Maskin monotonicity is a desired property of
voting system
An electoral or voting system is a set of rules used to determine the results of an election. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, nonprofit organizations and inf ...
s suggested by
Eric Maskin
Eric Stark Maskin (born December 12, 1950) is an American economist and mathematician. He was jointly awarded the 2007 Nobel Memorial Prize in Economic Sciences with Leonid Hurwicz and Roger Myerson "for having laid the foundations of mechanism d ...
.
Each voter reports his entire
preference relation over the set of alternatives. The set of reports is called a ''preference profile''. A ''social choice rule'' maps the preference profile to the selected alternative.
For a preference profile
with a chosen alternative
, there is another preference profile
such that the position of
relative to each of the other alternatives either improves or stays the same as in
. With Maskin monotonicity,
should still be chosen at
.
Maskin monotonicity is a necessary condition for implementability in
Nash equilibrium
In game theory, the Nash equilibrium is the most commonly used solution concept for non-cooperative games. A Nash equilibrium is a situation where no player could gain by changing their own strategy (holding all other players' strategies fixed) ...
. 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.
See also
*
Monotonicity (mechanism design) In mechanism design, monotonicity is a property of a social choice function. It is a necessary condition for being able to implement such a function using a strategyproof mechanism. Its verbal description is:
In other words:
Notation
There i ...
* The
monotonicity criterion
Electoral system criteria
In social choice, the negative response, perversity, or additional support paradox is a pathological behavior of some voting rules where a candidate loses as a result of having too much support (or wins because of in ...
in voting systems
References
{{reflist
Mechanism design
Voting