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...

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 functions by...

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”...

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...

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...

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...

In a symmetric model of free-trade blocs, the seemingly innocuous normalization rule by setting the world price of a given good as the numéraire will cause asymmetry in the Nash equilibrium. This paper presents a new symmetric tariff game approach and a new price normalization rule that are...

We prove that the normalization rule in Bond and Syropoulos (1996, Journal of International Economics 40, 411-437) that sets the world price of good 1 as the numéraire causes asymmetry in the Nash equilibrium. Such rule contradicts their symmetric assumption when one derives other blocs'...