2. Five greedy people start a greedy company together. Their collective goal is to find macguffins, which they will then distribute amongst themselves. They agree to vote on all decisions. They'll propose plans in order of seniority. If more than half of them agree on a proposal, it will be adopted. If a plan fails to get more than half of the vote, the person who proposed it gets kicked out of the company and the next person (in order of a seniority) proposes a plan, and so on. They go on to find 441 macguffins. The macguffins have equal value and must be distributed (in non-negative integer amounts) amongst the group. This distribution is allowed to be uneven. Presume they all want to stay in the company more than they want to get any immediate reward. Pre- sume their next highest priority is to get as many macguffins as possible. Their third highest priority is to kick other people out of the company. Presume they all make optimal decisions. Who remains in the company? How many macguffins does each person get?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
Problem 7P
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2. Five greedy people start a greedy company together. Their collective goal is to find macguffins, which
they will then distribute amongst themselves. They agree to vote on all decisions. They'll propose
plans in order of seniority. If more than half of them agree on a proposal, it will be adopted. If a plan
fails to get more than half of the vote, the person who proposed it gets kicked out of the company and
the next person (in order of a seniority) proposes a plan, and so on.
They go on to find 441 macguffins. The macguffins have equal value and must be distributed (in
non-negative integer amounts) amongst the group. This distribution is allowed to be uneven.
Presume they all want to stay in the company more than they want to get any immediate reward. Pre-
sume their next highest priority is to get as many macguffins as possible. Their third highest priority
is to kick other people out of the company. Presume they all make optimal decisions. Who remains in
the company? How many macguffins does each person get?
Transcribed Image Text:2. Five greedy people start a greedy company together. Their collective goal is to find macguffins, which they will then distribute amongst themselves. They agree to vote on all decisions. They'll propose plans in order of seniority. If more than half of them agree on a proposal, it will be adopted. If a plan fails to get more than half of the vote, the person who proposed it gets kicked out of the company and the next person (in order of a seniority) proposes a plan, and so on. They go on to find 441 macguffins. The macguffins have equal value and must be distributed (in non-negative integer amounts) amongst the group. This distribution is allowed to be uneven. Presume they all want to stay in the company more than they want to get any immediate reward. Pre- sume their next highest priority is to get as many macguffins as possible. Their third highest priority is to kick other people out of the company. Presume they all make optimal decisions. Who remains in the company? How many macguffins does each person get?
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