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When aggregating preferences of agents via voting, two desirable goals are toincentivize agents to participate in the voting process and then identifyoutcomes that are Pareto efficient. We consider participation as formalized byBrandl, Brandt, and Hofbauer (2015) based on the stochastic dominance (SD)relation. We formulate a new rule called RMEC (Rank Maximal Equal Contribution)that satisfies the strongest notion of participation and is also ex postefficient. The rule is polynomial-time computable and also satisfies many otherdesirable fairness properties. The rule suggests a general approach toachieving ex post efficiency and very strong participation.

Rank Maximal Equal Contribution: a Probabilistic Social Choice Function