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Mathematics and Cognition Seminar Spring 2008 Tuesdays 12:15 PM PSA 206 Seminar Series Schedule:<http://math.la.asu.edu/~tom/cognition/math+cogsched.html> Cookies and Coffee Starting at 12:00 Note the New Location! Maps ("X" marks the spot) |
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On
Tuesday, March 18, at 12:15
in PSA 206, Dr.
David Wolpert, on
the topic "It can be smart to be stupid" |
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Abstract: An important
problem in game
theory is how to explain bounded rationality in general, and altruism
to non-kin in particular. Previous explanations have involved
computational limitations on the players, repeated plays of the same
game among the players, signaling among the players, networks of which
players play with one another, etc. As an alternative I show
how
a simple modification to any game can make bounded rationality be
optimal for that game. In particular, this modification can make
altruism to non-kin be optimal.
Intuitively, the
idea of this
extension is that before playing the game, the players all adopt
``personas" that determine how they will act in the game. By changing
ones choice of persona, a player will induce the other players to make
different choices in the game. In particular, sometimes by adopting a
bounded rational persona, a player i will induce the other players to
change their choices in a way that benefits i. When that is
the
case, player i's adopting that ``bounded rational'' persona is actually
optimal for i.
As particular
illustrations, I
show how such persona games can explain some experimental observations
concerning the prisoner's dilemma, the ultimatum game, and the
traveler's dilemma game. I also discuss the possible implications of
persona games for evolutionary biology, for the concept of social
intelligence, and for distributed control ofsystems of systems.
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