An example of game theory in terms of profit of firms:
Firm B
High Price Low price
A1: £50 mil A3: £30 mil
High Price
B1: £50 mil B3: £80 mil
Firm A
A2: £80 mil A4: £40 milLow Price
B2: £30 mil B4: £40 mil
The above table (which may be slightly unclear as i can't draw lines to separate each box) shows the outcomes of different decisions taken by two firms. If the firms act in a collusive way and both set a high price, then they both make a significant level of profit (see A1, B1). However if they agree to set a high price and Firm A chooses to undercut Firm B by setting a lower price, Firm A is likely to be far more popular with consumers than Firm B (as goods are cheaper) and therefore Firm A will make a huge profit of £80 million at the expense of B which only makes £30 million (A2, B2). If both firms try to undermine one another by setting a low price (A4, B4) then both will have lost out on the £10 million profit which they would have made if they'd stuck to their original agreement of a high price.
For this situation to occur the firms don't necessarily have to in collusion, however it is much more likely to occur if they are. The most commonly used example of game theory is the prisoner's dilemma.
Game theory is commonly used in economics and can be applied to many situations e.g. advertising budget. If one firm spends lots of money on advertising and another does not, this could hugely improve the profits of the first firm. If both set high budgets then they both make good profit. If both set low budget, they both make low profit - its the same situation as above.
Firm B
High Ad Budget Low Ad Budget
A1: £50 mil A3: £30 mil
High Ad Budget
B1: £50 mil B3: £80 mil
Firm A
A2: £80 mil A4: £40 milLow Ad Budget
B2: £30 mil B4: £40 mil
Sorry that some of the numbers are randomly red. I've corrected it twice but they keeps changing back when I publish the post..
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