Application of Fishburn Sequences in Economic and Mathematical Modeling
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The paper validates the fitness of taking a game-theoretic approach to modeling the process of executive decision-making in the economy in the context of the third information situation, when the probability values of the economic environment states are unknown and must be in line with the corresponding linear ordering relations. Using the problem of funds allocation between the assets of an enterprise as an example, the paper analyzes the changes in the decision depending on the selection of sequences, which determine the probability distribution and comply with a certain ordering relation. To estimate the probabilities, weighting systems were selected with regard to nonstrict and strengthened nonstrict ranking, which were built using the increasing generalized arithmetic Fishburn progression and the sequence generated by Fermat numbers, respectively. The paper accentuates the role of the decision-making body when selecting the estimate of distribution of the economic environment states.
- © 2020, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - E S Remesnik AU - A V Sigal PY - 2020 DA - 2020/03/17 TI - Application of Fishburn Sequences in Economic and Mathematical Modeling BT - Proceedings of the International Scientific Conference "Far East Con" (ISCFEC 2020) PB - Atlantis Press SP - 2733 EP - 2737 SN - 2352-5428 UR - https://doi.org/10.2991/aebmr.k.200312.387 DO - https://doi.org/10.2991/aebmr.k.200312.387 ID - Remesnik2020 ER -