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In economic decisions, what does the individual consumer decide?
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1) The allocation of time between work and leisure
2) The allocation of income between consumption and saving
2) The allocation of income between consumption and saving
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What must the consumer do?
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Allocate her wealth among different assets (T-bills, checking accounts, stocks, bonds, housing, etc.)
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Money set aside for current consumption has to do what?
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Allocated among the different goods
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What must the consumer purchase?
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The best basket of commodities that he can afford
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Prices and Quantities
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= -p1/p2
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Commodity Bundle
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5x1 + 4x2 < 60
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Slope of Budget Line
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Total Expenditure
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Budget Constraint
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Income
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If p1 = 4, p2 = 5, m =60; what is the budget constraint?
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m = (p1+t)x1 +p2x2
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Budget Line
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p1x1 + p2x2 = (1-t)m
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Interior and Corner Bundles
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p1x1 + p2x1 = m - f
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What does income equal?
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1) Preferences are defined over bundles of goods and services, not over individual commodities
2) Because the budget line will change as prices and income change, it is not enough to have a record of the consumer's preferences over bundles in the current budget set.
3) Preferences are independent of prices and income.
2) Because the budget line will change as prices and income change, it is not enough to have a record of the consumer's preferences over bundles in the current budget set.
3) Preferences are independent of prices and income.
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Expenditure on Good 1 + Expenditure on all other commodities =
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Strictly preferred
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Composite Commodity
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"A is strictly preferred to B"
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Market Opportunity Cost (MOC)
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Indifference Relation
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Changes in the budget line due to changes in commodity 1
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A and B are equally desireable
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Changes in the budget line due to changes in commodity 2
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Individual strictly prefers A to B
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Changes in Income
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Only happens when the individual is indifferent to the the two bundles
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Proportional Change in both prices
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Budget percentage of income is spent on certain goods lends to be consistent with income bundles
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Effects of a Proportional Change in Prices and Income
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1) Transitivity
2) Both commodities are essential
3) Monotonicity
4) Convexity
2) Both commodities are essential
3) Monotonicity
4) Convexity
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A sales tax on commodity 1 only
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1) If there is an increase in the consumption of one of the goods without a decrease in the consumption of the other good, then the new bundle is strictly preferred to the original one
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An equal ad volerem tax on both goods
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1) An individual's preferences are strictly convex if for any two bundles A and B that she is indifferent between, any bundle C that is a weighted average of A and B will be strictly preferred to both A and B
2)We tend to like balance in our plans
2)We tend to like balance in our plans
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Unit Tax Equation
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The rate at which utility increases
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Proportional Income taxequation
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Negative slope of an indifference curve
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The price for the first Q units of commodity 1 is lower than the charge for any additional units
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(MU1)/(MU2)
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A subsidy paid to the consumer for each unit of the first good, but only up to o the first Q units
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The solution gives us numerical values for x1 and x2
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The first Q units are free
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Entry Fee Equation
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An entry fee F and also charge of p1 dollars per unit of commodity 1
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Individual Preference
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Three Points on Preferences
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Symbol >
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A > B
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~ Symbol
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A ~ B
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Preference Relations
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Utility
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U(A) > U(B)
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U(A) = U(B)
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Utility Function
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Cobb-Douglas Preferences
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Utility Functions when the goods are perfect subsitutres
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Utility Function when the goods are perfect complements
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4 Properties of Preference
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Transitivity
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Both commodities are essential
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Montonicity
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Goods, bads, and neutral commodities
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Convexity
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Convex combination of two commodity bundles
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Classical Preferences
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Marginal Utility of Commodity 1
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Marginal Utility of Commodoities 1 and 2
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Marginal Utility Equation
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The indifference map
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The indifference curve is downward sloping
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The indifference curve bends in towards the origin
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Convex Pregerence
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Bundles lying above or below and indifference curve
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Two different curves do not touch each other
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Higher Indifference curves contain preferred bundles
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Marginal Rate of Subsitution
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Positive MRS
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Diminishing MRS
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What is the MRS equal to?
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Chosen Bundle
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The chosen bundle will not be below the budget line or above, and it will not be at a point where the indifference curve crosses the budget line if both commodities are positive
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Tangency
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Interior Choice
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Two Individuals with the same preference relation will make difference choices if their incomes are different
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Demand Function for a good or service
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What if we specify numerical values for p1,p2 and m?
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