@TechReport{iza:izadps:dp14167, author={Lin, Zhongjian and Vella, Francis}, title={Selection and Endogenous Treatment Models with Social Interactions: An Application to the Impact of Exercise on Self-Esteem}, year={2021}, month={Mar}, institution={Institute of Labor Economics (IZA)}, address={Bonn}, type={IZA Discussion Paper}, number={14167}, url={https://www.iza.org/publications/dp14167}, abstract={We address the estimation of sample selection and endogenous treatment models with social interactions. To model the interaction between individuals in an internally consistent matter we employ a game theoretic approach based on the use of a discrete Bayesian game. We overcome the substantial computational burden this introduces through a sequential version of the nested fixed point algorithm. We describe how our methodology can be applied to a large class of commonly employed models. We employ our approach to examine the impact of an individual's frequency of exercise on her level of self esteem in a setting where an individual's exercise frequency is treated as endogenous and is potentially influenced by her belief of her friends' exercise frequency.}, keywords={endogenous treatment;sample selection;social interactions;sequential estimation;exercise;self-esteem}, }