A STUDY OF OPTIMAL DESIGN UNDER CONFLICT USING MODELS OF MULTI-PLAYER GAMES
In the broad context of modelling for system design, it is normally assumed that all decision-makers cooperate fully and thus avoid conflict. However, this is not always possible, in which case the design process is best modelled and studied as a multi-player game. The objective in this paper is to...
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| Published in | Engineering optimization Vol. 28; no. 1-2; pp. 63 - 94 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.05.1997
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| Subjects | |
| Online Access | Get full text |
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| Abstract | In the broad context of modelling for system design, it is normally assumed that all decision-makers cooperate fully and thus avoid conflict. However, this is not always possible, in which case the design process is best modelled and studied as a multi-player game. The objective in this paper is to present and illustrate such a general game-theoretic framework for design modelling. In particular, explicit solutions are computed and interpreted for conservative or minmax, Pareto, Nash and Stackelberg games in a simple pressure vessel design example in which two players interact strategically, one of whom wants to minimize the weight and other wishes to maximize the volume. In another example in which a rotating disk is to be optimized for two objectives related to its design and manufacture, the Pareto solutions show how a novel manufacturing cost function can improve, under assumptions of a cooperative game, the optimal shape that was obtained under a single objective formulation related to design alone. |
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| AbstractList | In the broad context of modelling for system design, it is normally assumed that all decision-makers cooperate fully and thus avoid conflict. However, this is not always possible, in which case the design process is best modelled and studied as a multi-player game. The objective in this paper is to present and illustrate such a general game-theoretic framework for design modelling. In particular, explicit solutions are computed and interpreted for conservative or minmax, Pareto, Nash and Stackelberg games in a simple pressure vessel design example in which two players interact strategically, one of whom wants to minimize the weight and other wishes to maximize the volume. In another example in which a rotating disk is to be optimized for two objectives related to its design and manufacture, the Pareto solutions show how a novel manufacturing cost function can improve, under assumptions of a cooperative game, the optimal shape that was obtained under a single objective formulation related to design alone. |
| Author | MISTREE, FARROKH JAGANNATHA RAO, J.R. PAKALA, RAMA BADHRINATH, KRISHNAKUMAR |
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| Cites_doi | 10.1016/0167-6377(94)90086-8 10.1115/1.3427709 10.1109/TAC.1985.1103803 10.1080/02331938708843300 10.1115/1.3267377 10.1007/BF02739235 10.1007/BF00940846 10.1115/1.2912647 10.1115/1.3173623 10.1080/03052159208941024 10.1007/BF01416737 10.1016/0045-7949(80)90105-4 10.1007/BF00935665 10.1109/TAC.1981.1102607 10.1137/0913069 |
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| References | CIT0010 Kalagatla A. (CIT0011) 1994 Fudenberg D. (CIT0009) 1991 Vincent T. (CIT0030) 1981 Childambaram B. (CIT0022) 1994 Neumann J. (CIT0031) 1944 Badhrinath K. (CIT0004) 1995 Outrata J. (CIT0020) 1995; 68 Aubin J. (CIT0001) 1979 Azarm S. (CIT0002) 1987 CIT0013 CIT0016 CIT0015 Karandikar H. (CIT0012) 1993 CIT0019 Dresher M. (CIT0007) 1981 Shimizu K. (CIT0027) 1985; 30 Loridan P. (CIT0014) 1988; 84 Berger M. (CIT0005) 1988; 55 CIT0023 Bhavikatli S. (CIT0006) 1980; 11 Manna F. (CIT0017) 1968 Mesterton-Gibibons M. (CIT0018) 1991 Seirag A. (CIT0026) 1970 CIT0003 CIT0025 CIT0024 Rao J. (CIT0021) 1996 CIT0029 CIT0028 Falk J. (CIT0008) 1993 |
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| Title | A STUDY OF OPTIMAL DESIGN UNDER CONFLICT USING MODELS OF MULTI-PLAYER GAMES |
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