Available but Unclaimed: An Empirical Study of Human-AI Synergy
Organizations: Aalto University, Espoo, Finland · University of Innsbruck, Innsbruck, Austria · Humboldt-Universität zu Berlin, Berlin, Germany · Ludwig-Maximilians-Universität München, Munich, Germany
Abstract
People increasingly reason with large language models (LLMs), yet complementary capabilities do not guarantee outperforming both components. In a between-subjects study, participants (N=535) solved a 40-item battery of matrix reasoning, mental rotation, syllogisms, and letter-string analogies, unaided or with GPT-5.6-Luna, Claude Opus 4.8, Gemini 3.6 Flash, or Kimi K3. Each assisted trial required consultation with the model. Each model answered every item alone 100 times under matched elicitation. The assisted-unaided accuracy difference increased with item-level LLM competence. Deference varied across tasks and increased with competence within tasks. Post-advice confidence distinguished correct from incorrect answers less strongly than unaided confidence. In a reference comparison, about half the increase in LLM accuracy carried through to assisted accuracy. How much of that accuracy gain reached participants differed across the models. These findings motivate evaluating LLMs in interaction with humans and designing support for selective deference that preserves independent reasoning.
Figures & tables
| Task type | Difficulty mix | Response format | |
|---|---|---|---|
| Matrix reasoning | 10 | 2 medium, 4 hard, 4 expert | Multiple choice, 8 options |
| Mental rotation | 10 | 2 medium, 4 hard, 4 expert | Multiple choice, 2 options |
| Syllogistic reasoning | 10 | 1 easy, 4 medium, 5 hard a | Multiple choice, 3 options |
| Letter-string analogies | 10 | 3 hard, 4 expert, 3 combination | Free text entry |
| Realized synergy | Synergy capture | Excess co-failure | ||||
|---|---|---|---|---|---|---|
| Task | Est. | 95% HDI | Est. | 95% HDI | Est. | 95% HDI |
| Mental rotation | [ , .027] | .071 | [ , .547] | .062 | [.035, .090] | |
| Matrices | .015 | [ , .078] | .643 | [.383, .888] | .074 | [.046, .101] |
| Letter strings | [ , ] | .484 | [.293, .689] | .013 | [ , .041] | |
| Syllogisms | [ , ] | .820 | [.641, .997] | [ , .023] | ||
| Quantity | Estimate [95% HDI] |
|---|---|
| The effect function | |
| Effect at mean competence | .200 [.112, .277] |
| Slope on competence | .401 [.193, .612] |
| Effect where the assistant always fails | [ , ] |
| Zero crossing | .238 [ , .527] |
| Effect within competence band | |
| Task | Trials | Advice correct | Deference | Overreliance | Discrim. |
|---|---|---|---|---|---|
| Syllogisms | 3,402 | .969 | .947 | .851 | .100 |
| Letter strings | 3,384 | .846 | .751 | .482 | .319 |
| Mental rotation | 3,335 | .652 | .902 | .806 | .154 |
| Matrices | 3,425 | .577 | .867 | .775 | .161 |
| All tasks | 13,546 | .751 | .859 | .743 | .165 |
| Widest intervals are on advice accuracy in matrices and mental rotation ( ), | |||||
| Assistant | LLM alone | Team | Realized synergy | Pass-through | |
|---|---|---|---|---|---|
| gemini-3.6-flash | 52 | .761 [.674, .845] | .781 [.720, .841] | [ , ] | 2.81 [2.37, 3.25] |
| claude-opus-4-8 | 61 | .735 [.653, .816] | .733 [.673, .791] | [ , ] | 2.21 [1.80, 2.61] |
| kimi-k3 | 56 | .730 [.648, .812] | .691 [.631, .750] | [ , ] | 1.39 [.89, 1.88] |
| gpt-5.6-luna (low) | 179 | .713 [.627, .796] | .711 [.651, .770] | [ , ] | 2.76 [2.39, 3.14] |
| unaided | 187 | — | .528 [.474, .583] | — | — |
| pooled | 348 | .735 [.633, .834] | .728 [.622, .828] | [ , ] | 2.46 [2.18, 2.75] |
| Group | Confidence gap | Drop vs. unaided |
|---|---|---|
| unaided | [.092, .112] | — |
| gpt-5.6-luna (low) | [.051, .073] | [ , ] |
| claude-opus-4-8 | [.037, .075] | [ , ] |
| gemini-3.6-flash | [.037, .080] | [ , ] |
| kimi-k3 | [.035, .072] | [ , ] |
| Panel A. Who declines wrong advice (log-odds per ) | ||
|---|---|---|
| Predictor | Overreliance | Discrimination |
| Metacognitive discrimination ( ), | [ , ] | [ , .117] |
| Own-answer accuracy, | [ , ] | [1.559, 1.889] |
| Own-answer accuracy, disjoint trials, | [ , ] | — |
Appendix figures & tables5 assets
Supplementary material from the paper’s appendix.
Appendix
| Level | Attributes varying | Relations drawn from | Additional constraint |
|---|---|---|---|
| easy | 2 | classic only | none |
| medium | 3 | classic only | none |
| hard | 4 | all four | at least one distribute-three |
| expert | 4 a | all four | at least two distribute-three |
| Level | Angular disparity | Rotation axis (depth condition) |
|---|---|---|
| easy | world | |
| medium | world | |
| hard | world | |
| expert | world |
| Tier | Mental models | Mean estimated human accuracy |
|---|---|---|
| easy | 1 | |
| medium | 2 | |
| hard | 3 |
| Level | Alphabet | Step | Base length a | Grouping | Axes active |
|---|---|---|---|---|---|
| medium (baseline) | -letter | 1 | 5 | no | 0 |
| hard | -symbol | 2 | 5 | no | 1 |
| expert | -letter b | 2 | 9 | yes | 3 |
| combination | mixed c | 2 | 5 | yes | 3 c |
| Group | Age | Men | Women | Other | Bachelor+ | Weekly+ | Daily | OpenAI pref. | |
|---|---|---|---|---|---|---|---|---|---|
| unaided | 187 | 36.8 (10.9) | 53 | 47 | 1 | 73 | 77 | 37 | 55 |
| gpt-5.6-luna | 179 | 34.3 (10.8) | 54 | 45 | 1 | 68 | 84 | 47 | 56 |
| claude-opus-4-8 | 61 | 37.7 (10.8) | 52 | 48 | 0 | 77 | 85 | 54 | 56 |
| gemini-3.6-flash | 52 | 33.0 (10.0) | 33 | 67 | 0 | 71 | 79 | 42 | 67 |
| kimi-k3 | 56 | 32.3 (10.4) | 45 | 52 | 4 | 71 | 79 | 43 | 50 |