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X-WR-CALNAME;VALUE=TEXT:Eventi DIAG
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DTSTART:20231029T030000
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UID:calendar.27378.field_data.0@www.diag.uniroma1.it
DTSTAMP:20240415T113416Z
CREATED:20231115T143836Z
DESCRIPTION:Abstract: LP duality (the strong duality theorem of linear prog
ramming) and the minimax theorem for zero-sum games are considered 'equiva
lent' in the sense that one can easily be proved from the other. However\,
the classic proof by Dantzig (1951) of LP duality from the minimax theore
m is flawed. It needs an additional assumption of strict complementarity.
We show that this assumption amounts to assuming the Lemma of Farkas\, whi
ch proves LP duality directly. We fix this with a new\, different proof vi
a the Theorems of Gordan (1873) and Tucker (1956)\, distilled from Adler (
2013). We also describe some lesser known beautiful existing direct proofs
of the minimax theorem and the Lemma of Farkas. This is a mostly exposito
ry talk on a rather general but fundamental topic and is not too technical
.
DTSTART;TZID=Europe/Paris:20231123T160000
DTEND;TZID=Europe/Paris:20231123T160000
LAST-MODIFIED:20231115T145100Z
LOCATION:DIAG - Aula Magna
SUMMARY:Seminario Bernhard von Stengel (London School of Economics) - Zero-
sum Games and LP Duality - Bernhard von Stengel (London School of Economi
cs)
URL;TYPE=URI:https://www.diag.uniroma1.it/node/27378
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