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The notion of distortion in social choice problems has been defined tomeasure the loss in efficiency -- typically measured by the utilitarian socialwelfare, the sum of utilities of the participating agents -- due to havingaccess only to limited information about the preferences of the agents. Wesurvey the most significant results of the literature on distortion from thepast 15 years, and highlight important open problems and the most promisingavenues of ongoing and future work.

Distortion in Social Choice Problems: The First 15 Years and Beyond