Before revision:  In both kinds of market environments, the players have  individual risk tolerance coefficients . In the incomplete market setting, these risk tolerances are constants (CARA utilities) , while in the complete market, they are assumed to be wealth-independent random variables depending, among others, on upcoming market information .
After revision:  In both kinds of market environments, the players have individual risk tolerance coefficients (CARA utilities) , while in the complete market, they are assumed to be wealth-independent random variables depending, among others, on upcoming market information .