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Methodology in Economics. Modeling. Modeling – simplified (abstract) representation of relationships of agents and variables that exist in reality. Structure of model Identify economic agents and objective Identify decision variables and given variables Specify relations of variables
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Modeling • Modeling – simplified (abstract) representation of relationships of agents and variables that exist in reality. • Structure of model • Identify economic agents and objective • Identify decision variables and given variables • Specify relations of variables • Outcomes • Decision rules • Equilibrium conditions
Modeling • Determined in the model – values they take are determined in the model (e.g., quantity demanded) • Endogenous variables • Decision variables • Dependent variables • Given or assumed in the model – values they take are given or assumed (e.g., income of households) • Exogenous variables • Independent variables
Modeling • Representation of relationships of variables in a model • Table form presentation of data • Graphical form • Functional form • Individual equations or systems • Specific functional forms (e.g., linear, quadratic, logarithmic, exponential) • Specific parameters
Tables of Related Variables Table A.1 Advertising and Sales at Len & Harry’s
Solving Equations Y = 40 + 3X • If X = 4, solve for Y Y = 40 + 3(4) = 40 + 12 Y = 52 • If Y = 64, solve for X 64 = 40 + 3X 3X = 64 – 40 = 24 X = 24/3 X = 8
Solving Equations Equation 1 Qd = 500 – 50P Equation 2 Qs = 50 + 25P Solve for Qd, Qs, and P • Equate the two equations, i.e., Qd=Qs 500 – 50P = 50 + 25P • 1 equation 1 unknown, solve for P 500 - 50 = 50P + 25P 75P = 450 P = 450/75 P = 6 • Substitute P=6 in either equation 1 or 2 Qd = 500 – 50(6) = 500 - 300 = 200 Qs = 50 + 25(6) = 50 + 150 = 200
Applied Modeling Process • Specification – edogenous-exogenous variables and their functional form • Estimation of parameters • Validation • Theoretical consistency of estimates • Signs • Magnitudes • Statistical properties of estimates • Fit • Significance • Forecasting performance of model