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Math exploration - Probability help


Rockinswap

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Hello everyone,

 

Im doing my SL math exploration on the Prisoners Dillema. https://en.wikipedia.org/wiki/Prisoner%27s_dilemma

 

In it, i want to figure out the conditional probability of choosing the most optimal decision for both the prisoners, and the probability of choosing the worst decision, but am having some trouble in doing so. Can anyone help? 

 

prisonersdilemma.jpg

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Hello everyone,

 

Im doing my SL math exploration on the Prisoners Dillema. https://en.wikipedia.org/wiki/Prisoner%27s_dilemma

 

In it, i want to figure out the conditional probability of choosing the most optimal decision for both the prisoners, and the probability of choosing the worst decision, but am having some trouble in doing so. Can anyone help? 

 

prisonersdilemma.jpg

Hello!

 

Personally, I think that you would be better off with not doing an exploration on this topic. It sounds too easy and simple, especially for a person who's doing Math SL. The fact that you're doing the exploration in probability is good, so try and find something a bit more complex, that will actually be more for you to talk about. 

 

To do this, I think that you should go over the probability chapter in your IB book, just to understand probability as a whole. Next, I highly suggest that you find a dilemma that is more complex than this, or if you still want to do your exploration on the prisoner's dilemma, try to modify it so that there are 4 or 5 prisoners rather than just two. I found this video that might help you, so check it out: 

 

Hope this helps,

-theswizzlerbruh

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Hello everyone,

 

Im doing my SL math exploration on the Prisoners Dillema. https://en.wikipedia.org/wiki/Prisoner%27s_dilemma

 

In it, i want to figure out the conditional probability of choosing the most optimal decision for both the prisoners, and the probability of choosing the worst decision, but am having some trouble in doing so. Can anyone help? 

 

prisonersdilemma.jpg

Hello!

 

Personally, I think that you would be better off with not doing an exploration on this topic. It sounds too easy and simple, especially for a person who's doing Math SL. The fact that you're doing the exploration in probability is good, so try and find something a bit more complex, that will actually be more for you to talk about. 

 

To do this, I think that you should go over the probability chapter in your IB book, just to understand probability as a whole. Next, I highly suggest that you find a dilemma that is more complex than this, or if you still want to do your exploration on the prisoner's dilemma, try to modify it so that there are 4 or 5 prisoners rather than just two. I found this video that might help you, so check it out: 

 

Hope this helps,

-theswizzlerbruh

 

Hello and thank you for the quick reply, 

I had already been informed about the issue of this being very simple and thats why my exploration is actually based on "the practice of probability in economics - the game theory". I talk about how probability is used in the business world to make decisions and was actually using the non-zero-sum example of Prisoners dilemma to illustrate two companies and the possible decisions they can make, and how it would affect each other. Should have cleared that up before sorry.

The idea of incorporating more "decision-makers" does actually sound easier when working out the probability. But do you have any idea how I can show that? Because the prisoner's dilemma model won't work any longer. 

 

Thanks! 

 

No Problem!

 

I guess that you could set up a hypothetical situation in which you have a lot of decision makers, and then work out the probability and such. However, I can't really help you out by showing you a way of doing this, because the IB rules state that you're supposed to do that yourself :P. If I do help you, the IB will interpret it as plagiarism in your part, and will punish me as well for helping you. Maybe if you talk to your teacher more about this, he could help you!

 

hope this helps,

-theswizzlerbruh 

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Oh yea

 

 

 

 

Hello everyone,

 

Im doing my SL math exploration on the Prisoners Dillema. https://en.wikipedia.org/wiki/Prisoner%27s_dilemma

 

In it, i want to figure out the conditional probability of choosing the most optimal decision for both the prisoners, and the probability of choosing the worst decision, but am having some trouble in doing so. Can anyone help? 

 

prisonersdilemma.jpg

Hello!

 

Personally, I think that you would be better off with not doing an exploration on this topic. It sounds too easy and simple, especially for a person who's doing Math SL. The fact that you're doing the exploration in probability is good, so try and find something a bit more complex, that will actually be more for you to talk about. 

 

To do this, I think that you should go over the probability chapter in your IB book, just to understand probability as a whole. Next, I highly suggest that you find a dilemma that is more complex than this, or if you still want to do your exploration on the prisoner's dilemma, try to modify it so that there are 4 or 5 prisoners rather than just two. I found this video that might help you, so check it out: 

 

Hope this helps,

-theswizzlerbruh

 

Hello and thank you for the quick reply, 

I had already been informed about the issue of this being very simple and thats why my exploration is actually based on "the practice of probability in economics - the game theory". I talk about how probability is used in the business world to make decisions and was actually using the non-zero-sum example of Prisoners dilemma to illustrate two companies and the possible decisions they can make, and how it would affect each other. Should have cleared that up before sorry.

The idea of incorporating more "decision-makers" does actually sound easier when working out the probability. But do you have any idea how I can show that? Because the prisoner's dilemma model won't work any longer. 

 

Thanks! 

 

No Problem!

 

I guess that you could set up a hypothetical situation in which you have a lot of decision makers, and then work out the probability and such. However, I can't really help you out by showing you a way of doing this, because the IB rules state that you're supposed to do that yourself :P. If I do help you, the IB will interpret it as plagiarism in your part, and will punish me as well for helping you. Maybe if you talk to your teacher more about this, he could help you!

 

hope this helps,

-theswizzlerbruh 

 

Oh yea ofcourse! Do not want that at all! haha thanks for your help anyways!  

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Hi I also decided to write my exploration on the prisoner's dilemma but like you I found out it wasn't enough therefore what I did was explore the link with Nash equilibriums, I think you should do the same good luck.

Thats actually a really good idea! Thank you so much! 

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