# Re-evaluating Evaluation

arXiv: https://arxiv.org/abs/1806.02643 · HTML: https://mlsanity.com/paper/1806.02643/

## Key facts

- Cited by 47 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 7 Jun 2018.

## Built on by (most cited first, 30 of 47)

- [Open-Ended Learning Leads to Generally Capable Agents](https://mlsanity.com/paper/2107.12808/) (2021)
- [Human-Timescale Adaptation in an Open-Ended Task Space](https://mlsanity.com/paper/2301.07608/) (2023)
- [The Benchmark Lottery](https://mlsanity.com/paper/2107.07002/) (2021)
- [Scalable Evaluation of Multi-Agent Reinforcement Learning with Melting Pot](https://mlsanity.com/paper/2107.06857/) (2021)
- [A Sober Look at Progress in Language Model Reasoning: Pitfalls and Paths to Reproducibility](https://mlsanity.com/paper/2504.07086/) (2025)
- [From Motor Control to Team Play in Simulated Humanoid Football](https://mlsanity.com/paper/2105.12196/) (2021)
- [Scaling Scaling Laws with Board Games](https://mlsanity.com/paper/2104.03113/) (2021)
- [Modelling Behavioural Diversity for Learning in Open-Ended Games](https://mlsanity.com/paper/2103.07927/) (2021)
- [Beyond Bradley-Terry Models: A General Preference Model for Language Model Alignment](https://mlsanity.com/paper/2410.02197/) (2024)
- [Diverse Auto-Curriculum is Critical for Successful Real-World Multiagent Learning Systems](https://mlsanity.com/paper/2102.07659/) (2021)
- [On the Limitations of Elo: Real-World Games, are Transitive, not Additive](https://mlsanity.com/paper/2206.12301/) (2022)
- [Pick Your Battles: Interaction Graphs as Population-Level Objectives for Strategic Diversity](https://mlsanity.com/paper/2110.04041/) (2021)
- [Multi-Agent Training beyond Zero-Sum with Correlated Equilibrium Meta-Solvers](https://mlsanity.com/paper/2106.09435/) (2021)
- [Position: Benchmarking is Limited in Reinforcement Learning Research](https://mlsanity.com/paper/2406.16241/) (2024)
- [Evaluating Generalization Capabilities of LLM-Based Agents in Mixed-Motive Scenarios Using Concordia](https://mlsanity.com/paper/2512.03318/) (2025)
- [Measuring the Non-Transitivity in Chess](https://mlsanity.com/paper/2110.11737/) (2021)
- [Policy Space Response Oracles: A Survey](https://mlsanity.com/paper/2403.02227/) (2024)
- [Re-evaluating Open-ended Evaluation of Large Language Models](https://mlsanity.com/paper/2502.20170/) (2025)
- [Combining Tree-Search, Generative Models, and Nash Bargaining Concepts in Game-Theoretic Reinforcement Learning](https://mlsanity.com/paper/2302.00797/) (2023)
- [Position: Embracing Negative Results in Machine Learning](https://mlsanity.com/paper/2406.03980/) (2024)
- [Position: Causal Machine Learning Requires Rigorous Synthetic Experiments for Broader Adoption](https://mlsanity.com/paper/2508.08883/) (2025)
- [Tournament of Prompts: Evolving LLM Instructions Through Structured Debates and Elo Ratings](https://mlsanity.com/paper/2506.00178/) (2025)
- [Estimating α-Rank by Maximizing Information Gain](https://mlsanity.com/paper/2101.09178/) (2021)
- [Co-Learning Empirical Games and World Models](https://mlsanity.com/paper/2305.14223/) (2023)
- [Game Theoretic Rating in N-player general-sum games with Equilibria](https://mlsanity.com/paper/2210.02205/) (2022)
- [Soft Condorcet Optimization for Ranking of General Agents](https://mlsanity.com/paper/2411.00119/) (2024)
- [Learning to Identify Top Elo Ratings: A Dueling Bandits Approach](https://mlsanity.com/paper/2201.04480/) (2022)
- [Developing, Evaluating and Scaling Learning Agents in Multi-Agent Environments](https://mlsanity.com/paper/2209.10958/) (2022)
- [Ordinal Potential-based Player Rating](https://mlsanity.com/paper/2306.05366/) (2023)
- [Is Elo Rating Reliable? A Study Under Model Misspecification](https://mlsanity.com/paper/2502.10985/) (2025)

## Abstract (arXiv)

Progress in machine learning is measured by careful evaluation on problems of outstanding common interest. However, the proliferation of benchmark suites and environments, adversarial attacks, and other complications has diluted the basic evaluation model by overwhelming researchers with choices. Deliberate or accidental cherry picking is increasingly likely, and designing well-balanced evaluation suites requires increasing effort. In this paper we take a step back and propose Nash averaging. The approach builds on a detailed analysis of the algebraic structure of evaluation in two basic scenarios: agent-vs-agent and agent-vs-task. The key strength of Nash averaging is that it automatically adapts to redundancies in evaluation data, so that results are not biased by the incorporation of easy tasks or weak agents. Nash averaging thus encourages maximally inclusive evaluation -- since there is no harm (computational cost aside) from including all available tasks and agents.
