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© 2009 Pearson Education Canada 2/1 Chapter 2 A Theory of Preferences
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© 2009 Pearson Education Canada 2/2 Theory of Preferences is based on three ideas regarding individuals: 1. They have consistent preferences. 2. They seek to maximize preference rankings. 3. They are willing to make tradeoffs between different goods.
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© 2009 Pearson Education Canada 2/3 Completeness Assumption: Given any two bundles, one of the following is true: - Bundle 1 is preferred to bundle 2 - Bundle 2 is preferred to bundle 1 - Bundle 1 is indifferent to bundle 2
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© 2009 Pearson Education Canada 2/4 Figure 2.1 Possible consumption bundles
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© 2009 Pearson Education Canada 2/5 Transitivity Assumption: Given any three bundles: - If bundle 1 is at least as good as bundle 2, and bundle 2 is at least as good as bundle 3, then bundle 1 is at least as good as bundle 3.
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© 2009 Pearson Education Canada 2/6 Nonsatiation Assumption: Given any two bundles, if bundle 1 contains more of one good than bundle 2, and it does not contain less of the other good, then bundle 1 is preferred to bundle 2.
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© 2009 Pearson Education Canada 2/7 Maximization Assumption: Individuals always make choices that leave them better off.
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© 2009 Pearson Education Canada 2/8 Figure 2.2 An indifference curve for Eleanor
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© 2009 Pearson Education Canada 2/9 Continuity Assumption Through any consumption bundle in which the quantity of at least one good is positive, there is a continuous indifference curve.
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© 2009 Pearson Education Canada 2/10 Figure 2.3 Clem’s indifference curves
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© 2009 Pearson Education Canada 2/11 Figure 2.4 Slope of an indifference curve
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© 2009 Pearson Education Canada 2/12 Figure 2.5 An indifference map
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© 2009 Pearson Education Canada 2/13 Figure 2.6 Impossible indifference curves
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© 2009 Pearson Education Canada 2/14 Marginal Rate of Substitution The marginal rate of substitution (MRS) is the rate at which someone is willing to trade-off one good for another while maintaining the same level of satisfaction. More precisely, the marginal rate of substitution of good 2 for good 1 at any point (x 1,x 2 ), denoted as MRS (x 1,x 2 ), is the absolute value of the slope of the indifference curve at that point. (See Figure 2.7).
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© 2009 Pearson Education Canada 2/15 Figure 2.7 Marginal rate of substitution
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© 2009 Pearson Education Canada 2/16 Diminishing Marginal Rate of Substitution Note that in Figure 2.7 the MRS diminishes in a movement down the indifference curve. A person whose preferences are shown in Figure 2.7 is less willing to substitute good 2 for good 1 at point B than at point A.
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© 2009 Pearson Education Canada 2/17 Figure 2.8 Constructing a utility function
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© 2009 Pearson Education Canada 2/18 Figure 2.9 Different preferences and different indifference curves
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© 2009 Pearson Education Canada 2/19 Figure 2.10 Perfect substitutes and perfect complements
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© 2009 Pearson Education Canada 2/20 Figure 2.11 Employee preferences for leisure and income
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© 2009 Pearson Education Canada 2/21 Figure 2.12 Preferences for current and future consumption
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© 2009 Pearson Education Canada 2/22 From Figure 2.12 Preferences for current and future consumption People smooth out their consumption over time in order to raise their level of utility.
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© 2009 Pearson Education Canada 2/23 Figure 2.13 The cost of pollution
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© 2009 Pearson Education Canada 2/24 Figure 2.13 The cost of pollution When consumption contains a bad and a good, the indifference curves are upward sloping.
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