Consensus building based on linear solvable process in transferable utility game

Consensus-decision making problems are very common among individuals or organizations and require consistent methods to solve them. In usual study about allocation, the information about benefit about coalition is required beforehand. However preparation of such information is difficult for real case. This paper deals with strategic multi-criteria decision making problems where a consensus among the decision makers is extremely important to achieve the agreement. And for the case that the value of characteristic function are unknown, we proposes a linear solvable process for a decision-making game as a method for checking the common weights in a cooperative game perspective.