Monotonic Preference is an assumption that consumers would prefer more rather than less of the goods they consume. If we compare two consumption bundles and one of the bundles has more of all of the goods under consideration, that bundle is preferred by the consumer. For example, if bundle (X1, X2) is 5 cookies and 3 cupcakes and bundle (Y1, Y2) is 7 cookies and 5 cupcakes, the assumption of monotonicity tells us that bundle (Y1,Y2) is the more preferred bundle. This is so because there are more of both goods. This assumption would also hold if (Y1,Y2) contained 5 cookies and 5 cupcakes. In this case, there is the same amount of one good, but there is more of the other good.
Your preferences are said to be monotonic if more is preferred to less
A monotonic transformation does not change the preferences represented by a utility function. It only changes the scale or units of measurement of the utility values, but the ranking of preferences remains the same.
monotonic preference means that a rational consumer always prefers more of a commodity as it offers him a higher level of satisfaction.
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
Monotonic transformations do not change the relationship between variables in a mathematical function. They only change the scale or shape of the function without altering the overall pattern of the relationship.
Your preferences are said to be monotonic if more is preferred to less
A monotonic transformation does not change the preferences represented by a utility function. It only changes the scale or units of measurement of the utility values, but the ranking of preferences remains the same.
In monotonic preferences, individuals consistently prefer more of a good to less of it. A convex curve indicates diminishing marginal utility, where each additional unit of the good provides less satisfaction. This reflects that as individuals have more of the good, the increase in satisfaction from each additional unit decreases.
They can be either, but not together. y = x and y = -x are both monotonic.
monotonic preference means that a rational consumer always prefers more of a commodity as it offers him a higher level of satisfaction.
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
Here are some: odd, even; periodic, aperiodic; algebraic, rational, trigonometric, exponential, logarithmic, inverse; monotonic, monotonic increasing, monotonic decreasing, real, complex; discontinuous, discrete, continuous, differentiable; circular, hyperbolic; invertible.
No. For example, y = 7 is monotonic. It may be a degenerate case, but that does not disallow it. It is not a bijection unless the domain and range are sets with cardinality 1. Even a function that is strictly monotonic need not be a bijection. For example, y = sqrt(x) is strictly monotonic [increasing] for all non-negative x. But it is not a bijection from the set of real numbers to the set of real numbers because it is not defined for negative x.
They have infinite domains and are monotonic.
No, they can only be jump continuous.
Argon is nonreactive, including with itself.
A monotonic increasing series.