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Unread 29 May 2003, 06:21   #1
Nodrog
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Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.Nodrog has ascended to a higher existance and no longer needs rep points to prove the size of his e-penis.
Logic/Game Theory Question

A top-tier math school challenges, individually, each of five, math school applicants, who have parallel credentials for admission to the math school, to determine the self-allocation of a $100,000 fellowship (divisible in allocations of $1,000 only). The allocation process is governed by the following conditions:

First, the five applicants draw lots to determine their respective, sequential turns to submit their proposed self-allocations of the $100,000 fellowship. Second, applicant #1 submits his/her allocation that is either accepted or rejected by a majority vote of the five applicants.

Each math-school applicant must take his chronological turn; there can be no abstentions. A tie vote is to be considered a majority vote.

If #1 submits an allocation that does not win a majority of the five votes, then #1's application to the top-tier maths school is rejected, and the challenge is passed to applicant #2. If applicant #2 submits an allocation that does not win a tie or a majority vote, then #2's application to the top-tier maths school is rejected, and the challenge is passed to applicant #3. This process is iterated until either a tie or a majority is reached, or only the remaining applicant #5 is admitted to the top-tier maths school with a $100,000 fellowship. There must be no collusion whatsoever, and the only motivation(s) of each applicant is to win the $100,000 fellowship and/or avoid rejection by the top-tier maths school.

What will #1 offer, assuming everyone acts completely rational?


Notes:

Eveyone votes on a proposed allocation, apart from people who have already had theres turned down. For example, if #2 is making a proposition, then #2-#5 can all vote on it. If its accepted, then #2-#5 all get in, and the money is split according to #2's proposition.

Last edited by MrL_JaKiri; 29 May 2003 at 07:45.
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