05T10:52:03Z | |
| dc.date.available | 2023-11-04T12:30:51Z | |
| dc.date.issued | 2007-08-03 | |
| dc.description.abstract | The solution of an n-level linear problem, when the levels make decisions se- quentially and independently, is not necessarily pareto-optimal, i.e.there exist feasible points which o®er increased payo®s to some levels without diminish- ing the payo®s to other levels. These increased payo®s may be obtained if the levels coalesce. In particular if the number of decision makers on each level form coalition to work cooperatively they can get a better payo®. A game theoretic methodol- ogy for predicting coalition formation in the decision makers on each level is presented. The problem is modeled as an abstract game. If a core exists for the characteristic function game, then there exists a set of enforceable points which o®er the increased payo®s available to the system, but a core may not exist. When the core exist, for games with non-empty cores, it would be an advantageous property for a power index to assign values to the players that comprise a solution in the core. We use Shapley value, as a solution concept, which has got a drawback that it might not always been an element of the core. So we take the Willick's power index as a best solution concept, which has got a better relation with the core than Shapley. The n-level Stackleberg problem, which represent a class of n-level linear problem, as a special case the 3-level Stackleberg problem, is de¯ned. In the university budget allocation system coalition among decision makers in each level, science faculty, is used to demonstrate the suggested methodology. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/20319 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Cooperative Game | en_US |
| dc.subject | Application | en_US |
| dc.subject | Decision Making Process | en_US |
| dc.subject | Hierarchical Organizations | en_US |
| dc.title | Three-Person Cooperative Game and its Application in Decision Making Process of Hierarchical Organizations | en_US |
| dc.type | Thesis | en_US |