The Classical Model builds on the principles developed in microeconomics to explain how equilibrium production and employment might be determined from profit maximizing behavior and utility maximizing behavior.
The Real Business Cycles Model further refines this to a simple model that explains how Robinson Crusoe could have business cycles on an island with no other agents, no wage rate, no price level, and, in particular, no monetary authority. This demonstration removes monetary policy and wage/price stickiness from the discussion.
The first step is to draw a production function and indifference curves on a diagram of output vs. labor. The equilibrium is at a tangency between the production function and one of the indifference curves.
The application then analyzes the effects of technology shocks, which cause business cycles in this model. You can choose among three types of additive and multiplicative shocks.
Because shocks to technology can cause recessions in the Real Business Cycles model, but nominal wage rates and nominal prices do not even appear in the model, there is no role for monetary policy to play in alleviating these shocks.
The decade of the 1970's established the importance of this line of thinking. The energy shortages can be interpreted as shocks to the production function, and the model calls into question the use of monetary policy to fight business cycles during that era.
Model Link:  
The Real Business Cycles Model
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Printable PDF Exercises
Related Models
The Real Business Cycle Model presented here combines the production function from the Demand for Labor with a transposed view of the indifference curves from the Supply of Labor. It arrives at an equilibrium without introducing a wage rate.
References
Robert J. Barro, Macroeconomics.
Daniel Defoe, The Life and Strange Adventures of Robinson Crusoe, 1719.
 
Classic Economic Models
Macroeconomics
Introduction
             
          Overview of Macro Models
Models in Chronological Order
             
          The Classical Model
             
          The Simple Keynesian Model
             
          The Keynesian IS/LM Model
             
          The Mundell-Fleming Model
             
          Real Business Cycles
             
          The IS/MP Model
              The Solow Growth Model
Financial Markets
			   
          Utility-Based Valuation of Risk
             
          Mean-Variance Analysis:
             
             
          Risk vs. Expected Return
              Fixed Income Securities:
             
             
          Mortgage/Bond Calculator
             
          Growth Investments:
             
             
          Present Value Calculator
Microeconomics
Introduction
             
          Overview of Micro Models
          Supply and Demand
             
          Basic Supply and Demand
             
          Who Pays a Sales Tax?
             
          The Cobweb Model and
                  Inventory-Based Pricing
          
          Theory of the Firm
             
          Perfect Competition
             
          Monopoly and
                            Monopolistic Competition
             
          Price Discrimination
             
          The Demand for Labor
          
          Theory of the Consumer
             
          Two Goods - Two Prices
              Intertemporal Substitution
             
          Labor Supply, Income Taxes,
             
              and Transfer Payments
Resources