Before revision: The revenue for firm x with production rates is given by while the revenue for firm y with production rate in market 2 is given by Using vector calculus, geometric algebra, or differential geometry, Bulow et al.
After revision: At any interior equilibrium, , we must haveThe revenue for firm x with production rates is given by while the revenue for firm y with production rate in market 2 is given by Using vector calculus, geometric algebra, or differential geometry, Bulow et al.