Multidimensional screening with general nonlinear preferences

As a central problem in modern microeconomic theory, multidimensional screening plays a significant role in taxation theory, regulation, nonlinear pricing, insurance, etc. Starting from eminent work of Nobel Laureates Mirrlees, Spence and Myerson, there are two main types of generalizations: one is in terms of dimensionality, from one-dimensional to multi-dimensional; the other is in preferences form, from quasilinear to general nonlinear.
For the multidimensional quasilinear case, theories of existence, uniqueness, and robustness have been widely studied. However, for the multidimensional general nonlinear case, existence (2015, 2017) and uniqueness (2017) results are unknown until recently. Thus, it is natural to solve the unique solution of this optimization problem and explore its economic interpretations, which is one of our objectives.
There might be very fruitful to study other potential economic applications in game theory, including actions, pre-event ticket sales, and competition in dynamic mechanisms. TO BE CONT’D

Faculty Supervisor:

Robert J. McCann

Student:

Partner:

Université Paris Dauphine

Discipline:

Mathematics

Sector:

University:

University of Toronto

Program:

Globalink Research Award