Group Decision Making with Responses of a Quantitative Nature: The Theory of Social Decision Schemes for Quantities |
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| Institution: | 1. Department of Materials Sciences and Engineering, Yonsei University, 50 Yonsei-Ro, Seo-dae-mun-gu, Seoul 120-749, Republic of Korea;2. Korea Institute of Science and Technology (KIST), Seoul, Republic of Korea;1. College of Engineering Trivandrum, India;2. Indian Institute of Technology Bombay, India;1. Department of Physics, Mizoram University, Aizawl 796004, India;2. Beijing Computational Science Research Center, 3 Heqing Road, Beijing 100084, China;3. Laboratoire de Physique Quantique et de Modlisation Mathmatique (LPQ3M), Dpartement de Technologie, Universit de Mascara, 29000 Mascara, Algeria;4. Department of Physics, Assam University, Silchar 788011, India;1. Institute of Control and Computation Engineering, University of Zielona Góra, ul. Podgórna 50, 65-246 Zielona Góra, Poland;2. The State Higher Vocational School in Glogow, ul. P. Skargi 5, 67-200 Glogow, Poland;3. RAFI GmbH Co. KG, Ravensburger Straße, 128-134, D-88276 Berg/Ravensburg, Germany;4. Faculty of Mechanical Engineering, University of Applied Sciences Ravensburg-Weingarten, Doggenriedstraße, Weingarten, Germany;5. Faculty of Engineering Management, Poznan University of Technology, Strzelecka 11, Poznan, Poland;1. College of Chemistry and Molecular Engineering, Zhengzhou University, Zhengzhou 450001, China;2. Do-Fluoride Chemicals Co., Ltd, Jiaozuo 454000, China;3. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong, China;4. Key Laboratory of Advanced Energy Materials Chemistry (Ministry of Education), Nankai University, Tianjin 300071, China |
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| Abstract: | Group decisions involving responses of a quantitative nature occur frequently in organizations. Although extensive research has considered group decisions involving discrete responses, only recently have responses involving quantities received comparable attention. It is proposed that the group decision processes related to quantities involve compromise and are characteristically different from the consensus processes that occur for discrete choices. The theory of social decision schemes (Davis, 1973) as originally formulated is intractable for quantitative responses because they involve a large number of response alternatives. This paper extends and adapts the theory of social decision schemes to apply it to group decisions of a quantitative nature. The decision schemes considered in modeling group decisions for quantitative responses also differ from those of discrete responses. The classes of decision schemes considered include central tendency, consensus-based, faction-attraction, coalition, distance-influence, dictator, special cases, and other. Unique approaches for evaluating the adequacy of these decision schemes for quantities are considered. An illustration of the theory of social decision schemes for quantities is presented with data from research on group goal decisions (Hinsz, 1991). |
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