Relative efficiencies of antebellum slave farms are suggested by many empirical studies. This paper considers a theoretical aspect of those results using a repeated principal-agent problem. Within its theoretical analysis, with relevance to profitability of slave farms, it will be shown that...

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...

Applying some built-in functions of Mathematica, this note provides some graphics derived from convergent paths in "Solow Model." The main aim is to attarct other economists and introduces alternative analyzing tools but I also expect that this material helps teaching economics (programming...

This expository note shows a proof of Alchian and Allen's conjecture broadly known as a phrase `shipping the good apples out'' meaning that consumers purchase fine quality relatively more than coarse one if a fixed charge is imposed. Their statement is often referred as the Alchian-Allen theorem...

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...

The interaction between offenders and potential victims has so far received relatively little attention in the literature on the economics of crime. The main objective of this paper is twofold: to extend the "market for offenses model" to deal with both "product" and "factor" markets, and to...