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Imagine as a thought experiment that you live in a small village and depend on the local fish pond for food. You share the pond with three other villagers. The pond starts off with a dozen fish, and the fish reproduce. For every two fish, there will be one baby added each night. So, in order to maximize your supply of food, how many fish should you catch each day? Take a moment to think about it. Assume baby fish grow to full size immediately and that the pond begins at full capacity, and ignore factors like the sex of the fish you catch. The answer? One, and its not just you. The best way to maximize every villagers food supply is for each fisherman to take just one fish each day. Heres how the math works. If each villager takes one fish, there will be eight fish left over night. Each pair of fish produces one baby, and the next day, the pond will be fully restocked with twelve fish. If anyone takes more than one, the number of reproductive pairs drops, and the population