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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

Agnishom
2013-07-20 02:05:37

Thanks big_smile

bobbym
2013-07-20 01:33:32

Hi Agnishom;

Very good!

Agnishom
2013-07-19 22:40:23

Have a look at https://brilliant.org/competitions/hung … ing/#mixed
The probability that Pete choses C is 0.3 while the probabiity that Pete choses D is 0.7
Since, Sue is indifferent between c and d, his expected payoffs must be equal.

0.3(6+2A) +0.7(0+A) = 0.3(12+A) + 0.7(3)

Solving yields, A = 3.9

Thats all, guys!

Agnishom
2013-07-19 01:07:47

Sue and Pete are playing Prisoner's Dilemma with the payoffs from the table below. If both of them cooperate, each will get a bonus of 2A (the public good), if only one cooperates, each will get A, and if no one cooperates there is no bonus. Sue calculated that Pete will cooperate with probability p=0.3. What should be the value of the award A so that Sue is indifferent between cooperating and defecting?
https://brilliant1.r.worldssl.net/user_media/solvable/images/PD_1.png

Source:https://brilliant.org/i/zS7vun/
Suggested Guide:https://brilliant.org/competitions/hung … /training/

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