• In microeconomics, the expenditure minimization problem is the dual of the utility maximization problem: "how much money do I need to reach a certain level...
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  • Minimisation (redirect from Minimization)
    code Structural risk minimization Boolean minimization, a technique for optimizing combinational digital circuits Cost-minimization analysis, in pharmacoeconomics...
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  • u^{*})=p_{1}x_{1}^{*}+p_{2}x_{2}^{*}} Expenditure minimization problem Hicksian demand function Slutsky equation Utility maximization problem Budget constraint Consumption...
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  • Thumbnail for Mathematical optimization
    the utility maximization problem and its dual problem, the expenditure minimization problem, are economic optimization problems. Insofar as they behave...
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  • from the Utility Maximization Problem, Hicksian Demand comes from the Expenditure Minimization Problem. The two problems are mathematical duals, and hence...
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  • Thumbnail for Local nonsatiation
    indirect utility function are utility maximization problem (UMP) and expenditure minimization problem (EMP). The UMP considers a consumer who wants to gain...
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  • j=1}^{L}} . (In consumer theory, the same argument applied to the expenditure minimization problem yields symmetry of the Slutsky matrix.) Suppose now that the...
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  • Thumbnail for Iron law of prohibition
    {\displaystyle \lambda >0} yields the same solution to the expenditure minimization problem as the original prices. Thus, 0 = ∂ x i ∂ p 1 p 1 + ⋯ + ∂ x...
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  • Thumbnail for Government spending
    Government spending or expenditure includes all government consumption, investment, and transfer payments. In national income accounting, the acquisition...
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  • problem and its dual problem, the expenditure minimization problem for a given level of utility, are economic optimization problems. Theory posits that...
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  • Law) are met, then duality between the expenditure minimization problem and the utility maximization problem tells us that x ( p , w ) = h ( p , v (...
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  • problems of economic calculation. Mises (1912) applied the marginal utility theory developed by Carl Menger to money. Marginal consumer expenditures represent...
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  • In neuroscience and motor control, the degrees of freedom problem or motor equivalence problem states that there are multiple ways for humans or animals...
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  • (upper or lower bound, depending on whether it is a maximization or minimization problem). In fact, this bounding property holds for the optimal values of...
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    the Moon with minimum fuel expenditure. Or the dynamical system could be a nation's economy, with the objective to minimize unemployment; the controls...
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  • states that if indifference curves of the expenditure or cost function are convex, then the cost-minimizing point of a given good ( i {\displaystyle i}...
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  • Thumbnail for Parental investment
    in evolutionary biology and evolutionary psychology, is any parental expenditure (e.g. time, energy, resources) that benefits offspring. Parental investment...
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  • performance is that it ignores the need for capital expenditures in its assessment. However, capital expenditures are needed to maintain the asset base which...
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  • Thumbnail for Talent scheduling
    Talent scheduling (category NP-complete problems)
    filming. The primary objective of talent scheduling is to minimize the total salary expenditure for the actors by optimizing the sequence in which scenes...
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  • its expenditure can lend or invest the excess, intending to earn a fair return. Correspondingly, an entity where income is less than expenditure can raise...
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  • and high cholesterol.[citation needed] Based on data from 2014 Medical Expenditure Panel Survey (MEPS), about 60% of adult Americans were estimated to have...
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  • Thumbnail for Transport network analysis
    along the network, with optimal defined as minimizing some form of cost, such as distance, energy expenditure, or time. A common example is finding directions...
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  • Thumbnail for Tragedy of the commons
    Effective in Reducing Third-World Arms Imports?", Third-World Military Expenditure and Arms Production, London: Palgrave Macmillan UK, pp. 99–113, doi:10...
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    equations, and one solves the problem by minimization of the associated Hamiltonian via Pontryagin's minimum principle. Dual problem George Dantzig Leonid Kantorovich...
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  • harder. For him, the initial expenditure must not be a diversion of funds from other uses, but an increase in the total expenditure: something impossible –...
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  • misleading comparison of aggregate welfare state expenditure, and also argued that public expenditure should no longer be a measure of comparison and that...
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  • Thumbnail for Drafting (aerodynamics)
    significantly reduce the paceline's average energy expenditure and can even slightly reduce the energy expenditure of the lead vehicle. Drafting is used to reduce...
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  • an idea works in market environments while using the least possible expenditure. This would be beneficial as it reduces the risk of innovating (so that...
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  • Thumbnail for 2025 German federal election
    change the Basic Law (German constitution) in order to exclude defence expenditure of over 1% of GDP and a second special fund, this time not for defence...
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  • for centuries. In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values...
    251 KB (31,183 words) - 19:07, 15 June 2025