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arXiv · 2111.10560

Passivity-based Analysis and Design for Population Dynamics with Conformity Biases

Shunya Yamashita·Kodai Irifune·Takeshi Hatanaka·Yasuaki Wasa·Kenji Hirata·Kenko Uchida
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Abstract

This paper addresses mechanisms for boundedly rational decision makers in discrete choice problem. First, we introduce two mathematical models of population dynamics with conformity biases. We next analyze the models in terms of delta-passivity, and show that the conformity biases work to break passivity of decision makers. Based on the passivity perspective, we propose mechanisms so as to induce decision makers to a desired population state. Furthermore, we analyze a convergence property of designed mechanisms, and present parameter conditions to guarantee stable inducements.

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Shunya Yamashita, Kodai Irifune, Takeshi Hatanaka, Yasuaki Wasa, Kenji Hirata, Kenko Uchida. 2021-11-20. Passivity-based Analysis and Design for Population Dynamics with Conformity Biases. https://arxiv.org/abs/2111.10560

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