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The negative slope of the indifference curve implies that the marginal rate of substitution is always positive; Complete, such that all points on an indifference curve are ranked equally preferred and ranked either more or less preferred than every other point not on the curve. So, with (2), no two curves can intersect (otherwise non-satiation ...
If the axes depicting coconut collection and leisure are reversed and plotted with Crusoe's indifference map and production function, [1] figure 2 can be drawn: Figure 2: The Robinson Crusoe economy's production function and indifference curves. The production function is concave in two dimensions and quasi-convex in three dimensions. This ...
Whether indifference curves are primitive or derivable from utility functions; and; Whether indifference curves are convex. Assumptions are also made of a more technical nature, e.g. non-reversibility, saturation, etc. The pursuit of rigour is not always conducive to intelligibility. In this article indifference curves will be treated as primitive.
Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...
A line connecting all points of tangency between the indifference curve and the budget constraint is called the expansion path. [10] All two dimensional budget constraints are generalized into the equation: + = Where: = money income allocated to consumption (after saving and borrowing)
The substitution effect will always turn out negative as indifference curves are always downward sloping. However, the same does not apply to income effect as it depends on how consumption of a good changes with income. The income effect on a normal goods is negative, and if the price decreases, consequently purchasing power or income
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A set of convex-shaped indifference curves displays convex preferences: Given a convex indifference curve containing the set of all bundles (of two or more goods) that are all viewed as equally desired, the set of all goods bundles that are viewed as being at least as desired as those on the indifference curve is a convex set.