Talk:Non-convexity (economics)

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A fact from Non-convexity (economics) appeared on Wikipedia's Main Page in the Did you know column on 7 February 2011 (check views). The text of the entry was as follows:

Did you know... that economists blame market failures on non-convexity?

A record of the entry may be seen at Wikipedia:Recent additions/2011/February.

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DYK[edit]

There were 2.5 thousand viewers. Kiefer.Wolfowitz (Discussion) 19:09, 18 February 2011 (UTC)[reply]

Clarke's subdifferential calculus[edit]

Perhaps the words "locally Lipschitz" should link to Lipschitz continuity? (Collin237) —Preceding unsigned comment added by 166.217.154.85 (talk) 05:15, 7 February 2011 (UTC)[reply]

Thanks for the suggestion, which prompted this revision: "Clarke's differential calculus for Lipschitz continuous functions, which uses Rademacher's theorem".

Please continue to suggest improvements, here and elsewhere.

Best regards, Kiefer.Wolfowitz (Discussion) 19:09, 18 February 2011 (UTC)[reply]

Add a reference to Koopmans[edit]

Tjalling Koopmans was the first to proof the non-existence of Walras-equilibria when production sets are non-convex. A reference to the "Three Essays on the State of Economic Science" is in place. One should include a graphics of his simple but enlightening example. This may help to understand the problem of non-convex production for non-scientists.--Hjsalchow (talk) 20:09, 10 May 2011 (UTC)[reply]

I incorporated and lightly edited a section from the Shapley-Folkman lemma, which carefully documents Koopmans's importance. Please add more about Koopmans, perhaps using the information in the footnote about his essay on convexity.

(I would rephrase your statement as his having given an example without a Walrasian equilibrium.) Best regards, Kiefer.Wolfowitz 20:12, 10 May 2011 (UTC)[reply]