It is 1850 during the days of the Gold Rush in California, and 100 miners are simultaneously deciding which of two plots to go to and mine for gold. In order to simplify matters, suppose it is known how much gold is in the ground at each plot: 1,000 ounces in plot A and 600 ounces in plot B. A miner’s payoff is the number of ounces he mines, which is assumed to equal the number of ounces at the plot he has chosen divided by the total number of miners at that plot. Thus, miners at a plot are assumed to work equally effectively, so that they end up with equal shares of the amount of available gold.

How many miners go to plot A in the Nash equilibrium?

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