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What (who) is truthful - definition
Wikipedia
In game theory, an asymmetric game where players have private information is said to be strategy-proof or strategyproof (SP) if it is a weakly-dominant strategy for every player to reveal his/her private information,: 244 i.e. given no information about what the others do, you fare best or at least not worse by being truthful.
SP is also called truthful or dominant-strategy-incentive-compatible (DSIC),: 415 to distinguish it from other kinds of incentive compatibility.
An SP game is not always immune to collusion, but its robust variants are; with group strategyproofness no group of people can collude to misreport their preferences in a way that makes every member better off, and with strong group strategyproofness no group of people can collude to misreport their preferences in a way that makes at least one member of the group better off without making any of the remaining members worse off.
