Tuesday 7 December 2010

cooperation and coordination

The first theory we looked at is the game theory which is a situation that has maultiple decision makers. Every one palying the game will in turn have an affect on the other person playing.
Within game theory there are such situations called play off's where the outcome of decision makers will have a pay off for each of the individuals palying.

Nash Equilibrium

The nash is achieved when both players have moved into positions where they have recieved the highest value possible to them.

With the collom and Row game players make there decisions from the expectations from what they believe the other player os going to make.
With the collom and row game for the nash to be achieved the row player would have to move low and the collom player would have to move right as this would then give the figure that both palyers could gain at there highest level. In this game both palyers are tyinging to maximise there play off's by working out the other players expectations. Row players can only move up and down ans collom players can only move left to right.

Dominance

A game that is used to show dominance bewteen individuals is the husband and wife game. Here a husband and wife have murdered an individual and only by working together will they be able to minimise the number of years they would recieve in jail as punishment.
As if one decide to confess and the other lies and vise verser this will leave either the husband or wife serving more years than the other. In there case here the Nash would be mutal confession as neither of them can be sure what the other will say confession will leave them serving the least amount of years as the lier in turn recieves more than double what they would recieve provided they confessed

Another game that can be used to demonstrate dominance is the game known as chicken where two people would drive into a dangerous situation and the fist to bail would be the looser. Here the only advantage each player has over one another would be to try and intimidate the other player or to try and trick them of there actuall intended movements. The nash here would be that one player swerves and the other player continues straight and vise verser.