| Sumario: | A study was conducted to determine whether the Weak Axiom of Revealed Preference (WARP) for consumer demand functions implies the Strong Axiom of Revealed Preference (SARP) for more than two commodities. In previous research Gale constructed an example where WARP was satisfied, but SARP was violated. Gale's construction, however, applies only to the case of three commodities and leaves the question open for more commodities. By providing actual counterexamples for four or more commodities, it is possible to demonstrate in a constructive way that WARP cannot imply SARP. These examples are developed by a nontrivial embedding of Gale's counterexample in higher dimensions. Demand functions defined on convex compact non-linear budget sets are used as an intermediate tool.
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