Why do economists use the Overlapping Generations (OLG) model in economic analysis?

What is the difference between the Taylor Rule and the Taylor Principle in monetary policy?

In the Overlapping Generations (OLG) model, the Euler equation equivalent describes how consumption changes over time to maximize utility as a function of the discount rate, rate of return, and level of risk aversion. Select all the correct statements below:

In the Overlapping Generations (OLG) model, how does the technological growth rate (g) affect capital accumulation per effective worker over time?

In the IS-MP-PC model, assuming the Taylor principle holds, how does the central bank balance the trade-off between stabilizing inflation and output when faced with an adverse supply shock (e.g., an increase in oil prices)?

In the Overlapping Generations (OLG) model, how does the population growth rate (n) affect capital accumulation per effective worker over time?

What is the Lucas critique, and why is it significant for economic policymaking?

Why are the IS-MP-PC model and DSGE models important for macroeconomic analysis, and how are they related?

In the Overlapping Generations (OLG) model, how is risk aversion linked to the impact that the rate of return has on the savings rate (i.e., ∂s/∂r)? Select all the correct statements below:

Why is the Aggregate Demand (AD) curve downward sloping?