This paper replicates two spatial monopoly models by Takayama and Judge. The first one is a simple spatial monopoly model. The second model allows the activity of arbitrage between any pains of consumption regions if the price differential exceeds the corresponding unit transportation cost. With...

This paper improves upon the existing literature surrounding the production order quantity inventory model in which unit cost and daily production are assumed to be constant. By including economies of scale into the model, we examine its impact on production order quantity and total cost. The...

The combinatorial nature of integer programming is inevitable even after takingspecific model structure into consideration. This is the root problem in implementing large-scale nonlinear integer programming models regardless of which algorithm one chooses to use. Consequently, we suggest that...

In this paper, we investigate the relationship between the demand ad valorem, cost ad valorem and unit taxes in terms of price, quantity and tax revenue. In particular, we prove that the Musgravian transformation holds in the Hotelling model. In addition, we show that the Suits‐Musgrave...

This paper uses the panel data of energy consumption and GDP for 82 countries from 1972 to 2002. Based on the income levels defined by the World Bank, the data are divided into four categories: low income group, lower middle income group, upper middle income group, and high income group. We...

Assume that the private goods and the public good are weakly separable, the private goods are gross complements, and the private utility function is a homogeneous of degree one function with constant elasticity of substitution. We demonstrate that, under commodity taxation, the social marginal...

This paper replicates two spatial monopoly models by Takayama and Judge. The first one is a simple spatial monopoly model. The second model allows the activity of arbitrage between any pains of consumption regions if the price differential exceeds the corresponding unit transportation cost. With...

The combinatorial nature of integer programming is inevitable even after takingspecific model structure into consideration. This is the root problem in implementing large-scale nonlinear integer programming models regardless of which algorithm one chooses to use. Consequently, we suggest that...

It has been long recognized that an ad valorem tax rate on revenues (demand) has its counterpart in costs (supply). Such a one to one correspondence is referred to as the Musgravian transformation. The transformation is monotonic and nonlinear. However, the property of concavity of the tax...