Scoring rule based Peer Prediction Consider three experts who received the following signals and have the following posterior (i.e. conditional) probabilities about the signals of a peer agent. expert signal P(0) P(1) a1 0 0.7 0.3 a2 1 0.4 0.6 a3 0 0.7 0.3 Give each expert's score being matched each of the other two experts as well as their subjective expected score for scoring rules based peer prediction using the log score. That is, calculate the expert's expected score with respect to the expert's posterior belief about other experts she may be matched with.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Scoring rule based Peer Prediction
Consider three experts who received the following signals and have the following posterior (i.e.
conditional) probabilities about the signals of a peer agent.
expert signal P(0) P(1)
a1
0
0.7 0.3
a2
1
0.4
0.6
a3
0
0.7
0.3
Give each expert's score being matched each of the other two experts as well as their subjective
expected score for scoring rules based peer prediction using the log score. That is, calculate the
expert's expected score with respect to the expert's posterior belief about other experts she may
be matched with.
Transcribed Image Text:Scoring rule based Peer Prediction Consider three experts who received the following signals and have the following posterior (i.e. conditional) probabilities about the signals of a peer agent. expert signal P(0) P(1) a1 0 0.7 0.3 a2 1 0.4 0.6 a3 0 0.7 0.3 Give each expert's score being matched each of the other two experts as well as their subjective expected score for scoring rules based peer prediction using the log score. That is, calculate the expert's expected score with respect to the expert's posterior belief about other experts she may be matched with.
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