论文标题

从马克思的基本平等到解决转型问题的解决 - 模型的连贯性

From Marx's fundamental equalities to the solving of the transformation problem -- Coherence of the model

论文作者

Ankri, Norbert, Marcaggi, Païkan

论文摘要

最近,V。Laurevan Bambeke使用了一种原始方法来解决将价值转换为生产价格的著名问题,即考虑到每个部门的资本重新分配(分支)是问题的一部分。在这里,我们确认了与需求满意度有关的考虑(社会需求,能够支付给定产品的需求)的有效性。与V. laure van bambeke求解过度确定的方程式系统(意味着只能接触马克思的基本平等性),我们表明,转换问题是可以从确定的(两支支车模型)中解决的转换问题,或者通过alno of Algorith of Algorith,我们提供了确切的方程式或不足的方程式。对于具有三个或以上分支机构的系统,转换问题的解决方案属于无限合奏,这考虑了观察到的高竞争驱动的市场流动性。此外,我们表明,在没有固定资本的情况下,可以解决转型问题,支持处理后者不是必不可少的,不能被视为方法的潜在缺陷。我们的算法启用了模拟,以说明Okishio定理预测的利润率的瞬态上升与资本重新分配后的利润率(TRPF)的趋势一致,以及TRPF如何由有机成分的增加,在价值上。我们确定长期的转换问题不是一个问题,因为无论考虑的分支数量如何,它都可以通过我们的算法很容易解决。这强调了马克思的观念的高度连贯性及其在诸如TRPF之类的问题上的令人印象深刻的相关性,这些问题仍然存在激烈的辩论。

Recently, V. Laure van Bambeke used an original approach to solve the famous problem of transformation of values into production prices by considering that capital reallocation to each department (branch) was part of the problem. Here, we confirm the validity of this consideration in relation with the satisfaction of demand (social need which is able to pay for the given product). In contrast to V. Laure van Bambeke's method of solving an overdetermined system of equations (implying that compliance with Marx's fundamental equalities could only be approached), we show that the transformation problem is solvable from a determined (two-branch models) or an underdetermined system of equations enabling to obtain exact solutions through an algorithm we provide, with no approximation needed. For systems with three branches or more, the solution of the transformation problem belongs to an infinite ensemble, accounting for the observed high competition-driven market fluidity. Furthermore, we show that the transformation problem is solvable in the absence of fixed capital, supporting that dealing with the latter is not essential and cannot be seen as a potential flaw of the approach. Our algorithm enables simulations illustrating how the transient rise in the rate of profit predicted by the Okishio theorem is consistent with the tendency of the rate of profit to fall (TRPF) subsequent to capital reallocation, and how the TRPF is governed by the increase of organic composition, in value. We establish that the long-standing transformation problem is not such a problem since it is easily solved through our algorithm, whatever the number of branches considered. This emphasizes the high coherence of Marx's conception, and its impressive relevance regarding issues such as the TRPF, which have remained intensely debated.

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