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Tag Archives: Example in Mathematical Economics

An Example Of Non-Uniqueness In A Model Of Extensive And Intensive Rent

Figure 1: Wage and Rent Curves for a Numeric Example1.0 Introduction This post continues, with some repitition, my exposition of a model of extensive and intensive rent. In the example, the cost-minimizing technique is non-unique at a low enough wage or rate of profits. One cost-minimizing technique, Epsilon, illustrates a case of extensive rent. The other cost-minimizing technique, Iota, illustrates a case with both extensive and intensive rent. In this technique, a kind of absolute rent...

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A Fluke Case For Extensive Rent

Figure 1: Wage Curves and Rent for an Example of Extensive Rent I more-or-less have a draft research article in five posts: post 1 post 2 post 3 post 4 post 5. I suggest that the current post can replace the fourth post. It is a variant on on this post. The analysis of the choice of technique in models of extensive rent can be based on the construction of wage curves, even though the outer envelope does not represent the cost-minimizing technique. The orders of fertility and rentability...

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Reswitching Of The Order Of Fertility

Figure 1: An Example of the Reswitching of the Order of Fertility1.0 Introduction Nobody has ever pointed out the possibility highlighted by this post, as far as I know. This post can be contrasted with this one. Talk of "switch points" and "reswitching" for the wage curves on the left pane in Figure 1 above is, arguably, an abuse of terminology. Quantity flows do not change around the switch points. The same lands are fully farmed, and the same land that is partially farmed has the same...

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Reswitching Of The Order Of Rentability

Figure 1: An Example of the Reswitching of the Order of Rentability1.0 Introduction Nobody has ever pointed out the possibility highlighted by this post, as far as I know. Talk of "switch points" and "reswitching" for the rent curves on the right pane in Figure 1 above is an abuse of terminology. Under capitalism, land obtains rent because land is scarce. The power of the state backs up individuals prohibiting others from using free gifts of nature. (Propertarians are about encouraging...

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A Fluke Case For Extensive Rent

Figure 1: Wage Curves and Rent for an Example of Extensive Rent This is basically an introduction to a draft research article. Maybe I have difficulty in justifying paying attention to the type of fluke points I haqve been exploring and in formally defining why they are flukes. In this post, I present a partition of a parameter space associated with an example of extensive rent. It is probably too complicated to replace this example. Anyways, I have constructed a new fluke case. Here a...

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Fluke Switch Points

Exploring perturbations of four examples of fluke switch points provides a brief survey of some aspects of prices of production. The examples arise in, respectively, models of circulating capital, fixed capital, extensive rent, and intensive rent. The reverse substitution of labor, reswitching, and capital reversing, for example, are contrasted with genuine fluke cases. These posts present examples of fluke switch points. Each example is of a fluke case in at least two ways. Either two...

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The Emergence Of Multiple Cost-Minimizing Techniques

Figure 1: Wage Curves and Rent for an Example of Intensive Rent This post is a rewrite of this. The analysis of the choice of technique, in my previous three posts in this series, has always been based on the construction of a wage-rate of profits frontier. Given a technology in which requirements for use can be satisfied, prices of production for a feasible technique, including the wage, are uniquely determined by the given rate of profits. If the rate of profits is in a range where such...

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An Extensive Rent Example

Figure 1: A Wage Curves and Rent for an Example of Extensive Rent This post is a rewrite of this. It is the third in a series, with the first here and the second here. The analysis of the choice of technique in models of extensive rent can be based on the construction of wage curves, even though the outer envelope does not represent the cost-minimizing technique. The orders of fertility and rentability are emphasized here. The order of fertility is defined for specified techniques, in...

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Fixed Capital And The Emergence Of Reswitching

Figure 1: A Wage Frontier With A Fluke Switch Point This post is a rewrite of this, without the attempt to draw a connection to structural economic dynamics. This is the second post in a series, starting with this. A fluke example with fixed capital illustrates the emergence of the reswitching of techniques. Table 1 presents coefficients of production in a perturbation of an example from Schefold (1980). With the first process, workers, under the direction of mangers of firms, manufacture...

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The Emergence Of The Reverse Substitution Of Labor

Figure 1: A Wage Frontier With Two Fluke Switch Points This post is a rewrite of this, without the attempt to draw a connection to structural economic dynamics. This post presents an example with circulating capital alone. Table 1 presents the technology for an economy in which two commodities, iron and corn, are produced. Managers of firms know of one process for producing iron and two for producing corn. Each process is specified by coefficients of production, that is, the required...

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