What Do Agents Think One Another Want? Level-2 Inverse Games for Inferring Agents' Estimates of Others' Objectives

This paper proposes a novel level-2 inverse game framework that infers agents' estimates of each other's objectives to address the limitations of traditional level-1 methods in decentralized scenarios, demonstrating through theory and experiments that accounting for these mutual misalignments is crucial for accurately predicting strategic interactions.

Hamzah I. Khan, Jingqi Li, David Fridovich-KeilThu, 12 Ma💻 cs

Instant Runoff Voting on Graphs: Exclusion Zones and Distortion

This paper investigates Instant Runoff Voting (IRV) on unweighted graphs by characterizing exclusion zones and distortion, demonstrating that while testing and finding minimum exclusion zones are computationally hard in general graphs, they become polynomial-time solvable on trees through a novel dynamic programming approach, while also establishing hardness for broader classes of rank-based elimination rules.

Georgios Birmpas, Georgios Chionas, Efthyvoulos Drousiotis, Soodeh Habibi, Marios Mavronicolas, Paul SpirakisThu, 12 Ma💻 cs

Code-Space Response Oracles: Generating Interpretable Multi-Agent Policies with Large Language Models

This paper introduces Code-Space Response Oracles (CSRO), a novel framework that replaces black-box deep reinforcement learning oracles with Large Language Models to generate human-readable, interpretable multi-agent policies as code, achieving competitive performance while enabling the discovery of complex, explainable strategies.

Daniel Hennes, Zun Li, John Schultz, Marc LanctotThu, 12 Ma🤖 cs.AI

Quantal Response Equilibrium as a Measure of Strategic Sophistication: Theory and Validation for LLM Evaluation

This paper introduces a game-theoretic evaluation framework using quantal response equilibrium to measure the strategic sophistication of large language models by deriving closed-form equilibria, estimating continuous rationality parameters calibrated against human data, and validating the approach across thousands of games to reveal both model capabilities and significant sensitivities to prompt framing.

Mateo Pechon-Elkins, Jon ChunThu, 12 Ma💻 cs

Sequential Causal Normal Form Games: Theory, Computation, and Strategic Signaling

This paper extends Causal Normal Form Games to sequential settings by introducing Sequential Causal Multi-Agent Systems, but its comprehensive theoretical and empirical analysis reveals that, under standard rational assumptions, these causal frameworks offer no welfare advantage over classical Stackelberg equilibrium, thereby highlighting a fundamental incompatibility between rational choice and causal reasoning benefits in current game-theoretic models.

Dennis ThummThu, 12 Ma📊 stat

Test-then-Punish: A Statistical Approach to Repeated Games

This paper proposes a "Test-then-Punish" framework that sustains cooperation in discounted infinitely repeated games with imperfect monitoring by embedding statistical hypothesis testing into strategic behavior, allowing players to detect deviations and enforce a Folk theorem-type result through either anytime valid sequential tests or batch-based testing.

Aymeric Capitaine, Antoine Scheid, Etienne Boursier, Alain Durmus, Michael I. JordanMon, 09 Ma💻 cs