1 / 23

# Games with - PowerPoint PPT Presentation

Games with Simultaneous Moves I :Discrete Strategies Outline Games with simultaneous moves Nash Equilibrium Dominance Minimax in Zero-sum Game Three Players Multiple/Zero Equilibria in pure strategies Tree Forms into Strategic Forms Games with Simultaneous Moves Simultaneous moves?

Related searches for Games with

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Games with ' - JasminFlorian

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Games with Simultaneous Moves I:Discrete Strategies

• Games with simultaneous moves

• Nash Equilibrium

• Dominance

• Minimax in Zero-sum Game

• Three Players

• Multiple/Zero Equilibria in pure strategies

• Tree Forms into Strategic Forms

• Simultaneous moves?

Strategy vs. action

• Discrete/Continuous strategy

• What is Equilibrium?

• Cell-by-cell-inspection or enumeration

• Best Response Analysis

• The N.E is (Low, Middle) →(5, 4)

• A Nash Equilibrium in a game is a list of strategies, one 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 other players adhere to the strategies specified for them in the list.

• Nash Equilibrium as a system of beliefs

• Nash Equilibrium is a set of strategies, such that

(1)each player has correct beliefs about the strategies of the others

(2)the strategy of each is the best for herself, given her beliefs about the strategies of the others

• Dominant strategy is an action clearly best for a player, no matter what the others might be doing.

• “Confess” is a dominant strategy for the husband, while “Confess” is also a dominant strategy for the wife. NE: (Confess, Confess) →(10yr, 10yr)

• MiniMax/Maximin

TALIA chooses C

TALIA chooses NC

TALIA chooses D

TALIA chooses ND

• Coordination Games

• Battle of the Sexes

• Focal Point

• Convergence of expectation

• Assurance Games

• Rock-Paper-Scissors

• N.E exists in mixed Strategies

L

(3, 1)

U

(2, 2)

R

2

1

D

L

(1, 3)

R

(4, 1)

2