Timeline for Stromquist's 3 knives procedure
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 17, 2014 at 12:42 | comment | added | usul | @PerAlexandersson, ha, that would be outside the usual model of preferences, which are only allowed to be measures on the cake. | |
| Sep 17, 2014 at 10:39 | comment | added | Per Alexandersson | The last paragraph is the trick: People can have very strange preferences. I, for example, prefers the piece that makes most people envious of me. | |
| Sep 14, 2014 at 6:34 | vote | accept | Erel Segal-Halevi | ||
| Sep 11, 2014 at 19:18 | comment | added | usul | In sum, it seems reasonable to assume knife movements must be continuous, or else it seems that we need to more precisely define the rules. | |
| Sep 11, 2014 at 19:16 | comment | added | usul | The necessary formalization does not seem in place to deal with your scenario. If adversary 1 yells cut at precisely the same moment that adversary 2 makes a discontinuous knife movement, what should happen? What if Marge and adversary 1 both have a strategy of "yell immediately after a discontinuous knife movement satisfying ____", who yells first or is it a tie? If it is a tie, I think you're right and the allocation is not envy-free. But how do you formalize such a strategy ... it seems a bit odd to me.... | |
| Sep 11, 2014 at 19:12 | history | edited | usul | CC BY-SA 3.0 |
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| Sep 11, 2014 at 19:11 | comment | added | usul | I think you're right, it's a problem if players can move their knives in a discontinuous way. I wasn't considering ties for who yells cut, which is fine with continuous knife movements because if you yell at the moment that you are indifferent, then you're ok -- but with discontinuous moves there might not be this moment. | |
| Sep 11, 2014 at 6:54 | comment | added | Erel Segal-Halevi | What do you think about the scenario I just added to the question? | |
| Sep 10, 2014 at 17:28 | history | edited | usul | CC BY-SA 3.0 |
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| Sep 10, 2014 at 17:18 | history | answered | usul | CC BY-SA 3.0 |