Ordinally symmetric game, Game Theory

Ordinally Symmetric Game Scenario

Any game during which the identity of the player doesn't amendment the relative order of the ensuing payoffs facing that player. In different words, every player ranks the payoffs from each strategy combination within the same order.

Description

A game is ordinally symmetric if the ordinal ranking of 1 player's payoffs is corresponding to the ordinal ranking of the transpose of the opposite player's payoffs. If the transpose of the opposite player's matrix is equivalent (not simply ordinally equivalent), then the sport is cardinally symmetric (or simply symmetric).

Outcome

The result that obtains from a selected combination of player's methods. each combination of methods (one for every player) is an outcome of the sport. A primary purpose of game theory is to work out that outcomes are stable, within the sense of being Nash equilibria

Example



Player 1



A

B

Player 2

A

1,5

0,6

B

3,1

4,8

Note that player 1's strategies are the matrix:

1

0

3

4

which transposed gives the following matrix (ranks in parentheses):

1 (3rd)

3 (2nd)

0 (4th)

4 (1st)

which is ordianlly equivalent to player 2's strategy matrix:

5 (3rd)

6 (2nd)

1 (4th)

8 (1st)

General Form



Player 2



L

R

Player 1

U

a,w

b,y

D

c,x

d,z

such that the ranking of a,b,c,d is equivalent to the ranking of w,x,y,z, respectively.

 

Posted Date: 7/21/2012 4:39:29 AM | Location : United States







Related Discussions:- Ordinally symmetric game, Assignment Help, Ask Question on Ordinally symmetric game, Get Answer, Expert's Help, Ordinally symmetric game Discussions

Write discussion on Ordinally symmetric game
Your posts are moderated
Related Questions
A static game is one during which all players build choices (or choose a strategy) simultaneously, while not information of the methods that are being chosen by different players.

A Nash equilibrium, named when John Nash, may be a set of methods, one for every player, such that no player has incentive to unilaterally amendment her action. Players are in equi

Write two methods for the mouse trap game (using your board created in Assignment 3) and an event handler (another method) to test the two methods. 1. world.raise(item) where

Another term for a preserved bid auction in which bidders simultaneously submit bids to the auctioneer with no knowledge of the amount bid by other member. Usually, the uppermost b

1. Consider two firms producing an identical product in a market where the demand is described by p = 1; 200 2Y. The corresponding cost functions are c 1 (y 1 ) = y 2 1 and c 2

An auction during which the bidder who submitted the very best bid is awarded the item being sold and pays a worth equal to the number bid. Alternately, in a very procurement aucti

A set of colluding bidders. Ring participants agree to rig bids by agreeing not to bid against each other, either by avoiding the auction or by placing phony (phantom) bids.

Leadership in an Oil Production Game Students can be broken into pairs to play this game once, witheach student's representing one country; then each shouldswitch partners and

To give Mom a day of rest, Dad Plans to take his two children, Bart and Cassie, on an outing on Sunday.Bart prefers to go to the amusement park (A), Whereas Cassie prefers to go to

Scenario Two corporations should simultaneously elect a technology to use for his or her compatible merchandise. If the corporations adopt totally different standards, few sales