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Oct 3, 2015 at 22:48 comment added Vivek Iyer I see you have misunderstood the Lyapunov candidate function despite the link given by me.
Oct 3, 2015 at 18:24 comment added Vivek Iyer Why not mention that? Either your problem was trivial or it comes a cropper on the bugbear of all non-atomicity results- viz. silly things being implied by reliance on Zorn's Lemma.However, there is no canonical Muth rational cake division because regret minimization may be superior to utility maximization as may many other non-deterministic solutions.
Oct 2, 2015 at 6:13 comment added Erel Segal-Halevi @VivekIyer In fact, my target application is the problem of fair cake-cutting: en.wikipedia.org/wiki/Fair_cake-cutting in which non-atomicity is usually assumed.
Sep 30, 2015 at 19:59 comment added Vivek Iyer O.P does not seem interested in any other answer than the Talmudic Aumann-Maschler equal diviosn of contested element. Presumably the point is Religious.
Sep 30, 2015 at 15:46 comment added Vivek Iyer Robert Aumann and Harlow Shapley are Nobel Prize winning Economists. Aumann-Shapley values are germane in division problems. However this is not a 'natural' solution for reasons disclosed by the theory. Kindly have the courtesy to up vote before requesting more info- especially if your knowledge base is non conventional.
Sep 28, 2015 at 19:57 comment added Erel Segal-Halevi @VivekIyer I didn't understand what you meant by "vide Aumann & Shapley". Can you explain?
Sep 25, 2015 at 15:30 comment added Martin Van der Linden Do you know the literature on sharing rules for bankruptcy problems (e.g. sciencedirect.com.proxy.library.vanderbilt.edu/science/article/… for a review)? Once there are multiple types of goods to be shared, the cardinality assumption on preferences is often dropped, as in econ.hit-u.ac.jp/~cces/equlity_and_welfare_2012paper/…. You might find interesting stuff there.
Sep 25, 2015 at 8:38 answer added Vivek Iyer timeline score: -2
Sep 24, 2015 at 9:03 comment added Erel Segal-Halevi @Oliv I didn't know about it. I will read. Thanks
Sep 22, 2015 at 18:58 comment added Oliv Do you know the following paper? link.springer.com/chapter/10.1007%2F978-3-642-30347-0_30
Sep 22, 2015 at 13:46 history asked Erel Segal-Halevi CC BY-SA 3.0