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Comparative Statics without Differentiability

Comparative statics is an important topic in many economics courses. The usual compara tive static derivations involve manipulation of first (and sometimes second) order optimality conditions and often require assumptions of differentiability, convexity, and concavity. In this paper we present a different method for deriving comparative statics results (based on the work of Topkis). The method we present never requires any assumptions of differentiabil ity and often does not require concavity or convexity of any relevant function. We illustrate our method by deriving a comparative statics result found in Baumol and Samuelson.