This paper provides a proof of Alchian and Allen’s thesis—superior good is relatively more consumed in distant market—with some restrictions on the utility function. Comparing to the proof by Borcherding and Silberberg (1978), those assumptions may restrict the model in some sense but we...

This paper explores conditions for which Alchian-Allen theorem–the finer quality product is relatively more purchased than the lower one in regions where additional costs are imposed–holds in models of various but finite qualities. In this paper, “finer qualities raise ratios to lower ones...

This expository note shows Alchian and Allen’s conjecture–consumers purchase fine quality relatively more than coarse one– is true under some specific conditions about homogeneity, inner solution and substitutability while allowing the influence of the income effect. In the proof, to be an...

In the original framework of Professors Acemoglu and Robinson, the government is unable to oppress the revolution once it is brought about. However, actual civil wars are unpredictable. With this notion, I introduce uncertainty depending on military expenditures of the government. Then an...

In the original framework of Professors Acemoglu and Robinson, the government is unable to oppress the revolution once it is brought about. However, actual civil wars are unpredictable. With this notion, I introduce uncertainty depending on military expenditures of the government. Then an...

Abstract Most lectures teach the relationship between the CES, Cobb-Douglas, and Leontief functions using the value of elasticity of substitution, namely, in the discrete object model. This lecture note aims at being a reference for algebraic computations of the Leontief and Cobb-Douglas...