Soft Tournament Equilibrium: Differentiable Set-Valued Inference for Non-Transitive Pairwise Comparisons

arXiv:2604.04328 · cs.AI, cs.LG, cs.MA · Submitted 2026-04-06 · Read on arXiv

cs.AI, cs.LG, cs.MA

Submitted: 2026-04-06

Updated: 2026-10-07

Comments: Expanded empirical evaluation with native count/posterior controls and complete supporting proofs; disclosed and excluded an invalid secondary mixture decoder diagnostic

Code: https://github.com/alqithami/STE

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Core — 3× in this paper · explained in 2 episodes
• Soft Tournament Equilibrium — 2× in this paper
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Pairwise Comparisons — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 17 episodes

Sources

• Collecting, Classifying, Analyzing, and Using Real-World Elections

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