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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 would be violated since the point(s) of intersection would have equal utility).
An indifference graph, formed from a set of points on the real line by connecting pairs of points whose distance is at most one. In graph theory, a branch of mathematics, an indifference graph is an undirected graph constructed by assigning a real number to each vertex and connecting two vertices by an edge when their numbers are within one unit of each other. [1]
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.
By varying the weighting parameter b, one can trace out the entire contract curve: If b = 1 the problem is the same as the previous problem, and it identifies an efficient point at one edge of the lens formed by the indifference curves of the initial endowment; if b = 0 all the weight is on person 2's utility instead of person 1's, and so the ...
If you do not find a tangency point within the domain then the utility maximising indifference curve for the given budget constraint will be at an intersection between either the x or y axis (depending on whether the slope of the indifference curve is strictly greater than or less than the slope of the budget constraint) - this is a corner ...
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 ...
And the professionals who train our children to drive teach their driving students only to pull into the intersection to make a left turn if there is a clear path all the way through the intersection.
If an agent has monotone preferences which means the marginal rate of substitution of the agent's indifference curve is positive. Given two products X and Y. If the agent is strictly preferred to X, it can get the equivalent statement that X is weakly preferred to Y and Y is not weakly preferred to X.