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We generalize the Alchian–Allen theorem so as to account for income and endowment effects and provide two versions of a Generalized Alchian–Allen theorem: one for a unit cost component and one for a proportional cost component. Both versions provide a decomposition of an uncompensated change in the demand ratio of two goods into a substitution effect and an income‐endowment effect—and may thus be regarded as extensions of the familiar Slutsky equation for relative demand. Finally, we apply our results to the choice of real estates and to parental time allocation decisions, the latter providing implications for child care policies. (JEL D11, H21, J22, R21)

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Optimal Taxation under a Consumption Target Terms of use: Documents in EconStor may AbstractWe consider a government facing a constraint on the total consumption of a specific good with varieties, and formulate an optimal commodity tax problem under a consumption target. We obtain a uniform pricing result (similar to the familiar uniform taxation rule): setting the same consumer price for all varieties constitutes a solution if, and only if, the compensated price elasticities of the varieties with respect to an untaxed good are all equal and non-negative. If, however, this elasticity condition does not hold, the optimal policy is at variance with the wellknown inverse elasticity rule and with the Corlett-Hague rule.JEL-Codes: H210, H230.

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