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Learn about representing budget constraints, interpreting equations graphically, and predicting consumer choices based on preferences and constraints. Explore how changes in parameters affect optimal choices.
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Topic 1: Lecture 5 Demand Analysis: Constraints We said that our understanding of Consumer Choice rests on the analysis of Preferences and Constraints. Let’s now turn to consider Constraints. Y Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constraints We can represent a budget set and a budget frontier (or constraint) Y What equation can we give this constraint? Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constraints The equation tells us that if we spend all our money income, M, on X and Y, our spending be equal to: Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constraints Re-arranging, the equation for the budget constraint is: How do you interpret this equation? And Graphically? Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constraints The equation of the budget constraint: Y Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constraints Given the position of the budget constraint, what will be the consumer’s choice of X and Y? This will depend on their preferences: Y Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constrained choice Given the position of the budget constraint, what will be the consumer’s choice of X and Y? This will depend on their preferences: IC3 Y IC1 IC2 Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constrained choice Given the position of the budget constraint, what will be the consumer’s choice of X and Y? This will depend on their preferences: ICmax Y Ymax 0 X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Constrained choice So, by bringing together preferences and constraints, we have a model which predicts/explains the consumer’s choices (demands) for X and Y . . . given . . .? Y Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Comparative Statics What will happen to the optimal choices of X and Y if there are changes to the parameters of the model? Y What are the ‘parameters’? Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Comparative Statics What will happen to the optimal choices of X and Y if there are relevant changes to the parameters of the model? Y Consider a change in money income. How do we show this? Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y What can you say about the demand for X as M↑? And the demand for Y? Ymax â a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y What can you say about the demand for X as M↑? And the demand for Y? â Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y What can you say about the demand for X as M↑? And the demand for Y? â Ymax a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y What can you say about the demand for X as M↑? And the demand for Y? Ymax â a Y* 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Demand Analysis: Change in money income Y What can you say about the demand for X as M↑? And the demand for Y? Ymax a Y* â 0 X* X Xmax Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5 Now read B&B 4th Ed., pp. 103-138 (but don’t worry about issues which go beyond what you have seen in lecture notes or seminar exercise sheets) Robin Naylor, Department of Economics, Warwick