Greenwood press
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MATRICES Linear programming uses algorithms such as the simplex method to compute the most profitable solution from matrices of production. Matrices also structure inquiry into situations that have competing players with multiple choices of action. The outcomes can be organized into matrices that use players for rows and options for columns. Game theorists have developed mathematical strategies for transforming the matrices in a way that gives each player the best outcome, or in a way that avoids worst outcomes. Game strategies have been used to ana- lyze competition for food, to determine which students get the last seats in col- lege courses, to resolve conflicts in classrooms, and to select the best choices for potentially warring nations. The importance of game theory for the study of eco- nomic behavior is recognized by the awarding of the Nobel prize. The 1994 award in economics went to John Nash, John C. Harsanyi, and Reihard Selten for their contributions to game theory. Other Nobel awards related to game theory have been those in 1996 to William Vickrey and James Mirrlees, and to Herbert Simon in 1979. However, these were not the first Nobel prizes to recognize work with matrices. In 1973, Wassily Leontief won the prize for his prediction of best economic strategies from large input–output matrices. Leontief’s theories were the basis for U.S. government policies that resulted in effective industrial pro- duction during World War II. online sources for further exploration Ratings of college football teams David Levine’s Zero Sum Game Solver Cryptology and coding Electronics Image rotation Logging Markov chains Matrices in chemistry Matrix model activities Stability of structures Download 1.81 Mb. Do'stlaringiz bilan baham: |
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