Mathematical Sciences-Seminar on Financial Math-"Rational inattention and dynamic discrete choice" by Hao Xing (Boston University)

Tuesday, September 10, 2019
4:00 pm to 5:00 pm

Location:

Floor/Room #: 
203
- Title: Rational inattention and dynamic discrete choice
- Speaker: Xing Hao, BU
- Time: 09/10/2019, 4-5pm
- Abstract: 
  - We adopt the posterior-based approach to study 
  dynamic discrete choice problems with rational inattention. 
  We show that the optimal solution for the Shannon entropy case is 
  characterized by a system of equations that resembles the dynamic logit rule. 
  We propose an efficient algorithm to solve this system and apply our model 
  to explain phenomena such as status quo bias, confirmation bias, and belief polarization. 
  We also study the dynamics of consideration sets. 
  Unlike the choice-based approach, our approach applies to 
  general uniformly posterior-separable information cost functions. 
  A key condition for our approach to work in dynamic models is the convexity 
  of the difference between the discounted (generalized) entropy 
  of the prior beliefs about the future states and the entropy of the current posterior. 
  This is a joint work with Jianjun Miao.