Plasmon Resonance Model: Investigation of Analysis of Fake News Diffusion Model with Third Mover Intervention Using Soliton Solution in Non-Complete Information Game under Repeated Dilemma Condition

In this study, we attempt to model the prominent problem of fake news diffusion in modern society using the framework of incomplete information games and nonlinear partial differential equations. In particular, we focus on the plasmon resonance phenomenon, in which fake news diffuses rapidly under certain conditions and causes significant social impact, and aim to theoretically elucidate its mechanism. We also incorporate the concepts of first movers, second movers, and third movers in game theory to explore how their strategies affect the dynamics of fake news diffusion. The proliferation of fake news is a complex process in which truth and misinformation intersect, and its effects reach across political, economic, and social strata. To address this issue, it is essential to understand how fake news is widely accepted and shared. In this study, we liken this diffusion process to the concept of plasmon resonance in physics to model the phenomenon of the rapid amplification of fake Figure 1: Comparison of Third Mover Soliton Solution and news within a particular social group. Plasmon resonance is Parabolic Strategies under Plasmon Influence a resonance phenomenon that occurs when electron density waves interact with light on a metal surface.