8 The Solow Growth Model. Cobb Douglas Production Function: Diminishing MPK

This video in our Solow growth model series focuses on the Cobb-Douglas production function and its assumption of diminishing marginal returns for factor inputs. We mathematically and algebraically prove that the Cobb-Douglas production function exhibits a diminishing marginal product of capital. This means that each additional unit of capital added to the production process will increase output less than the previous unit. We demonstrate this by deriving the second derivative of output with respect to capital, proving it to be negative. An algebraic example and intuitive explanation further illustrate why adding more capital with constant labor leads to less additional output. Subscribe to @AxiomTutoringCourses for more detailed economic models and proofs.