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What is a stable solution and what is dominance?

A stable solution is where neither player should move from their playsafe strategy, as it will only cause a decrease in profit. Dominance is where one strategy is in every way better than another strategy
JS
Answered by Joe S. • Maths tutor
8053 Views

Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6 Factorise the quadratic: (4x + 3)(x - 2) x = -0.75 x= 2 Now substitute these values into one of the equations (or both, just to double-che...
DA
Answered by Damilola A. • Maths tutor
10619 Views

How do we differentiate y=a^x when 'a' is an non zero real number

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(a x ) ln(y)=x(ln(a)) using our rules of logsFrom here we differentiate. The differential...
MJ
Answered by Marcus J. • Maths tutor
8458 Views

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x 2 +8x+(m-7)=0From here we can see it takes the form ax 2 +bx+c, and as we know the...
MJ
Answered by Marcus J. • Maths tutor
5383 Views

Find the sum and product of the roots of the equation 2x^2+3x-5=0

We know that for equation ax^2+bx+c=0 a = 2,b = 3,c = -5 If the roots x1 and x2 are real numbers: x1 + x2 = -b/a = -3/2 x1*x2 = c/a = -5/2
PG
Answered by Pavel G. • Maths tutor
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