StudentShare solutions

# Pure Strategy - Math Problem Example

## Extract of sample Pure Strategy

Player A would prefer to have the largest value possible from those highlighted. In the diagram this can be seen to occur when the line V = 2 + 7X intersects with V= 6 - 3X which occurs at the point as determined below.

Value of the game is as follows.

The minimax criteria is to maximise the minimum values. To find the solution for B's strategy we need to identify and solve the 2 by 2 pay-off matrix associated with A's optimal strategy. In this case that will be the columns associated with the lines V= 2 + 7X and V= 6 - 3X. Hence
3
9
6
2
Q3.

a) Solution:

The transformation is as follows.

Total Number of audience = 10000000
Total audience size as a pair in each matrix element = 100000
Total value of a pair in each matrix element = 10000000/100000 = 100
Subtracting half the total value of a pair as computed above from each element of the payoff matrix defined in the question.
Half the total value = 50

Payoff Matrix

SkyCast

Historical
Drama
Comedy
Contemporary
Drama
Variety

Mini Series
60 - 50
58 - 50
49 - 50
52 - 50
RayTV
Detective
55 - 50
52 - 50
54 - 50
59 - 50

Film
55 - 50
54 - 50
47 - 50
55 - 50

Variety
47 - 50
54 - 50
56 - 50
61 - 50

Transformed Matrix:

SkyCast

Historical
Drama
Comedy
Contemporary
Drama
Variety

Mini Series
10
8
-1
2
RayTV
Detective
5
2
4
9

Film
5
4
-3
5

Variety
-3
4
6
11

b) Solution:

SkyCast

Historical
Drama
Comedy
Contemporary
Drama
Variety

Mini Series
10
8
-1
2
RayTV
Detective
5
2
4
9

Film
5
4
-3
5

Variety
-3
4
6
11

Comparing fourth column with the third column 2 > -1, 9 > 4, 5 > -3...
In the diagram this can be seen to occur when the line V = 2 + 7X intersects with V= 6 - 3X which occurs at the point as determined below.
The minimax criteria is to maximise the minimum values. To find the solution for B's strategy we need to identify and solve the 2 by 2 pay-off matrix associated with A's optimal strategy. In this case that will be the columns associated with the lines V= 2 + 7X and V= 6 - 3X. Hence
The value decides the type of the show to be put out in order to maximise the ratings over the coming TV season. The value against Detective has more gain (approximately 3.33) and hence it has to be put out in order to maximise the ratings. ...Show more

## Summary

Pure Strategy occurs when the best strategy for each player is to choose the same option for all plays of the game. If there is a pure strategy, A plays i and B plays j (say), then the ijth element (the payoff to A per play) is called a saddle point.
Player A would prefer to have the largest value possible from those highlighted…
Author : craigtromp
Save Your Time for More Important Things
Let us write or edit the math problem on your topic
"Pure Strategy"
with a personal 20% discount.
Grab the best paper

### Check these samples - they also fit your topic

Risk assessment plan
From the research it is clear that probabilistic risk analysis (PRA) or quantitative risk analysis (QRA) or probabilistic safety analysis (PSA) is one of the most used methods of analysing risk in project development and operation. The use of this technique supports and validates the improvement of control and mitigation measures against threats.
19 pages (4750 words) Math Problem
Physics homework
The magnitude of the buoyancy force on an object depends upon the volume of the water that it displaces. In boat 1, the air inside the boat also serves as a means of displacing water. Whereas in boat 2, only the boat’s material itself is displacing the water; its inside is filled with water, thus that volume is not getting displaced.
2 pages (500 words) Math Problem
Management science
Based on the increased production schedule above, daily profit is \$6,008.08, excluding fixed daily overhead and financing cost. However, with fixed daily overhead and financing cost, CONICE still stands to lose \$1,092.92 per day. d. The grocery distributor will consider relaxing the contract restriction "requiring vanilla four packs to make up exactly 45% of the regular ice cream four packs delivered" to one where "vanilla four packs must make up at least 25% of the regular ice cream four packs delivered" if Bear will reduce the selling price of the regular ice cream four-packs to \$1.28.
2 pages (500 words) Math Problem
Logical Reasoning
Otherwise, the conclusion is said to be invalid. While most logical statements are straightforward, it is sometimes necessary to use different representations to more easily understand the logic. Among the many tools available are Euler circles and truth tables.
5 pages (1250 words) Math Problem
Personal Finance Concepts Math Problem
2 pages (500 words) Math Problem
Math hw4
According to Porter, differentiation is one of the winning strategies in the market which a company can utilize in order to compete with other players by stressing product attributes that sets it apart from its competitors. Cost leadership strategy entails pricing at par or even below the industry average in order to gain market share but also delivery of a certain level of product or service quality.
2 pages (500 words) Math Problem
A Linear Programming
4 pages (1000 words) Math Problem
Companys Distribution System
1. Given the status quo, the estimated distribution costs for the company in the following quarter is \$ 194,060 subdivided into \$92,252 from the plants to the distribution centers and \$101,808 from the distribution centers to the customer zones all over the country.
3 pages (750 words) Math Problem
Job selection-multiple criteria decision analysis
She has excellent curriculum vitae with a high grade point average and a strong record of campus participation in clubs and activities. As a result, she has had a number of good interviews with various companies. She now has
7 pages (1750 words) Math Problem
Math Finance
As a result, investors cannot come up with a perfect hedging portfolio that does away with all the associated risks (Mishken et al. 2009). Some of the causes of incomplete markets are transactional costs, market resistances and portfolio constraints. Due to
1 pages (250 words) Math Problem
Hire a pro to write
Win a special DISCOUNT!
Put in your e-mail and click the button with your lucky finger
Apply my DISCOUNT
Click to create a comment
Let us find you another Math Problem on topic Pure Strategy for FREE!