Create a predictive equation
- Tila: Closed
- Palkinto: $100
- Vastaanotetut työt: 11
- Voittaja: JacobTheGiraffe
More info available on public comment board as I answer questions
An eccentric multibillionaire has donated ten of his billions to be distributed gradually over a period of a few years as part of a social experiment, but, he has not made it simple for prospective recipients. Anyone is free to ask for a share of the $10 billion, up to once per day, and each time they will receive some small fraction of the money.
The billionaire (who really is a bit crazy) is advertising his give-away only in small ways, so more people learn of it gradually. He is offering a $50 prize to the first person who can come up with a formula to ensure that the giveaway takes as close as possible to 5 years to complete, and that the amount of money he gives each requestor remains as close as possible to a constant value from day to day.
Assume the following:
1) The number of people interested will ultimately be small enough that the money can be made to last that long without needing to distribute quantities less than a cent.
2) The rate of increase in requestors will rise rapidly at first as an increasing number of people spread the word, but will at some point during the timeframe start to slow, as the knowledge of the giveaway begins to saturate the population.
Design one or more recursive equations which the billionaire can run each day to determine how much each requestor will receive. Then, explain it in words in such a way that the average person could understand.
There are obviously many very good solutions to this, and no one perfect solution. Thus, for every 10 reasonable and unique solutions I receive. I will award additional winners. Prize is $100 for first place winner. $50 for each additional winner up to a maximum of 10 winners.
“Great work. One of the first submissions and also the best. Thanks!”
jonasgryder, United States.