Decision Aggregation under Quantal Response

ICLR 2026 Conference SubmissionAnonymous Authors
aggregationquantal responsebounded rationalitylarge language models
Abstract:

The effectiveness of collective decision-making is often challenged by the bounded rationality and inherent stochasticity of individual agents. We investigate this by analyzing how to aggregate decisions from nn experts, each receiving a private signal about an unknown state. Assuming signals are conditionally independent and identically distributed, we depart from the fully rational paradigm and model expert behavior using quantal response—a stochastic choice model capturing bounded rationality. Within a minimax regret framework, we show that majority voting is the optimal robust aggregator when individual rationality falls below a certain threshold. Interestingly, such groups can outperform perfectly rational agents, as their decision randomness encodes weak but informative signals lost in deterministic behavior. We validate these findings using large language models (LLMs), which naturally exhibit quantal response via their temperature parameter. Aggregating moderately stochastic LLM outputs significantly improves accuracy on complex reasoning tasks, highlighting bounded rationality not as a limitation, but as a potential strength in collective intelligence.

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Overview

Overall Novelty Assessment

The paper investigates optimal decision aggregation from boundedly rational experts modeled via quantal response, proving that majority voting is minimax-optimal below a rationality threshold and demonstrating that stochastic groups can outperform deterministic agents. It resides in the Human-Machine Decision Systems leaf, which contains only two papers total (including this one), making it a relatively sparse research direction within the broader taxonomy. This leaf sits under Applied Domains and Real-World Systems, distinguishing it from the more crowded theoretical branches (e.g., Quantal Response Equilibrium Theory with four papers) and experimental validation clusters (e.g., Voting and Collective Choice Experiments with four papers).

The taxonomy reveals neighboring work in several directions. Theoretical Foundations houses core QRE models and heterogeneous-agent frameworks (three papers in Heterogeneous Agent Models), while Experimental Studies contains voting experiments and behavioral validation studies. The paper's focus on aggregation under bounded rationality connects it to Heterogeneous Agents Aggregation and Statistical Inference methods, yet diverges by emphasizing human-machine systems and LLM applications rather than pure game-theoretic equilibria or laboratory experiments. The scope notes clarify that this leaf excludes purely human experimental studies, positioning the work at the intersection of bounded rationality theory and AI-assisted decision systems.

Among the 23 candidates examined across three contributions, none were identified as clearly refuting the paper's claims. The first contribution (optimal robust aggregator) examined three candidates with zero refutations, suggesting limited prior work on minimax-optimal aggregation under quantal response. The second contribution (bounded rationality advantage) examined ten candidates without refutation, indicating that the counterintuitive finding—that stochastic agents can outperform rational ones—may be novel within this search scope. The third contribution (dimension reduction for quantal response structures) similarly examined ten candidates with no refutations, though the limited search scale means potentially relevant work in information theory or mechanism design may exist outside the top-23 semantic matches.

Based on the top-23 semantic search results and taxonomy structure, the work appears to occupy a relatively unexplored niche combining bounded rationality theory with LLM-based aggregation. The sparse Human-Machine Decision Systems leaf and absence of refuting candidates suggest novelty, though the analysis does not cover exhaustive literature in adjacent fields like machine learning ensembles or information aggregation theory. The findings may represent a fresh synthesis of existing concepts rather than entirely new primitives, but the limited search scope prevents definitive conclusions about incremental versus transformative contributions.

Taxonomy

Core-task Taxonomy Papers
34
3
Claimed Contributions
23
Contribution Candidate Papers Compared
0
Refutable Paper

Research Landscape Overview

Core task: decision aggregation under bounded rationality with quantal response. This field examines how groups of imperfectly rational agents combine their choices or information, recognizing that decision-makers do not always select optimal actions but instead respond probabilistically to incentives—a phenomenon captured by quantal response models. The taxonomy reflects a mature research landscape organized into four main branches. Theoretical Foundations and Equilibrium Concepts develop the mathematical underpinnings, including quantal response equilibrium (QRE) frameworks such as McKelvey QRE[25] and extensions to heterogeneous agents (Heterogeneous Agents QRE[24], Heterogeneous Agents Aggregation[3]). Experimental Studies and Behavioral Validation test these models against human behavior, exploring phenomena like stake size effects and homogeneity bias. Applied Domains and Real-World Systems translate theory into practical settings—ranging from political decision-making (Agricultural Policy Votes[31], EU Policy Making[23]) to infrastructure security (Power System Defense[16], Intrusion Detection WSNs[19]) and demand response systems (Electric Demand Response[18]). Specialized Decision-Making Frameworks address niche contexts such as jury rules, contests, and coordination games. Several active lines of work reveal key trade-offs and open questions. One strand focuses on enriching the behavioral realism of aggregation models, incorporating ambiguity aversion (Ambiguity Quantal Response[1]), divergence-based regularization (Divergence Regularized Aggregation[2]), or fuzzy preferences (Fuzzy Preference Relations[5]) to capture richer forms of bounded rationality. Another explores how network structure and information acquisition shape collective outcomes (Network Structure Coordination[14], Endogenous Information Acquisition[15]). The original paper, Quantal Response Aggregation[0], sits within the Human-Machine Decision Systems cluster of Applied Domains, alongside Bounded Rationality[11]. Its emphasis on aggregating decisions from boundedly rational agents positions it close to works like Heterogeneous Agents Aggregation[3] and Behavioral Game Theory[4], but with a distinctive focus on human-machine interaction contexts where imperfect rationality must be explicitly modeled for effective system design.

Claimed Contributions

Optimal robust aggregator under bounded rationality

The authors establish that majority voting is the minimax optimal aggregation rule when experts exhibit bounded rationality (modeled via quantal response) below a group-size-dependent threshold. This result applies to conditionally independent and identically distributed signal structures.

3 retrieved papers
Bounded rationality advantage in collective decision-making

The authors demonstrate that groups of boundedly rational experts can outperform perfectly rational experts when decisions are aggregated. This counterintuitive finding shows that decision randomness from bounded rationality encodes weak but informative signals that are lost in deterministic behavior.

10 retrieved papers
Dimension reduction for quantal response report structures

The authors prove a geometric result showing that any report structure arising from conditionally independent signals and quantal response can be represented using only three posterior beliefs. This significantly reduces the analytical complexity of the robust aggregation problem.

10 retrieved papers

Core Task Comparisons

Comparisons with papers in the same taxonomy category

Contribution Analysis

Detailed comparisons for each claimed contribution

Contribution

Optimal robust aggregator under bounded rationality

The authors establish that majority voting is the minimax optimal aggregation rule when experts exhibit bounded rationality (modeled via quantal response) below a group-size-dependent threshold. This result applies to conditionally independent and identically distributed signal structures.

Contribution

Bounded rationality advantage in collective decision-making

The authors demonstrate that groups of boundedly rational experts can outperform perfectly rational experts when decisions are aggregated. This counterintuitive finding shows that decision randomness from bounded rationality encodes weak but informative signals that are lost in deterministic behavior.

Contribution

Dimension reduction for quantal response report structures

The authors prove a geometric result showing that any report structure arising from conditionally independent signals and quantal response can be represented using only three posterior beliefs. This significantly reduces the analytical complexity of the robust aggregation problem.

Decision Aggregation under Quantal Response | Novelty Validation