This is in reply to Daniel Davies.

People should really consult my paper.  I answer these kinds of
objections in it.


"Why would anyone carry out production of a good worth half as
much as its inputs?"

They wouldn't, not knowingly.  That's not what's at issue here.
Consider the following tableaux:


Even-numbered hours
-------------------
sector       input of A      input of B      output  
------       ----------      ----------      ------
A               2                2              5
B               4                4             10
-----           -                -            
total           6                6          


Odd-numbered hours
-------------------
sector       input of A      input of B      output  
------       ----------      ----------      ------
A               4                4             10
B               2                2              5
-----           -                -            
total           6                6          


There's a 1 unit negative net product of A during even-numbered
hours and a 1 unit negative net product of B during odd-numbered
hours.  But over each 2-hour span, 15 units of A are produced,
while only 12 are used up, and the same goes for B.  So there's a
positive (3 unit) net product of each good over each 2-hour span. 

If the relative price of A in terms of B happens to exceed 4 in
even-numbered hours, and is less than 1/4 in odd-numbered hours,
then profit -- when measured in terms of simultaneous valuation
(when the input price is constrained to equal the output price) --
is negative in each hour, and therefore over every 2-hour span,
and therefore always.  But if wages are low, there is
surplus-labor.  So surplus-labor is not sufficient for positive
profit under simultaneous valuation.


"unless the less stylised version of this argument has some
compelling reason
why production of B would take place under these relative prices,
I'm not
sure that this conclusion can be established"

This isn't relevant.  What's at issue isn't what *will* happen,
but what is necessary and sufficient.  The above shows that
surplus-labor is not *sufficient* for profit under simultaneous
valuation -- one also must have the "right" kind of prices in
order to have profit, or else no negative net product of anything,
even for 1 hour.

Right?

Andrew Kliman

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