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Agent-Specific Effects: A Causal Effect Propagation Analysis in Multi-Agent MDPs

ICML 2024 · Multi-agent systems and games › Games and equilibria · approach: Strategic classification

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Introduces agent-specific effects (ASE) and counterfactual ASE (cf-ASE) for multi-agent MDPs, gives identifiability under noise monotonicity, a sampling-based estimator, and evaluates on Graph and Sepsis simulators.

Problem

Quantifying how much of an agent's action's causal/counterfactual effect on an outcome propagates through other agents' responses in multi-agent sequential decision-making (e.g., AI-clinician sepsis treatment), where existing path-specific effects cannot express this.

Approach

Defines agent-specific effects as a three-world natural-intervention quantity in which an selected set of effect agents respond to the intervened action while non-effect agents keep factual actions; shows cf-ASE is identifiable under a weak noise monotonicity assumption (not requiring bijective models), and gives an abduction-action-prediction sampling estimator.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase clinician trust in the AI (μ)Sepsis clinician-specific effect measured by cf-ASE · Sepsisclinician-specific effectHurt
Increase clinician trust in the AI (μ)Sepsis AI-specific effect measured by cf-ASE · SepsisAI-specific effectHelped
Increase clinician trust in the AI (μ)Sepsis clinician-specific effect measured by cf-PSE · Sepsisclinician-specific effectNo clear effect
Use cf-PSE instead of cf-ASE to measure clinician-specific effectsSepsis · Sepsisclinician-specific effectMixed
Use cf-PSE instead of cf-ASE to measure AI-specific effectsSepsis · Sepsis, μ = 0AI-specific effectHurt
Estimate agent policies with small errors (εmax ≤ 0.05)cf-ASE estimation · Graphaverage absolute estimation errorNo clear effect
Use an incorrect total ordering instead of the correct orderingcf-ASE estimation · Graphaverage absolute estimation errorHurt
Assume the reverse of the correct total orderingcf-ASE estimation · Graphaverage absolute estimation errorNo clear effect
Increase clinician trust in the AI (μ)Sepsis clinician-specific cf-ASE action distribution · Sepsisfraction of actions with clinician-specific effect > 0.75Hurt
Increase clinician trust in the AI (μ)Sepsis clinician-specific cf-ASE action distribution · Sepsisfraction of actions with clinician-specific effect < 0.25Helped
Increase clinician trust in the AI (μ)Sepsis AI-specific cf-ASE action distribution · Sepsisfraction of actions with AI-specific effect > 0.75Helped
Increase clinician trust in the AI (μ)Sepsis AI-specific cf-ASE action distribution · Sepsisfraction of actions with AI-specific effect < 0.25Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Graph environment (6 agents) Sepsis simulator

Benchmarks: Graph Sepsis

Metrics: average absolute error of cf-ASE average cf-ASE value distribution of cf-ASE values

Baselines: total counterfactual effect (TCFE) counterfactual path-specific effect (cf-PSE)

Builds on: path-specific effects structural causal models counterfactual stability Policy Iteration

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