---
title: "Every Bit Helps: Achieving the Optimal Distortion with a Few Queries (Extended Abstract)"
authors:
  - "Soroush Ebadian"
  - "Nisarg Shah"
doi: "10.24963/ijcai.2026/924"
url: "https://ijcai.org/proceedings/2026/924"
pdf: "https://ijcai.org/proceedings/2026/0924.pdf"
venue: "Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence"
year: 2026
pages: "8266-8271"
track: "Sister Conferences Best Papers"
keywords:
  - "Agent-based and Multi-agent Systems: Agent theories and models"
  - "Game Theory and Economic Paradigms: Computational social choice"
  - "AI: Game Theory and Economic Paradigms"
---

# Every Bit Helps: Achieving the Optimal Distortion with a Few Queries (Extended Abstract)

Soroush Ebadian, Nisarg Shah

*Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence*, pages 8266-8271. DOI: [10.24963/ijcai.2026/924](https://doi.org/10.24963/ijcai.2026/924)

## Abstract

A fundamental task in multi-agent systems is to match n agents to n alternatives (e.g., resources or tasks). This is often done by eliciting agents' ordinal rankings over the alternatives rather than their exact numerical utilities. While this simplifies elicitation, the incomplete information leads to inefficiency, captured by a worst-case measure called distortion. Recent work shows that making just a few cardinal utility queries per agent can significantly improve the distortion, and in particular that O(√n) distortion is achievable with two queries per agent. We generalize this result by achieving O(n^(1/λ)) distortion with λ queries per agent, for any constant λ, which is optimal up to a constant factor given a previously known lower bound. We extend this finding to the general social choice problem of selecting one of m alternatives based on n agents' preferences, achieving O(min(n, m)^(1/λ)) distortion with λ queries per agent.