Talk:Core (economics)
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The example of a game with no core is not very clear. I think it would be a good idea to spell out why there is no solution for 3 miners which cannot be improved for some coalition. Something along the lines of "If there are 3 miners, A, B, and C, and A and B choose to split all the gold between them, then C could offer A a split that is not 50/50. In order for this to be an improvement, C would be getting some non-zero amount and A would be getting the rest, meaning that B could always team up with C to split 50/50 again. So since any payout besides (1/2, 1/2, 0) leaves 2 miners that are getting less than 1/2 (and would thus benefit from a 50/50 split), and the payout of (1/2, 1/2, 0) can be improved by the miner getting 0 offering a non-50/50 split to one of the others, no payout is core." Leusebi 10:52, 15 March 2007 (UTC)
- Thank you for your suggestion! When you feel an article needs improvement, please feel free to make those changes. Wikipedia is a wiki, so anyone can edit almost any article by simply following the Edit this page link at the top. You don't even need to log in (although there are many reasons why you might want to). The Wikipedia community encourages you to be bold in updating pages. Don't worry too much about making honest mistakes — they're likely to be found and corrected quickly. If you're not sure how editing works, check out how to edit a page, or use the sandbox to try out your editing skills. New contributors are always welcome. --best, kevin [kzollman][talk] 22:22, 15 March 2007 (UTC)