Game Theoretical Tools for Wing Design
In the general setting of modeling for system design it is assumed that all decision-makers cooperate in order to choose the optimal set of the variable design. Sometimes there are conflicts between the different tasks, so that the design process is studied as a multi-player game. In this work we deal with a preliminary application of the design of a wing by studying its optimal configuration by considering some of the standard parameters of the plant design. The choice of the parameters value is done by optimizing two tasks: the weight and the drag. This two-objective optimization problem is approached by a cooperative model, just minimizing the sum of the weight and the drag, as well by a non-cooperative model by means of the Nash equilibrium concept. Both situations will be studied and some test cases will be presented.
KeywordsStrategic games Noncooperative equilibrium solutions Experimental design
The work has been supported by STAR 2014 (linea 1) “Variational Analysis and Equilibrium Models in Physical and Social Economic Phenomena”, University of Naples Federico II, Italy and by GNAMPA 2016 “Analisi Variazionale per Modelli Competitivi con Incertezza e Applicazioni”.
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