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Sports Economics
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The economic analysis of competitive sports, the institutions that organize competitive sports, and other economic activity that is related to the consumption and production of competitive sports
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Game Theory
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An individual or team is engaged in a strategic interaction that depends on the actions of others
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Game
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A competition between players
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Payoff
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The player's valuations of the outcome of the game. Because we are dealing with sports, the payoffs will be things like "winning" and "losing"
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Payoff function
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Determines a players payoff given the combination of actions by the other players
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Rules of the game
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Just that--the rules. They determine who goes first or if you move simultaneously with other players. This is given--players do not get to set the rules of the game.
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Strategy
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Specifies the action a player will make conditional on the information available and for any possible contingency. Strategy is all you, and has not yet considered the behavior of others.
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Strategic behavior
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A set of actions a player takes to increase his/her payoff, taking into account the possible actions of other players
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Optimal strategy
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One that maximizes the expected payoff (for some games this is the same as minimizing the expected loss)
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Strategic interdependence
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Occurs when a player's optimal strategy depends on the actions of others
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Assumptions about games
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Dominant strategy
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No matter what the other party does, the strategy that you pursue gets you the highest possible payoff
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Best response
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The strategy that maximizes payoffs given what the other players do (a dominant strategy IS a best response, but a best response is not always a dominant strategy)
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Nash Equilibrium
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Given what I do, your strategy is optimal, and given what you do, my strategy is optimal. Each player is following their best response given what the other players are doing.
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Mixed strategy
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A strategy in which you randomize what you are going to do
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