An agent is said to be partially honest if he or she weakly prefers an outcome at a strategy profile with his truthful strategy than an outcome at a strategy profile with his false strategy, then this player must prefer strictly the \true" strategy profille to the \false" strategy profile. In...

Abstract: In this paper we explore the problem of Nash implementation providing new sufficient conditions called I-monotonicity and I-weak no-veto power. Firstly, we show that these conditions together with unanimity are sufficient for the implementation of social choice correspondences (SCCs)...