Clarification of the rational solution obtained from game theory in multipurposed optimisation problem

Issue title: Selected papers from the 12th International Workshop on Optimization and Inverse Problems in Electromagnetism (OIPE 2012)

Guest editors: Luc Dupré and Guillaume Crevecoeur

Article type: Research Article

Authors: Miyamoto, Tomoyuki^a | Matsutomo, Shinya^b | Terauchi, Naoya^a | Noguchi, So^{a; *} | Igarashi, Hajime^a

Affiliations: [a] Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan | [b] Department of Electronic Control Engineering, Niihama National College of Technology, Niihama, Japan

Correspondence: [*] Corresponding author: So Noguchi, Graduate School of Information Science and Technology, Hokkaido University, Kita 14 Nishi 9, Kita-ku, Sapporo 060-0814, Japan. E-mail: noguchi@ssi.ist.hokudai.ac.jp

Abstract: Usually, multiple objectives have to be considered when an electromagnetic apparatus is optimally designed. In such a multipurposed optimal design problem many solutions exist and are termed Pareto optimum. Hence, we have previously proposed a multipurposed optimal design method based on a game theory. The proposed method can choose one rational solution from Pareto optima. It is, however, unconfirmed what the signification of the chosen rational solution is. Therefore, the signification is investigated by calculating the weight parameters of a weighted summed objective function.

Keywords: Game theory, multiobjective optimisation, optimal design, Pareto optimum

DOI: 10.3233/JAE-131705

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 43, no. 1-2, pp. 3-11, 2013