Passivity-Based Analysis and Nudging Design for Dynamic Social Model with Bounded Rationality

Shunya Yamashita, Takeshi Hatanaka, Yasuaki Wasa, Naoki Hayashi, Kenji Hirata, Kenko Uchida

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


In this paper, we address a design problem of nudging mechanism for dynamical decision makers with bounded rationality. We first present a mathematical model for dynamic decision makers with psychological biases. We then analyze the dynamics based on so-called δ-passivity, and reveal that the bias violates passivity of decision makers. We moreover propose a nudging mechanism based on the passivity paradigm to achieve desired social behavior. The presented mechanism is finally demonstrated through numerical simulation.

Original languageEnglish
Pages (from-to)338-343
Number of pages6
Issue number5
Publication statusPublished - 2020
Event3rd IFAC Workshop on Cyber-Physical and Human Systems, CPHS 2020 - Beijing, China
Duration: 2020 Dec 32020 Dec 5


  • bounded rationality
  • nudge
  • passivity
  • population dynamics

ASJC Scopus subject areas

  • Control and Systems Engineering


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