File:MEW24 Accumulation 1 DE.pdf

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Deutsch: Akkumulation, 1.Beispiel (MEW 24, Kap.21, Abschnitt III.1.

Histogramme: Zahlen nach Marx (wiedergegeben als Tabelle in Rosdolsky.1968, S.526) — "c": konstantes Kapital, "v": variables Kapital, "a": Konsum der Kapitalisten ("" bei Rosdolsky, übernommen aus Bucharin.1926), "bc": Neuakkumulation für konstantes Kapital ("" bei Rosdolsky), "bv": Neuakkumulation für variables Kapital ("" bei Rosdolsky).
Liniengrafik ("Theorie"): exponentielle Hochrechnung (10% jährliches Wachstum) der Werte des zweiten Jahres — Abt.I: blau: cI = 4400·(110/100) J-2, rot: cI+vI = (4400+1100)·(110/100) J-2, schwarz: cI+vI+aI+bcI+bvI = (4400+1100+550+440+110)·(110/100) J-2 — Abt.II: blau: cII = 1600·(110/100) J-2, rot: cII+vII = (1600+800)·(110/100) J-2, schwarz: cII+vII+aII+bcII+bvII = (1600+800+560+160+80)·(110/100) J-2 — J bezeichnet dabei das aktuelle Jahr.
Die hochgerechneten Werte stimmen mit den Daten bei Marx überein, außer im 1. Jahr in Abt.II.

  • Roman Rosdolsky (1968) "Der Streit um die Marxschen Reproduktionsschemata" in Zur Entstehungsgeschichte des Marxschen Kapital, Frankfurt am Main/Wien: Europäische Verlagsanstalt, pp. 524–596
  • Nikolai Ivanovich Bucharin (1926) Der Imperialismus und die Akkumulation des Kapitals, Marxistische Bibliothek, 9 (2nd ed.), Vienna: Verlag für Literatur und Politik
English: Accumulation, 1st example (MEW 24, Ch.21, Sect.II.1

Histograms: Figures taken from Marx (presented as a table in Rosdolsky.1968) — "c": constant capital, "v": variable capital, "a": capitalists' own consumption (called "" by Rosdolsky, taken from Bucharin.1926), "bc": accumulation of new constant capital (called "" by Rosdolsky), "bv": accumulation of new variable capital (called "" by Rosdolsky).
Lines: exponential projection (10% growth p.a.) of the figures in year 2 — Dept.I.: blue: cI = 4400·(110/100) J-2, red: cI+vI = (4400+1100)·(110/100) J-2, black: cI+vI+aI+bcI+bvI = (4400+1100+550+440+110)·(110/100) J-2 — Dept.II: blue: cII = 1600·(110/100) J-2, red: cII+vII = (1600+800)·(110/100) J-2, black: cII+vII+aII+bcII+bvII = (1600+800+560+160+80)·(110/100) J-2 — Here, J refers to the current year.

The projected values agree with the data at Marx, except in year 1 in Dept.II.
Date
Source Own work
Author Jochen Burghardt
Other versions File:MEW24 Accumulation 1 flow graph.gif (Flußgraph zu Beispiel 1) — File:MEW24 Accumulation 1 DE.pdf (Histogramm zu Beispiel 1)
Gnuplot source code 
set title "Akkumulation, 1.Beispiel (MEW 24, Kap.21, Abschnitt III.1)"
set key invert reverse Left outside
set key autotitle columnheader
set yrange [0:10000]
set style data histogram
set style histogram rowstacked
set style fill solid border -1
set boxwidth 0.75

plot \
    newhistogram 'Abt.I (Produktion)', \
        'MEW24 Accumulation 1.gpdat' using 2:xtic(1) lt rgb "#a0a0ff", \
        '' using  3 lt rgb "#ffa0a0", \
        '' using  4 lt rgb "#404040", \
        '' using  5 lt rgb "#6060ff", \
        '' using  6 lt rgb "#ff6060", \
    newhistogram 'Abt.II (Konsum)', \
        '' using  7:xtic(1) lt rgb "#a0a0ff", \
        '' using  8 lt rgb "#ffa0a0", \
        '' using  9 lt rgb "#404040", \
        '' using 10 lt rgb "#6060ff", \
        '' using 11 lt rgb "#ff6060"

replot '' using ($1-1):(4000*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#0000ff" title ""
replot '' using ($1-1):(5000*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#ff0000" title ""
replot '' using ($1-1):(6000*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#000000" title ""

replot '' using ($1+6):(1454*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#0000ff" title ""
replot '' using ($1+6):(2182*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#ff0000" title ""
replot '' using ($1+6):(2909*1.1**($1-1)) with linespoints lw 2 pt 2 lt rgb "#000000" title "Theorie"

pause -1
Gnuplot data 
# Originalwerte in MEW 24, S.505-509, dort stets m = v;
# für Jahr 1-4 identisch bei Rosdolsky.1968b, S.526;
# Aufschlüsselung von Mehrwert m = a + bc + bv nur bei Rosdolsky;
#
# Abt. I in allen Jahren (eigene Extrapolation für Jahr 5-6):
#       aI   / mI  = 0.5
#       bcI  / mI  = 0.4
#       bvI  / mI  = 0.1
# Abt. II in Jahr 1:
#       aII  / mII = 0.8
#       bcII / mII = 0.1333
#       bvII / mII = 0.0666
# Abt. II in Jahr 2-6 (eigene Extrapolation für Jahr 5-6):
#       aII  / mII = 0.7
#       bcII / mII = 0.2
#       bvII / mII = 0.1
#
# c:    konstantes Kapital
# v:    variables Kapital
# a:    Konsumption der Kapitalisten ("\alpha" bei Rosdolsky, nach Bucharin)
# bc:   Neuakkumulation zum konstanten Kapital ("\beta^c")
# bv:   Neuakkumulation zum variablen Kapital ("\beta^v")
#
Jahr    c_I     v_I     a_I     bc_I    bv_I    c_{II}  v_{II}  a_{II}  bc_{II} bv_{II}
1       4000    1000    500     400     100     1500    750     600     100     50
2       4400    1100    550     440     110     1600    800     560     160     80
3       4840    1210    605     484     121     1760    880     616     176     88
4       5324    1331    666     532     133     1936    968     677     194     97
5       5856    1464    732     586     146     2129    1065    746     213     107
6       6442    1610    805     644     161     2342    1172    820     234     117

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