Science and Its Philosophy From a Marxist Perspective
The affine hull and convex hull are closely related concepts. Let be a set in . The affine hull of is the set of all affine combinations of elements of : The convex hull of is the set of all convex combinations of the elements of : Putting the definitions side by side, we see […]
Affine hull vs. convex hull
Assume we are trying to minimize some convex function which is differentiable. One way to do this is to use a descent method. A general descent method can be described as follows: Given a starting point in the domain of , iterate over the following 3 steps until some stopping criterion is satisfied: Choose a […]
Exact line search and backtracking line search
Do ‘excessive’ wage rises lead to rising inflation and thus drive economies into a wage-price spiral? Back in 1865, at the International Working Men’s Association, Marx debated with IWMA Council member Thomas Weston. Weston, a leader of the carpenter’s union, argued that asking for increased wages was futile because all that would happen would be […]
The wage price spiral refuted
Source:Max Planck Institute Selfless behavior and cooperation cannot be taken for granted. Mohammad Salahshour of the Max Planck Institute for Mathematics in the Sciences (now at Max Planck Institute of Animal Behavior), has used a game theory-based approach to show why it can be worthwhile for individuals to set self-interests aside. One of the most fundamental […]
Moral Behavior Pays Off
Consider an optimization problem in standard form: with the variable . Assume that the ‘s and ‘s are differentiable. (At this point, we are not assuming anything about their convexity.) As before, define the Lagrangian as the function Let and be the primal and dual optimal points respectively (i.e. points where the primal and dual […]
What are the KKT conditions?
carchedi-roberts-inflation-presentation-finalDownload The purpose of this post is to ensure our understanding of Marxist categories remains precise and that all our investigations are rigorous.
OBSERVATIONS OF CARCHEDI & ROBERTS’ PRESENTATION ON INFLATION GIVEN AT THE RECENT HISTORICAL MATERIALISM CONFERENCE.
As usual it won’t be possible to report on all the many sessions at this year’s London Historical Materialism conference that took place last weekend. I could only attend a few sessions and concentrated, naturally, on ones to do with Marxist economics. Also, I was participating in two sessions myself that clashed with others that […]
Historical Materialism Conference – monopoly, imperialism, inflation and Ukraine
defending-turnover-for-the-last-timeDownload klems-1987-2021Download This posting is a courtesy to those commenting on turnover and circulating capital in a recent post on Michael Roberts blog. On the spreadsheet, which is vast, all calculations for the graphs are coloured. to help the reader navigate it.
WHY MARXISTS CANNOT IGNORE CIRCULATING CAPITAL!
Consider an optimization problem in standard form: with the variable . Let be the domain for , i.e. the intersection of the domains of the ‘s and the ‘s. Let denote the optimal value of the problem. The Lagrange dual function is the function defined as the minimum value of the Lagrangian over : The […]
Lagrange dual, weak duality and strong duality