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Maskin monotonicity is a desired property ofvoting systems suggested byEric Maskin.^[1]

Each voter reports his entirepreference relation over the set of alternatives. The set of reports is called apreference profile. Asocial choice rule maps the preference profile to the selected alternative.

For a preference profile${\displaystyle P_1}$ with a chosen alternative${\displaystyle A_1}$, there is another preference profile${\displaystyle P_2}$ such that the position of${\displaystyle A_1}$ relative to each of the other alternatives either improves or stays the same as in${\displaystyle P_1}$. With Maskin monotonicity,${\displaystyle A_1}$ should still be chosen at${\displaystyle P_2}$.^[2]

Maskin monotonicity is a necessary condition for implementability inNash equilibrium. Moreover, any social choice rule that satisfies Maskin monotonicity and another property called "no veto power" can be implemented in Nash equilibrium form if there are three or more voters.^[1]

• Monotonicity (mechanism design)
• Themonotonicity criterion in voting systems

• Mechanism design
• Voting

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