Why does a penalty kicker in a soccer game use a mixed strategy?
What will be an ideal response?
If a penalty kicker chooses a pure strategy of kicking in one particular direction, the goalie will notice and best respond by always diving in the same direction. This will result in a negative payoff to the kicker. However, if the kicker chooses a mixed strategy by kicking either left or right randomly, the goalie will not be able to choose a strategy for himself.
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What were the two main sources of population increases during the antebellum period?
(a) a significant increase in the number of indentured servants and slaves (b) immigration and a natural increase in population (c) government policies providing incentive to procreate and advanced pre-natal care (d) longer life expectancies and high infant mortality rates
In a progressive tax system
A) the marginal tax rate and the average tax rate are the same for every income level and the same as income increases. B) the marginal tax rate increase as income increases but the average tax rate does not change as income increases. C) the marginal tax rate and the average tax rate increase as income levels increase and the marginal tax rate exceeds the average tax rate. D) the marginal tax rate and the average tax rate decrease as income levels increase and the marginal tax rate is less than the average tax rate.