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Suvam Banerjee

I am a B.Tech Graduate from the West Bengal University of Technology giving home tuition. I have more...

Relationship between backward induction and other solutions If you have gone through the exercises for the previous three sections, you will have seen that the backwards-induction solutions are also Nash equilibria in all those games. It is always true, as stated in the following theorem. Theorem 3.4.1... read more

Relationship between backward induction and other solutions

If you have gone through the exercises for the previous three sections, you will have seen that the backwards-induction solutions are also Nash equilibria in all those games. It is always true, as stated in the following theorem.

Theorem 3.4.1 Every backwards-induction solution of a perfect-information game is a Nash equilibrium of the associated strategic form. In some games, the set of backwards-induction solutions coincides with the set of Nash equilibria (see, for example, Exercise 3.9). Still, the set of Nash equilibria is typically larger than (is a proper superset of) the set of backwards-induction solutions. Nash equilibria that are not backwards-induction solutions often involve incredible threats.

To see this, consider the following game. The industry is currently a monopoly, and the incumbent monopolist is making a profit of \$5 million. A potential entrant is considering whether or not to enter this industry. - If she does not enter, she will make \$1 million in an alternative investment. If she does enter, then the incumbent can either fight entry with a price war whose outcome is that both firms make zero profits or accommodate entry by sharing the market with the entrant, in which case both firms make a profit of \$2 million. This situation is illustrated in Figure 3.10 with the associated strategic form. We assume that each player is selfish and greedy; that is, it cares only about its profit and prefers more money to less. The backwards-induction solution is (in, accommodate), and it is also a Nash equilibrium. However, there is another Nash equilibrium, namely (out, fight). The latter should be discarded as a “rational solution” because it involves an incredible threat on the incumbent part, namely that it will fight entry if the potential entrant enters. - It is true that if the potential entrant believes the incumbent’s threat, then she is better off staying out. However, she should ignore the incumbent’s threat because she should realize that – when faced with the fait accompli of entry – the incumbent would not want to carry out the threat.

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Lesson Posted on 26/12/2020 CBSE/Class 10/Mathematics/UNIT II: Algebra CBSE/Class 10/Mathematics

I started teaching in 2011 while pursuing a B.tech computer science course. Being hard-working and curious,...

In this video, we'll study "The Completing the Square Method"
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Lesson Posted on 21/09/2020

Girish Waikar

I can teach each and every topics very easily and make it stronger for the students.

Triangle is a simple closed figure made up of three line segments. Let three non-colinear points A, B and C, On joining them, we get a triangle. Classification of triangle Based on sides scalene triangle all sides unequal isosceles triangle two sides equal equilateral triangle all sides are... read more

Triangle is a simple closed figure made up of three line segments. Let three non-colinear points A, B and C, On joining them, we get a triangle.

Classification of triangle

Based on sides

1. scalene triangle
all sides unequal
2. isosceles triangle two sides equal

equilateral triangle all sides are equal

based on angle

1. acute-angled: all angles are acute < 90
2. right angle triangle: one angle is 90
3. obtuse-angled triangle: one angle is obtuse.
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Lesson Posted on 14/08/2020 CBSE/Class 10/Mathematics

Sameer Khan

I am a electrical engineer, I am giving home/online tuition since 2017 , I have degree in electrical...

We try to understand what the physical meaning of trigonometry is? Trigonometry is nothing, but it is the relationship between the sides and angles of a right-angle triangle. For example - In a right angle triangle ABC, where <B=90° and AC is the hypotenuse then, SIN A = Perpendicular/Hypotenuse SIN... read more

We try to understand what the physical meaning of trigonometry is? Trigonometry is nothing, but it is the relationship between the sides and angles of a right-angle triangle.

For example - In a right angle triangle ABC, where <B=90° and AC is the hypotenuse then,

SIN A = Perpendicular/Hypotenuse

SIN A = BC/AC

Now, take the inverse of both side,

A = 1/SIN (BC/AC)  ..…........(1)

From equation.….(1)  you can see that Angle A of a right angle triangle ABC  is nothing but the sin inverse of its sides.

Note- Perpendicular and Base of a right angle right are not fixed; it changes according to the choice of angle.

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Lesson Posted on 13/08/2020 CBSE/Class 10/Mathematics

Shubham Mishra

I am currently working as a research scholar in IIT kharagpur. I have completed my masters in 2016. I...

We all know the prime numbers. Any number which is only divisible by '1' is called a prime number. Do you know what is coprime? First of all, it is a relative term, i.e. we can't say any number coprime absolutely, but we have to choose at least two numbers, for example, we can say 2 and 3 are coprime... read more

We all know the prime numbers. Any number which is only divisible by '1' is called a prime number.

Do you know what is coprime? First of all, it is a relative term, i.e. we can't say any number coprime absolutely, but we have to choose at least two numbers, for example, we can say 2 and 3 are coprime numbers.

But again, what is coprime numbers? Any two number is called coprime to each other if the number that divides both of them is only '1.'

For example:

• 2 and 4 are not coprime because these numbers are divisible by 1 as well as 2.
• 3 and4 are the coprime number because only 1 can divide both of them.
• All the prime number are coprime to each other.
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Have 4 Year's of Experience in Teaching Math & Physics to class 8 to 12 student's

No, because if you round off to 59.4%, you will get 59%. If it could have been 59.5% or more, then you could have round it off to 60%.
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Kotesh

Tutor

(x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r".
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Answered on 17/11/2020 CBSE Tuition CBSE/Class 10/Mathematics

Ranganath B

15yrs exp. Math, Computers, English & Hindi Trainer. Improvement In Scores Guaranteed.

Simple is the old, known, multiplication - multiply the number by itself.
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Ranganath B

15yrs exp. Math, Computers, English & Hindi Trainer. Improvement In Scores Guaranteed.

350-500 /hour, depending on the distance. wish you goodluck.
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Jeet Mishra

"Ranked 2nd As A Physics and Mathematics Faculty On Urban Pro"

Minimum value is -1 And maximum value is 1
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