Special Session 181: Dirichlet Forms and Related Topics

Emergence of an unsaturated Darcy's law and a Richards-type equation via homogenization of the Stokes-Cahn-Hilliard system
Jun Masamune
Kyoto University
Japan
Co-Author(s):    
Abstract:
The Centipede Game leads to a counterintuitive Nash equilibrium that destroys wealth. We study this game and investigate versions of the game that lead to a model of formation and burst of financial bubbles, where participants are first incentivize to feed the trend, then run for the exit. We analyze these mechanisms and examine how the model fits behavioral economics interpretations and the observed dynamics of financial bubbles.