Multiobjective Optimization

  • Akio Matsumoto
  • Ferenc Szidarovszky


In the previous chapters we considered two types of cooperation of the players. In the first case, they form a grand coalition , obtain the largest possible overall payoff which is then divided among the players based on certain concepts of fairness. In the second case the players negotiate to reach a fair settlement. In many cases a third way of cooperation occurs. The players agree in selecting a third person, the mediator , who has the trust of the players and the right and duty of finding a final solution to be given to them. After the mediator reaches his decision, all players are obliged to accept it. In this case, we have a single decision maker, who takes the interests of all players into account simultaneously. If \(\phi _1, \ldots , \phi _N\) are the payoff functions of the players and higher value is better for all, then the role of the mediator is to find a satisfactory solution for the corresponding multiobjective optimization problem.


Payoff Function Pareto Optimal Solution Important Player Decision Space Bargaining Solution 
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Copyright information

© Springer Japan 2016

Authors and Affiliations

  1. 1.Department of EconomicChuo UniversityHachiojiJapan
  2. 2.Department of Applied MathematicsUniversity of PécsPécsHungary

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