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Agent-Based Approach of Cross-Cultural Interactions in Hilbert Space

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Proceedings of the Future Technologies Conference (FTC) 2021, Volume 1 (FTC 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 358))

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Abstract

In this paper, we propose the approach of cross-cultural interactions. The main property of the model is the cone evolution in the infinite-dimensional Hilbert space. The approach considers agent states in the metric space with derived angle metric with the cultures clustering, which makes it possible to introduce the phenomenon of culture appearing. Here cluster is a subgroup of agents in one culture that can be also called a subculture. This work aims to formalize a new culture appearing from a mathematical point of view. We provide a simulation result of the developed model based on synthetic initial data.

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Acknowledgments

Work was supported by RFBR #19-010-00423.

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Correspondence to Fedor Loginov .

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Loginov, F., Belotelov, N. (2022). Agent-Based Approach of Cross-Cultural Interactions in Hilbert Space. In: Arai, K. (eds) Proceedings of the Future Technologies Conference (FTC) 2021, Volume 1. FTC 2021. Lecture Notes in Networks and Systems, vol 358. Springer, Cham. https://doi.org/10.1007/978-3-030-89906-6_18

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