Abstract
This chapter shows concrete applications of sets, functions, and relations: 1. Arrow’s Impossibility Theorem. Kenneth J. Arrow received the Nobel Prize in Economic Science in 1972, mainly for his Impossibility Theorem, from work at the RAND Corporation in 1948 [4, p. 328, footnote 1]. 2. Gale and Shapley’s Matching Algorithm. Gale and Shapley’s Ph.D. advisor was Princeton’s Albert William Tucker; Lloyd S. Shapley received the Nobel Prize in Economic Science in 2012, for work that can be traced back to a lecture by John von Neumann in 1948 at the RAND Corporation [68, p. 384]. 3. Nash’s Equilibrium. Nash’s Ph.D. advisor was Princeton’s Albert William Tucker; John Forbes Nash, Jr., received the Nobel Prize in Economic Sciences in 1994, for work that can be traced to Melvin Dresher and Merrill Meeks Flood in 1950 at the RAND Corporation [12, 124, 125]. He received the Abel Prize in 2015.
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Nievergelt, Y. (2015). Applications: Nobel-Prize Winning Applications of Sets, Functions, and Relations . In: Logic, Mathematics, and Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3223-8_7
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