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taurus [48]
3 years ago
14

in any strategic-form game, if a player has a dominant strategy, then all of the other strategies of that player are dominated (

true or false )(Explain your answer)
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

Dominant strategy is an in game theory that refers to the optimal option for a player among all the competitive strategies, <em>no matter how that player's opponents may play</em><em>.</em><em> </em>

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Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
Can someone please help me I really need help please help me thank you
just olya [345]

Answer:

1800 or D.

Step-by-step explanation:

Ill post a link an article that can help you master this, I found it very useful. Tell me if you need help after reading it

3 0
3 years ago
Read 2 more answers
If you get a 3.1% raise and make 8 dollars an hour now, how much were you getting paid before
Nimfa-mama [501]

Answer:

$7.76 per hour.

Step-by-step explanation:

Multiply 8 by 3.1%, or .031. Subtract that total from the amount currently being paid. Voila!

6 0
3 years ago
Hey can you please help me posted picture of the question
Andrews [41]
If we observe the graph it crosses x-axis at the following points:
1) x = - 2
2) x = - 5

This means, x+ 2 and x + 5 are the factors of the polynomial. A polynomial can be expressed as the product of its factors. So we can express the given polynomial as (x + 2)(x + 5)

Thus the answer to above question is option C
4 0
3 years ago
QUESTION 1 of 10: Generally, parties of 8 or more require many restaurants to include gratuity of 18% on the check before presen
katen-ka-za [31]
Answer: D) 49.86

276.99 x .18 (or 18%) = 49.8582
6 0
3 years ago
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