Woensdag 12 maart 2003
Spreker: 
Marc Meertens (KUN)

Titel: 
Evolution and the Nashequilibrium

Tijd: 
11:00  12:00

Plaats: 
CK N4 (N3045)

Vanaf half 11 is er koffie en chocola.
Abstract
The most wellknown and extensively used solution concept for applications of
(noncooperative) game theory is the
Nashequilibrium.
And after the movie
`A Beautiful Mind' this solution concept became even
known to the `outside world'. However, it gives rise to the questions
how
players know that a Nashequilibrium will be played and
which
Nashequilibrium is to be played if a game has more than one Nashequilibrium.
In an attempt to answer these questions, gametheorists started to investigate
`evolutionary' explanations of Nashequilibria. This was motivated by the work
of biologists in game theory, in particular, the work of Smith and Price
(
Nature (1973)). The idea is to replace each player, who is assumed to
be rational, by a population of nonrational individuals (for instance, animals)
and to show that over time these populations have a tendency towards
Nashequilibria. An approach to formalize this idea is by a dynamic selection
process based on a system of (ordinary) differential equations.
The goal of my talk will be to give an insight to the concept of the
Nashequilibrium and to discuss some results of a dynamic selection process,
defined by Jos Potters, Hans Reijnierse and myself.