GAME THEORY
Select your objective: Nash
Nash Equilibrium is a set of strategies if no player can do better by unilaterally changing his or her strategy.
Popular Literature Games
Prisoner's Dilemma
Two suspects in a major crime are held in separate cells. There is enough evidence to convict each of them of a minor offense, but not enough evidence to convict either of them of the major crime unless one of them acts as an informer against other (finks). If they both stay quiet, each of them will be convicted of the minor offense and spend two years in prison. If one and only one of them finks, she will be freed and used as a witness against the other, who will spend three years in prison. If they both fink, each of them will spend one years in prison.
SUSPECT 2
Quiet Fink -1 -4 -4 -3 0 -3 Quiet Fink -1 0
Nash Equilibrium SUSPECT 1 Fink SUSPECT 2 Fink
SUSPECT 1
By examining the four possible pairs of actions in the Prisoner' Dilemma, it is seen that the pair (fink,fink) is the unique Nash Equilibrium because given that player 2 chooses fink, player 1 is better off choosing fink than quiet (looking at the second column of the table it is seen that fink yields player 1 a payoff of 1 whereas quiet yields player 1 a payoff of 0.) In the same way, given that player 1 chooses fink player 2 is better off choosing fink than quiet. (looking at the second row of the table it is seen that fink yields player 2 a payoff of 1 whereas quiet yields player to a payoff of 0.) And no other action profile is a Nash Equilibrium.
Your Game with Nash Equilibrium PLAYER B
strategy 1 strategy 2 0 0 -10 20 10 10
startegy 2 strategy 2 Nash Equilibrium Player A Player B
PLAYER A
strategy 1 startegy 2
0 -50
1
2 Nash Maximin
3
4
Nash Equilibrium is a set of strategies if no player can do better by unilaterally changing his or her strategy. Maximin Equilibrium is a set of strategies which each player maximize the minumum gains that can be earned.
FALSE FALSE -10 -50 -10 FALSE FALSE
FALSE TRUE 0 10 10 TRUE FALSE
to construct nash equlibrium
to construct maxmin equlibrium FALSE FALSE FALSE TRUE 1 SUSPECT 1 SUSPECT 2 PERSON 1 PERSON 2 PERSON 1 PERSON 2 Prisoner's Dilemma Matching Pennies HUNTER 1 HUNTER 2
TRUE FALSE FALSE FALSE TRUE 1
Bach or Stravinsky Stag hunt strategy1 Quiet Head Bach Stag 1 2 -1 -1 1 2 3 -4 -1 0 0 4 0 1 0 1 5 0 -1 0 1 6 -4 1 0 0 strategy2 Fink Tail Stravinsky Hare 7 -3 1 1 1 8 -3 -1 2 1
FALSE FALSE -4 -3 -3 FALSE FALSE
FALSE TRUE -4 -3 -3 FALSE TRUE
1 2 3 4
-1 1 2 2
1 1
Follow the steps to enable your Game Theory template.
>>
Game theory is a branch of applied mathematics that is used in the social sciences, most notably in economics, as well as in biology, science, and philosophy. Game theory attempts to mathematically capture behavior in strategic situations, in which an individual's s expanded to treat a wide class of interactions, which are classified according to several criteria. Today, "game theory is a sort of umb where 'social' is interpreted broadly, to include human as well as non-human players (computers, animals, plants)" (Aumann 1987). This template is prepared for analyzing popular litarature games and solving custom games. The games may be analyzed according to 2 equilibrium rules: Nash and Maximin. Your Game Theory template is ready to use. Following steps are for online use. Visit the site below: http://www.spreadsheetweb.com/getting_started.htm You will only need the username and password to create your Game Theory template.
>> >> 1)
2)
Visit the site below: http://trial.spreadsheetweb.com/spreadsheetweb/ Login to page with your new account information.
3) >> >>
Click "Add Web Application" to upload this file. Your Game Theory template will be created automatically. You can simply use the Game Theory template from that link or place it on your website. Your Game Theory template will look like: http://www1.spreadsheetweb.com/SpreadSheetWeb/Output.aspx?ApplicationId=c637b3f9-db87-4de0-8836-1d44cdebc66e In order to see more online applications created with PSW you can check the link below: http://www.spreadsheetweb.com/demos.htm
Copyright (c) 2009 Pagos, Inc. http://www.pagos.com/
onomics, as well as in biology, engineering, political science, international relations, computer ons, in which an individual's success in making choices depends on the choices of others. It has been "game theory is a sort of umbrella or 'unified field' theory for the rational side of social science, mals, plants)" (Aumann 1987).
0-8836-1d44cdebc66e