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Timeline for Optimal tax Rate

Current License: CC BY-SA 3.0

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May 31, 2011 at 23:52 comment added Thierry Zell @Raphael: I'm probably missing something, but I don't really see how the median voter theorem applies in your case.
May 31, 2011 at 21:34 comment added Andrey Rekalo @Raphael: you may get more answers at the sister site devoted to math finance quant.stackexchange.com
May 31, 2011 at 21:32 comment added Raphael There is three steps: first the median income choose the tax rate second people migrate third they pay their tax and receive the redistributed income. That's my problem, because the median income try to maximize is income but this one depends on the migration which depends on his choice. The fact that the choice is made by the median income is a consequence of the median voter theorem: en.wikipedia.org/wiki/Median_voter_theorem
May 31, 2011 at 21:28 history edited Thierry Zell CC BY-SA 3.0
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May 31, 2011 at 20:35 comment added Steven Landsburg I cannot figure out what median income you're trying to maximize. Country A currently contains x people. Then the tax rates are set, migration happens, and now Country A contains y people. Are we trying to maximize the median income of the the original population in Country A? Or of the final population in Country A? Or of that fraction of the original population of Country A that remains in Country A? Or perhaps of the total population of the two countries? And does "income" mean income net of moving costs? These are the first of many things I find unclear.
May 31, 2011 at 20:13 answer added Ralph Furman timeline score: 0
May 31, 2011 at 19:40 answer added Igor Rivin timeline score: 2
May 31, 2011 at 19:30 comment added Raphael We can assume the income distribution is gaussian, for example. For me it looks like a non-cooperative game with $N$ player, isn't? and the question is to find the Nash equilibrium, which is a question of "applied" mathematics, no?. But I am not a specialist of game theory, that why i ask to be enlightened.
May 31, 2011 at 19:19 comment added Michael Greinecker I don't think this is a research question in economics- and certainly not in mathematics. It is also underspecified. What is the overall income distribution? What is the initial income distribution? And there is nothing dynamic here.
May 31, 2011 at 18:48 history asked Raphael CC BY-SA 3.0