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Expenditure minimization problem information


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 of happiness?". This question comes in two parts. Given a consumer's utility function, prices, and a utility target,

  • how much money would the consumer need? This is answered by the expenditure function.
  • what could the consumer buy to meet this utility target while minimizing expenditure? This is answered by the Hicksian demand function.

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Expenditure minimization problem

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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

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code Structural risk minimization Boolean minimization, a technique for optimizing combinational digital circuits Cost-minimization analysis, in pharmacoeconomics...

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Expenditure function

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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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Mathematical optimization

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the utility maximization problem and its dual problem, the expenditure minimization problem, are economic optimization problems. Insofar as they behave...

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Hicksian demand function

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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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Iron law of prohibition

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{\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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Integrability of demand

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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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Local nonsatiation

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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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Envelope theorem

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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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Mathematical economics

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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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Government spending

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Government spending or expenditure includes all government consumption, investment, and transfer payments. In national income accounting, the acquisition...

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Optimal control

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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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Dual linear program

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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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Economic calculation problem

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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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Degrees of freedom problem

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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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Parental investment

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in evolutionary biology and evolutionary psychology, is any parental expenditure (e.g. time, energy, resources) that benefits offspring. Parental investment...

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Transport network analysis

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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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Public budgeting

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value in budgeting which analyzes the amount budgeted to the actual expenditures thereby describing the "wisdom of the original policy". Smith and Lynch's...

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The Three Worlds of Welfare Capitalism

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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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Tragedy of the commons

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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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Pit latrine

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capital maintenance expenditure and expenditure on direct support but does not include pit emptying costs. The total recurrent expenditure for more "upmarket"...

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Green affordable housing

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expenditures, assistance that already is insufficient to cover this gap. The deterioration of the existing stock has contributed to health problems for...

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Public economics

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interference; this study involves the analysis of government taxation and expenditures. This subject encompasses a host of topics notably market failures such...

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Cost distance analysis

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different types of cost may be relevant in a given routing problem: Travel cost, the resource expenditure required to move across the cell, usually time or energy/fuel...

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Shadow price

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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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Glossary of economics

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consumption expenditure that occurs when income levels are zero. Such consumption is considered autonomous of income only when expenditure on these consumables...

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Housing in Ethiopia

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at the first glance on expenditure on "housing (rent), water, electricity and gas" accounting around 19% of annual expenditure for households across all...

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Managerial economics

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and minimizing unproductive activities. These frameworks assist organizations to make rational, progressive decisions, by analyzing practical problems at...

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