Mixing
Mathematical model of the good and bad reputation problem
Clash Royale CLAN TAG#URR8PPP
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I'm considering the following problem: I have a group of people, some of those people are considered good and trustworthy, and some are bad, but we don't know who belongs to which group. I also have a judge, whoes task is two devide those people into two groups - good group and bad group - as good as possible, meaning if we gonna reveal who is really good or bad, the respective people will be in a correct group assigned by the judge. People come in pairs to the judge and express their believe about the other person. For example, A and B come to the judge. The following events might occur:
(1) A says B is good and B says A is good
(2) A says B is bad and B says A is bad.
In the first case, both A and B might either both say true, or both lie. In the second case, only one of them is saying true, whereas the other one lies.
Judge does the following - if A said B is good, he increases the score of B. If A say's that B is bad, the score of B is decreased. Depending on some threshold T value at the end of the experiment, the judge assigns A and B to group 'good' or 'bad'.
I wonder whether there is any mathematical study on similar problem - where I can read how I should score + points, and - points, and what the assignet threshold T should depend on.
If someone can point me to some literature, I would be very grateful!
reference-request
asked Aug 2 at 15:12
SugerBoy
23819
 |Â
show 2 more comments
up vote
0
down vote
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I'm considering the following problem: I have a group of people, some of those people are considered good and trustworthy, and some are bad, but we don't know who belongs to which group. I also have a judge, whoes task is two devide those people into two groups - good group and bad group - as good as possible, meaning if we gonna reveal who is really good or bad, the respective people will be in a correct group assigned by the judge. People come in pairs to the judge and express their believe about the other person. For example, A and B come to the judge. The following events might occur:
(1) A says B is good and B says A is good
(2) A says B is bad and B says A is bad.
In the first case, both A and B might either both say true, or both lie. In the second case, only one of them is saying true, whereas the other one lies.
Judge does the following - if A said B is good, he increases the score of B. If A say's that B is bad, the score of B is decreased. Depending on some threshold T value at the end of the experiment, the judge assigns A and B to group 'good' or 'bad'.
I wonder whether there is any mathematical study on similar problem - where I can read how I should score + points, and - points, and what the assignet threshold T should depend on.
If someone can point me to some literature, I would be very grateful!
reference-request
asked Aug 2 at 15:12
SugerBoy
23819
2
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
2
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37
 |Â
show 2 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm considering the following problem: I have a group of people, some of those people are considered good and trustworthy, and some are bad, but we don't know who belongs to which group. I also have a judge, whoes task is two devide those people into two groups - good group and bad group - as good as possible, meaning if we gonna reveal who is really good or bad, the respective people will be in a correct group assigned by the judge. People come in pairs to the judge and express their believe about the other person. For example, A and B come to the judge. The following events might occur:
(1) A says B is good and B says A is good
(2) A says B is bad and B says A is bad.
In the first case, both A and B might either both say true, or both lie. In the second case, only one of them is saying true, whereas the other one lies.
Judge does the following - if A said B is good, he increases the score of B. If A say's that B is bad, the score of B is decreased. Depending on some threshold T value at the end of the experiment, the judge assigns A and B to group 'good' or 'bad'.
I wonder whether there is any mathematical study on similar problem - where I can read how I should score + points, and - points, and what the assignet threshold T should depend on.
If someone can point me to some literature, I would be very grateful!
reference-request
asked Aug 2 at 15:12
SugerBoy
23819
I'm considering the following problem: I have a group of people, some of those people are considered good and trustworthy, and some are bad, but we don't know who belongs to which group. I also have a judge, whoes task is two devide those people into two groups - good group and bad group - as good as possible, meaning if we gonna reveal who is really good or bad, the respective people will be in a correct group assigned by the judge. People come in pairs to the judge and express their believe about the other person. For example, A and B come to the judge. The following events might occur:
(1) A says B is good and B says A is good
(2) A says B is bad and B says A is bad.
In the first case, both A and B might either both say true, or both lie. In the second case, only one of them is saying true, whereas the other one lies.
Judge does the following - if A said B is good, he increases the score of B. If A say's that B is bad, the score of B is decreased. Depending on some threshold T value at the end of the experiment, the judge assigns A and B to group 'good' or 'bad'.
I wonder whether there is any mathematical study on similar problem - where I can read how I should score + points, and - points, and what the assignet threshold T should depend on.
If someone can point me to some literature, I would be very grateful!
reference-request
asked Aug 2 at 15:12
SugerBoy
23819
asked Aug 2 at 15:12
SugerBoy
23819
asked Aug 2 at 15:12
SugerBoy
23819
asked Aug 2 at 15:12
SugerBoy
23819
23819
2
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
2
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37
 |Â
show 2 more comments
2
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
2
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37
2
2
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
2
2
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37
 |Â
show 2 more comments
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2
This is not a mathematical question. There is no way mathematical way that tells you how you "should" score points and choose a threshold.
– Ethan Bolker
Aug 2 at 15:15
2
It's really ambiguous as well as stated: Do liars only/always lie? Will truthers always describe the other people correctly?
– Sudix
Aug 2 at 15:19
Yes, liers always lie. The honest people are always honest. So if someone is good - he will always claim he is good. If he thinks that other person is bad - he will say it, but if he believes that other person is good, he will say it as well (no false accusation from good people). If someone is bad - he will always claim that he is good, but he might accuse other people of being bad.
– SugerBoy
Aug 2 at 15:23
@SugerBoy Then the only reliably way is using logic. More parameters and your general aim now are most important: Do we know (roughly) how the ratio truther to liar is? Do we want to find (a) single trustworthy person or assess as good as possible who is truther and who liar?
– Sudix
Aug 2 at 15:35
Scratch that, graph theory might work as well
– Sudix
Aug 2 at 15:37