Spelteori på krogen

I filmen "A Beautiful Mind" som speglar John Nash liv så finns det en scen då det enligt manus skall förklara hur Nash equilibrium fungerar. Dock är detta inte riktigt helt rätt i filmen och nedan PDF förklarar ingånde varför:

A Beautiful Blonde: a Nash coordination game
Simon P. Anderson and Maxim Engersy
July 2002.

Abstract

In a memorable scene from the …lm ”A Beautiful Mind,” John Nash explains to
his friends how to direct their attentions to women in a bar. Game theorists who have
seen the …lm point out that the proposed solution is not a Nash equilibrium. Here we
determine the Nash equilibria to the attention game. The symmetric mixed strategy
equilibrium has resembles a common property resource problem. It has perverse comparative
static properties that are not borne out by experimental data. Finally, we
discuss alternative ways of formulating the game.
Keywords: coordination, Nash equilibrium, mixed strategy equilibrium, common
property resource problem, comparative statics.

Länk: ftp://ftp.virginia.edu/pub/bk5x/RePEc/vir/virpap/papers/virpap359.pdf

Andra bloggar om: spelteori, A Beautiful Mind, John Nash.