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One use of the indirect utility concept is the notion of the utility of money. The (indirect) utility function for money is a nonlinear function that is bounded and asymmetric about the origin. The utility function is concave in the positive region, representing the phenomenon of diminishing marginal utility. The boundedness represents the fact ...
In video game AI, a utility system, or utility AI, is a simple but effective way to model behaviors for non-player characters. Using numbers, formulas, and scores to rate the relative benefit of possible actions, one can assign utilities to each action .
Given a utility function u(x,y), to calculate the MRS, one takes the partial derivative of the function u with respect to good x and divide it by the partial derivative of the function u with respect to good y. If the marginal rate of substitution is diminishing along an indifference curve, that is the magnitude of the slope is decreasing or ...
Hence, his utility is (,). In a cloud computing environment, there is a large server that runs many different tasks. Suppose a certain type of a task requires 2 CPUs, 3 gigabytes of memory and 4 gigabytes of disk-space to complete. The utility of the user is equal to the number of completed tasks.
Although there are at least four sources of uncertainty - the attribute outcomes, and a decisionmaker's fuzziness about: a) the specific shapes of the individual attribute utility functions, b) the aggregating constants' values, and c) whether the attribute utility functions are additive, these terms being addressed presently - uncertainty ...
A submodular utility function is characteristic of substitute goods. For example, an apple and a bread loaf can be considered substitutes: the utility a person receives from eating an apple is smaller if he has already ate bread (and vice versa), since he is less hungry in that case. A typical utility function for this case is given at the right.
This category is for specific utility functions, properties or classes of utility functions. Pages in category "Utility function types" The following 43 pages are in this category, out of 43 total.
Peleg defined a utility function representation of a strict partial order as a function : such that > (), that is, only one direction of implication should hold. [6] Peleg proved the existence of a one-dimensional continuous utility representation of a strict preference relation ≻ {\displaystyle \succ } satisfying the following conditions: