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Tag Archives: Example in Mathematical Economics

Marx’s Theory Of Value Is Consistent With And More General Than Marginalist Economics

1.0 Introduction One inspiration for this post is stumbling across this abstract 2.0 Marx Start with labor coefficients and a Leontief input/output matrix, in physical terms. You can construct this from make and use tables for your country, given price indices by sectors. For any existing capitalist economy, I expect that matrix to characterize a more than viable economy. After all the capital goods used up in producing the final demand in, say, a year are reproduced, some commodities...

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A Fixed Capital System That Is Or Is Not Interlocked

I have defined patterns of switch points in considering perturbations of examples of the choice of technique. For example, I have defined three-technique and four-technique patterns. An obvious extension is to consider how these patterns arise in models of joint production. A simplification is to only consider models of fixed capital without superimposed joint production. This post lays out an example in which, maybe, some parameter values can lead to a three-technique pattern. I am...

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More On A Fixed Capital Example

Figure 1: A Partition of a Parameter Space for the Schefold Example1.0 Introduction I want to revisit a perturbation analysis of an example, from Bertram Schefold, of reswitching with fixed capital. Suppose workers use a machine to produce something or other, where the machine lasts several production periods. It is a possible choice to run the machine for less than its full physical life. One might think than choosing to adopt a technique with a longer economic life of the machine...

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A Refutation Of Austrian Capital Theory And Austrian Business Cycle Theory

1.0 Introduction I have not posted about a non-fluke switch point in a while. This is an example from Bertram Schefold. I have examined perturbations and variations of this example before. Here I present an example with tables exhibiting arithmetic. Is this any more transparent than examples presented with graphs? I have been listening to some lectures on YouTube, especially Richard Wolff. I now have another hypothesis why mainstream economists have been promoting lies, ignorance, and...

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A Fluke Switch Point On The Wage Frontier

Figure 1: A Switch Point On The Wage Frontier with Wage Curves Tangent This post extends the example in my article in Structural Change and Economic Dynamics, suitably emended. Figure 2 shows an enlargement of part of the parameter space. The parameters of the point where the boundaries of Regions 1, 2, and 3 intersect are shown. In Region 1, the Beta technique is uniquely cost-minimizing for all feasible wages; there are no switch points. Region 2 is a reswitching example, with Beta...

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A Fluke Case With Two Fluke Switch Points

Figure 1: Switch Points On The Axis For The Rate Of Profits And At r = -100 Percent This is an example of a fluke case in the analysis of the choice of technique. The interest in flukes, for me, is that they show how the characteristics of markets can change. They provide insight into structural economic dynamics, as Luigi Pasinetti calls it. I have previously shown a fluke case, with a switch point on the axis for the rate of profits with a real Wicksell effect of zero. A perturbation...

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A Market Algorithm

Figure 1: Specification of a Market Algorithm1.0 Introduction This article is heavily based on Bidard (2004). An approach to the analysis of the choice of technique, in keeping with construction of the outer envelope of wage curves, is to consider replacing processes, more or less, one at a time. This post presents this approach as following an algorithm. Assume that a set of techniques exist where all techniques are at least viable, indecomposable, and produce the same set of...

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Another Example Of The Factor Price Frontier In The Space Of Rental Prices

Figure 1: Real Factor Price Frontier1.0 Introduction I am planning on posting at an even slower rate for a while. This post continues my exploration of a way of visualizing the choice of technique proposed by Carlo Milana. In this post, I show how to correctly apply his visualization to an example from my 2017 ROPE paper. 2.0 Technology Two techniques are available for producing corn, the consumption good. Each technique consists of a flow-input, point-output technology, with a finite...

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Update To Example In Vienneau (2019)

Maybe this post should be titled "Erratum" or "corrigendum". I have an example in my paper last year in which wage frontiers are supposed to vary with two parameters. One is the markup in the "iron" industry. And the other is σ t. The example should be as in Table 1. All the theory and the visualizations in the paper work out with this example. Table 1: Technology for Producing Steel and Corn InputIndustryIronCornAlphaBetaLabora0,1 = 1aα,0,2(t) = (5191/5770) e(1/10) - σ taβ,0,2 =...

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Reswitching With Markup Pricing And Fixed Capital

Figure 1: Two Dimensional Pattern Diagram1.0 Introduction This post extends an example from Bertram Schefold. It presents markup pricing in an example with a machine that can be operated for two years or junked after one year. This is a case of joint production in which, unlike in some cases, the choice of technique can still be analyzed by the construction of the wage frontier. Also, I do not think the question of requirements for use enter in here, and all matrices are square. As usual,...

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