BAGHDAD — The Iraqi Parliament made good on its promise to overhaul the country’s election laws, voting on Tuesday to make sweeping changes in how lawmakers are elected, seemingly in response to demands from protesters to give citizens a greater voice.

The law does away with voting for lists of candidates grouped by party and replaces it with voting for individuals, which would seem to lessen the influence of political parties seen by protesters as corrupt.

But within hours of its passage, criticism began to roll in from legal experts, intellectuals and the Iraqi street suggesting that the law might not work as advertised.

By midnight a banner was flying in Tahrir Square, the epicenter of the protests, saying, “Let them not cheat you: The election law does not represent us.”