Given a population of players and their shooting accuracies from different locations, assign point values to the court so that shot selection of the population is uniform across the whole area. Each player of course chooses to shoot from where they have the highest expected point outcome.
Goal is to spread the game over the whole court (not necessarily a good idea).
The point value map could be determined iteratively: at the end of each season, where ever there was high number of shots attempted, decrease the point value from there; where ever there was a low number, increase.
Simpler: solo "linear" shooting contest, no defense. Each player can choose to shoot from any point along the line down the middle of the court (the line from one basket to the basket on the other end of the court). Point values vary along the line. Spectators can be much closer.
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