How to read a payoff matrix : Game Theory

Eg – Payoff matrix for a new technology game

Firm B

Firm A

Start a new campaign

Don’t Start

Start a new campaign

10,5

15,0

Don’t Start

6,8

10,2




Explanation
1.There are 2 firms A and B and they want to decide whether to Start a new campaign.
2.each firm will be affected by its competitor’s decision.
3. The above table shows the payoff to both firms. This table is called payoff matrix.
4. (a,b) -The first number in each cell is the payoff(profits) to A and second number in each cell
is the payoff to B.
-(10,5) shows the payoffs when both firms start a new campaign.
Firm A’s profits are 10 and firm B’s are 5.
-(15,0) shows the payoffs when firm A starts a new campaign abd Firm B does not.
Firm A’s profits are 15 and firm B’s are 0.

9 comments:

Anonymous said...

This was helpful to a certain point. What about the second set of numbers on the matrix?

Pkmnisdabomb said...

To answer the comment question above, the author did explain each of the numbers in the matrix. In each of the 4 "quadrants", there are two numbers that represent the results of the four possible decisions.

In the top left quadrant (10,5), the two numbers mean Firm A starts a new campaign with a gain of 10 while Firm B starts a new campaign with a gain of 5.

In the top right quadrant (15,0), the two numbers mean Firm A starts a new campaign with a gain of 15 and Firm B does not start a new campaign.

In the bottom left quadrant (6,8), Firm A does not start a new campaign and therefore their gain is only 6, while Firm B does start a new campaign resulting in a gain of 8.

In the bottom right quadrant (10,2), both firms do not start a new campaign. The result is Firm A has a gain of 10 while Firm B (obviously doing poorly compared to it's competitor) has a gain of only 2.

In conclusion, all 4 numbers are accounted for.

Sanja said...

Thank you very much, it was straightforward and very helpful

Ish C said...

But in reality we do not know what opponent strategies are, then how can it be based on 2 firms? Besides how the numbers are picked? We can choose 1, 2. Is there any specific reason to pick these numbers?

Thanks.

Sarika said...

Guys, please see the next article. Everything is explained

Unknown said...

But in reality we do not know what opponent strategies are, then how can it be based on 2 firms

Unknown said...

But in reality we do not know what opponent strategies are, then how can it be based on 2 firms

Unknown said...

Ish C's question is typically mine. I'll be grateful when it gets answered. Thanks

Home Services said...

Want to boost your sales with digital marketing? Well, that’s possible if you choose the right strategies for your business. Selecting the right digital marketing strategies can improve engagement, attract your target audience, yield more conversions, and result in sales.

As a business owner, you want to make as much money as possible. After all, you can use a healthy profit to recruit more workers, grow your operations, or give back to the community. But often, it takes money to make money.

Here are the top 20 unique ways to increase sales even when customers are reluctant to spend their money:
https://ppcexpo.com/blog/unique-ways-to-increase-sales