What I thought about this summer
Professor William Zwicker
September 15, 2015
Bailey Hall 207
Refreshments will be served in Bailey Hall 204 4:45pm
When three hundred mathematicians are competing for fifty research grants, who wins? In many places (including Catalonia, where my Spanish co-author Josep Freixas lives) the value of a researcher's Hirsch Citation Index – HCI – plays a role. The HCI assigns a numerical value to your research record, based on productivity P (the number of research papers you published) and impact I (the number of other papers that cite yours). A record that strikes an appropriate balance between P and I yields a higher HCI, improving your chances for a grant.
Fifty-five years before Hirsch suggested his index, John Nash proposed a solution for the two person bargaining problem: how should two people A and B reach an agreement that will determine the amount of utility (money? pleasure?) each gets? Nash's solution strikes an appropriate balance between the amount of utility A gets from the bargain, and the amount B gets.
Our talk will focus on the key idea that Josep Freixas and I had this summer, of developing an improved version of HCI by importing Nash's more sophisticated notion of appropriate balance into Hirsch's context.
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