Exam 4: Tastes and Indifference Curves

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Complete tastes are tastes that make people desire at least some of every good.

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Explain the following statement: Individuals with different tastes might have the same tastes at the margin at their current consumption bundles.

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By different tastes, we mean different maps of indifference curves. So, to say that individuals have different tastes is the same as saying that different individuals have different indifference maps. But it may well be the case that individuals have chosen bundles at which their marginal rates of substitution are the same --- which implies that their tastes are the same at the margin even though they differ overall.

When the price of beer goes up, our model of tastes would typically require tastes to change.

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Two rationality assumptions economists make about tastes are first, that some individuals are not able to compare any two bundles of goods to one another, and second, that there is an internal consistency to tastes that makes it possible to choose a "best" bundle.

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Explain the following statement: For the same individual, tastes over goods may vary at the margin as we move from one bundle to another.

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Suppose tastes are NOT monotonic anywhere.Then diminishing MRS is not consistent with convexity of tastes.

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Consider a worker who dislikes working end enjoys consuming a composite good.With labor hours on the horizontal and the composite consumption good on the vertical axis, which of the following statements are true.

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You like bundle A better than bundle B, and bundle C is an average of bundles A and B.Which of the following is correct if your tastes satisfy our usual assumptions?

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Prove formally that the rationality axioms alone rule out the possibility of indifference curves crossing.

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The number of units of the good on the horizontal axis that we are willing to give up to get one more unit of the good on the vertical axis is equal to the absolute value of the slope of the indifference curve.

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If you observe me choosing bundle A over bundle B on Monday, bundle B over bundle C on Tuesday and bundle C over bundle A on Wednesday, it must be that my tastes violate transitivity.

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Consider the utility function Consider the utility function   .(Explain all your answers.)  a.Derive the function for the marginal rate of substitution. b.Do the tastes represented by this utility function satisfy diminishing MRS? c.The marginal utility of a good is defined as the change in utility from additional consumption of that good (holding all else constant).Derive the marginal utility of   and   .  d.Why does an ordinal approach to utility theory not any attention to what you derived in (c)? e.Why does an ordinal approach to utility not treat the marginal rate of substitution the way it treats the marginal utility concept? .(Explain all your answers.) a.Derive the function for the marginal rate of substitution. b.Do the tastes represented by this utility function satisfy diminishing MRS? c.The marginal utility of a good is defined as the change in utility from additional consumption of that good (holding all else constant).Derive the marginal utility of Consider the utility function   .(Explain all your answers.)  a.Derive the function for the marginal rate of substitution. b.Do the tastes represented by this utility function satisfy diminishing MRS? c.The marginal utility of a good is defined as the change in utility from additional consumption of that good (holding all else constant).Derive the marginal utility of   and   .  d.Why does an ordinal approach to utility theory not any attention to what you derived in (c)? e.Why does an ordinal approach to utility not treat the marginal rate of substitution the way it treats the marginal utility concept? and Consider the utility function   .(Explain all your answers.)  a.Derive the function for the marginal rate of substitution. b.Do the tastes represented by this utility function satisfy diminishing MRS? c.The marginal utility of a good is defined as the change in utility from additional consumption of that good (holding all else constant).Derive the marginal utility of   and   .  d.Why does an ordinal approach to utility theory not any attention to what you derived in (c)? e.Why does an ordinal approach to utility not treat the marginal rate of substitution the way it treats the marginal utility concept? . d.Why does an ordinal approach to utility theory not any attention to what you derived in (c)? e.Why does an ordinal approach to utility not treat the marginal rate of substitution the way it treats the marginal utility concept?

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Bundle A is worse than bundle B, and bundle C is an average of bundles A and B.Then our usual assumptions about tastes imply that bundle B is at least as good as bundle C.

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Suppose bundle A is better than bundle B for a consumer, and bundle C is an average of bundles A and B. a.Use the continuity, convexity and monotonicity assumptions to formally prove that this implies that bundle C is better than bundle B. b.Did you also -- implicitly or explicitly -- use the rationality axioms?

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Economists define "rational" tastes as those which are objective and transitive.​

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If the marginal rate of substitution is not diminishing, it must mean that tastes violate convexity (assuming that our other assumptions about tastes hold).

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You like bundle A better than bundle B, and bundle C is an average between A and B.If your tastes satisfy convexity, then C is at least as good as A and as B.

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