The indirect utility function and expenditure function are dual to each other
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Reference literature in economic theory indicates that the indirect utility function and the expenditure function are dual representations in consumer behavior.
In this section, we begin our study of consumer demand in the context of a market economy referred to as the system in which commodities (goods and services) are available to the consumer for purchase at known prices. Firstly, we study the primal problem of consumer utility maximisation. Secondly, we analyse the dual approach and, finally, we study indirect utility function, expenditure function, the theoretical restrictions of demand systems, Roy’s Identity, Hotelling’s Theorem, relationships between functions. the Slutsky equation and complementary and substitute goods, and the elasticities of substitution of goods. Finally, we offer basic references and further references and readings.
derivation of an indirect utility function and an expenditure function. Both these functions are dual to the utility … between the direct utility function, the indirect utility function and the expenditure function. We have made … relating the direct utility function to the indirect utility function. Note that the "indirect production isoquant"
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