2014 Fiscal Year Final Research Report
Research on Foundation of forming coalition and equilibrium for games with incomplete information
| Project/Area Number |
23540175
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Ibaraki National College of Technology |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011-04-28 – 2015-03-31
|
| Keywords | 提携行動均衡 / 不確実性 / ナッシュ均衡 / 抽象ゲーム / 安定集合 / 情報交換過程 / 経営者ー労働者モデル |
|---|
| Outline of Final Research Achievements |
The one of purposes of this research program is to fulfill the gap between `non-cooperative games' and `cooperative games'. For the purpose, (1) the characterization of stable sets in the framework of 'abstract games' is treated by using the new notion of 'Jiang mapping'. The another purpose of the program is to investigate the gap from the epistemic point of view: The view point is based that the decision making for each agent is determined by his/her conjectures given by the individual knowledge structure. Concretely, focusing on the epistemic conditions for agents' knowledge,I tackled the following three topics: (2) The new equilibrium concept `coalition Nash equilibrium' leads to a Nash equilibrium through the communication about their conjectures on the others' actions among all members in a coalition. (3) In extended principal-agent model under uncertainty, a resolution of moral hazard is studied as the agreement problem of the refunds.
|
| Free Research Field |
応用数学
|
