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

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: decision makers; passivity; model; bounded rationality; design

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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