Nachbesprechung Gesamtprüfung September 2010

[StephanS]

Wenn es in reinen Strategien kein NG gibt, dann gibt es doch immer in gemischten eins, oder?

[DeadEye1234]

Wenn es eine dominante Strategie für einen Spieler gibt existiert überhaupt kein NG, auch nicht in gemischten Strategien.

[StephanS]

Wenn es eine strikt dominante gibt, dann gibt es ein NG -> NG in reinen.


z.B. Webrung/keine Werbung

Werbung ist für A immer besser, d.h. B nimmt die Option, die für ihn besser ist
=> Ggw., da A immer W nimmt, egal was B macht.

[blapaul]

every game with a finite number of players and a finite number of strategies for each player has at least one Nash Equilibrium. the problem usually is that there are several Nash equilibria.

when two players bid €10 then it is not a NE because one of them pays €10 and gets nothing in return.

i have a broken hand (ski accident ) so it is a bit difficult for me to type. if you have some urgent questions on micro2 and nobody can answer them, you can reach me @ 0676872571520.

good luck to everyone on Tuesday (you will need it )

[I_am_the_Highway]

luck = preperation meets opportunity

thanks for the motivation anyway

[StephanS]

@blapaul

is there a NE in mixed strategy when two players bid €10 and the decision will be made by a coin flip?
and dominant strategies have always a NE? or have I got a wrong idea?

[blapaul]

@blapaul
is there a NE in mixed strategy when two players bid €10 and the decision will be made by a coin flip?

this can never be a NE, because each of them faces a 50% probability of losing €10 and they are better off if they bid nothing and stay out of the auction.

@blapaul
and dominant strategies have always a NE? or have I got a wrong idea?

elimination of dominant strategies does not always lead to a NE. but if you eliminate stricty dominated strategies and you arrive at one possible solution, that must be a unique NE. Yet, elimination of weakly dominated strategies may lead to different NE depending on the way how you eliminate them. see lecture slides for more details.