| Vasyl Gorbachuk, Maksym Dunaievskyi, Seit-Bekir Suleimanov Models of Group Decision Making and Their Applications |
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| Abstract. Today, decentralized cybernetic systems are of particular interest, where the issues of managing, receiving, storing, transmitting and processing information arise for at least several elements of the system. Examples of such systems are the Internet, national or international armed forces, transnational corporations or associations. Massive examples of decentralized cybernetic systems are provided by real systems consisting of a manager and a subordinate, a customer and an executor, a government regulator and a private enterprise.The study of such two-level (group) systems and the development of scientifically sound recommendations for the organization of their effective functioning is an urgent task in states where strict centralization of decisions was practiced. In general, decentralized cybernetic systems are multi-level organizations with various agents. If the mathematically formalized issue of controlling a single-level (centralized) system is reduced to control and optimization problems, for the solution of which quite effective methods have been developed, then the formalized issue of controlling an already linear two-level system is reduced to an NP-hard problem. In addition, the solution of the two-level problem itself is not unambiguous (there are pessimistic and optimistic, from the point of view of the higher level, solutions). Any group decisions are hard problems both in theory and practice. |
| Keywords: decision making, preference, cooperation, competition, leadership |
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| DOI: https://doi.org/10.54381/itta2024.12 |