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Knapp, Michael P.1
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The Prisoner's Dilemma: Introducing Game Theory
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Shaw, Doug J.; Miller, Catherine M. – Mathematics Teacher, 2015
Since 1950, the Prisoner's Dilemma has intrigued economists and amused fans of mathematics. It presents a situation in which two players acting to their own advantage do not do as well together as two players whose actions oppose their individual interests--hence, the dilemma. Variations of the Prisoner's Dilemma have appeared in diverse…
Descriptors: Game Theory, Mathematics Education, Mathematics Activities, Mathematical Logic
Delving Deeper: Studying Baseball's Wild-Card Team Using Probability
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Auer, Richard E.; Knapp, Michael P. – Mathematics Teacher, 2013
The modern era of professional baseball playoffs began in 1903, when the champions of the American League and the National League played the first World Series. Except for one year, 1904, this playoff system was maintained until 1969. Beginning in 1969, each of the two leagues in Major League Baseball (MLB) was divided into two divisions to…
Descriptors: Probability, Team Sports, Mathematical Models, Game Theory