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by bo1024 3222 days ago
Yes, but single-peaked preferences are a special case that apply here, and where the median is truthful.

(For those not familiar: single-peaked preferences assumes that the person always prefers the final rating to end up closer to their personal rating. So if I believe the restaurant is 3 stars, I'd most prefer it gets rated actually at 3 stars, and I'd rather see 2 stars than 1 star. If all the raters have single-peaked preferences, then using the median to produce the final rating is truthful: A person can't move the final rating closer to their own belief by lying. The mean is not truthful: If the current average is 4 and my rating is 3, I can pull the average closer to 3 by giving a 1-star review.)