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We show that, for an optimal policy, the associated marginal indemnification function only takes the values zero and one.
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When economic models include water accounts that feed into production functions, they model impacts on the marginal product of water.
Second, by introducing the "marginal indemnification functions", we characterize the optimal reinsurance contracts.
The MIF method exploits the absolute continuity of admissible indemnification functions and formulates optimal reinsurance model into a functional linear programming of determining an optimal measurable function valued over a bounded interval.
But indemnification does not apply across the board.
Constructing the PC representation requires knowledge of the marginal probability density function (mpdf) and the autocorrelation function.
This determines the functional form of the marginal implicit price function.
So by diminishing marginal utility, the function, the sum of utilities is concave.
We consider identification of demand, identification of changes in aggregate consumer welfare, identification of marginal costs, identification of firms' marginal cost functions, and discrimination between alternative models of firm conduct.
This method requires a priori information such as variables' marginal distribution functions and their correlation matrix.
Copulas are functions that join multivariate distribution functions to their one-dimensional marginal distribution functions.
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