Lernkarten

Fabienne Keller
Karten 67 Karten
Lernende 5 Lernende
Sprache Deutsch
Stufe Universität
Erstellt / Aktualisiert 21.02.2013 / 22.07.2020
Lizenzierung Kein Urheberrechtsschutz (CC0)
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0 Exakte Antworten 67 Text Antworten 0 Multiple Choice Antworten
Fenster schliessen

Give an example for a game with continuous strategy spaces

- Monopoly

- political campaign advertising

Fenster schliessen

Does Rationality lead to equilibrium play?

not necessarily.

--> we know that rational players will play strategies that survive IESDS. In some cases this leads to a unique profile. (This is then the unique NE of the game)

Fenster schliessen

Definition of Nash Equilibrium

A NE is a list of strategies, on for each player, such that no player can get a better payoff by switching to some other strategy that is available to her while all the othere players adhere to the strategies specified for them in the list.

Fenster schliessen

What's a...

a) strict NE

b) not strict NE

a) a NE where the payoffs of both players are strictly larger than any other payoff in their row/column

b) a NE where at least one of the players could give another answer and would get the same payoff

Fenster schliessen

What's a mixed strategy NE?

a mixed-strategy profile in a finite normal-form game is a mixed NE if and only if, for each player i...

- the expected payoff to every action to which the profile assigns positive probability is the same

- the expected payoff to every action to which the profile assigns zero probability cannot be larger than the payoff of any action to twich the profile assigns positive probability

- each player's expected payoff in an equilibrium is the expected payoff to any of the actions that is used with positive probability. Simplifies the calculation.

Fenster schliessen

Is it possible to play weakly dominated strategies in a NE?

Yes

Fenster schliessen

What's a subgame?

- begins at a decision node x that is a singleton

- includes all decision and terminal nodes following x in the tree.

- it cannot cut any information set

--> The whole game is a subgame!

Fenster schliessen

What's a subgame perfect NE?

A NE is subgame perfect if the players' strategies constitute a Nash equilibrium in every subgame

--> no matter what has happenend before, players must play a NE in the remaining game.

--> at any point in the game players believe that all will behave rationally in the remaining game

--> in games of perfect information, the SPE are the solutions found using backward induction