Rare, Relevant, and Still Wrong: How Memory Fails LLM Group Decisions
Organizations: School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC) · Xidian University · Nanjing University of Aeronautics and Astronautics · School of Artificial Intelligence, Nanjing University of Information Science and Technology
Abstract
When an LLM group's discussion is compressed into a short memory for a final decision maker, what should the memory keep? Two natural heuristics keep the rarest claims or the claims relevant to the decision criteria. On hidden-profile tasks both look attractive, because how widely a fact is held is confounded with whether it helps. We introduce CrossProfile, a diagnostic benchmark of 60 templates with automatically verified answer keys, in which the ownership of supporting, decoy, and irrelevant facts is crossed while their text is held fixed (480 tasks). Across Qwen2.5-7B, Llama-3.1-8B, and two DeepSeek models, both heuristics fail in predictable places. Selecting by relevance readmits decoys, because decoys are on topic: even a perfect relevance filter loses 23 to 31 points to rarest-first selection in the classic hidden-profile configuration. Rarest-first selection is no better than random selection on average and wins only where the rare facts happen to be the useful ones. In both cases accuracy follows the balance of evidence the memory keeps, not the policy that kept it. The decision model adds a third failure, a form of social proof: it gives extra weight to facts attributed to many agents. Removing the attribution tags, or reassigning them at random with line order fixed, raises accuracy in the classic configuration by 13 to 24 points. In natural discussions the evidence is lost before any memory acts: the complete transcript yields lower accuracy than no notes at all.
Figures & tables
| Policy | Acc. | Private | Shared | Gap | Tokens |
| Qwen2.5-7B-Instruct | |||||
| B3 | 51.3 | – | – | – | 108 |
| B4 | 22.1 | 26.3 | 85.8 | 59.5 | 136 |
| R1 | 88.2 | 98.3 | 12.0 | 139 | |
| Random | 42.1 | 52.2 | 58.4 | 6.2 | 136 |
| Llama-3.1-8B-Instruct | |||||
| Memory | Qwen | Llama |
|---|---|---|
| Evidence summary (B3) | 72.0 | 58.7 |
| First mention (B4) | 61.0 | 61.5 |
| Random | 64.5 | 63.4 |
| Rarest first (R1) | 64.0 | 63.0 |
| Relevance first (R1-rel) | 72.6 | 74.6 |
| All facts (unbudgeted) | 73.1 | 72.6 |
| Model | Vote | REF | Empty | All | Discl. |
|---|---|---|---|---|---|
| Qwen | 23.6 | 22.1 | 33.8 | 70.3 | 0.0 † |
| Llama | 31.8 | 33.8 | 36.9 | 61.5 | 2.4 † |
| Flash | 24.6 | 25.6 | 35.9 | 89.7 | 1.7 |
Appendix figures & tables20 assets
Supplementary material from the paper’s appendix.
Appendix
| ID | Role | Fact text |
|---|---|---|
| f01 | decoy | Hallum Diagnostics has passed every electrical safety inspection on its scanners. |
| f02 | support | Hallum Diagnostics took nine days to answer urgent repair callouts last year. |
| f03 | support | Ostrava Clinical passed every leakage test on its scanners during the last audit. |
| f04 | support | Ostrava Clinical engineers reach any ward within four hours for repairs. |
| f05 | irrelevant | Hallum Diagnostics has run an apprenticeship scheme for local school leavers since 2015. |
| f06 | irrelevant | Ostrava Clinical’s headquarters was flooded in a burst pipe incident in 2019. |
| Model / ratio | H1 | H2 | H3 | H3, shared irrelevant |
|---|---|---|---|---|
| Qwen / .4 | [60.1, 70.1] | [9.7, 16.5] | [16.0, 25.8] | [3.9, 12.2] |
| Qwen / .6 | [60.3, 69.0] | [1.2, 8.9] | [3.5, 13.6] | [4.6, 12.8] |
| Qwen / .8 | [30.3, 40.4] | [ , 5.7] | [ , 6.9] | [ , 6.4] |
| Llama / .4 | [62.6, 72.1] | [2.4, 10.4] | [11.2, 19.4] | [9.0, 16.0] |
| Llama / .6 | [56.8, 68.2] | [ , 10.0] | [11.1, 19.9] | [4.2, 11.2] |
| Llama / .8 | [24.7, 34.2] | [ , 2.4] | [0.3, 7.4] | [0.1, 6.4] |
| Qwen | Llama | |||||
| Policy | ||||||
| B3 | 68.9 | 72.0 | 72.6 | 52.8 | 58.7 | 60.6 |
| B4 | 51.5 | 61.0 | 68.0 | 50.5 | 61.5 | 70.9 |
| Random | 57.8 | 64.5 | 71.6 | 55.1 | 63.4 | 70.6 |
| R1 | 54.6 | 64.0 | 71.9 | 53.6 | 63.0 | 72.6 |
| R1-rel | 69.0 | 72.6 | 74.7 | 67.5 | 74.6 | 76.0 |
| S / D / I | R1 | R1-rel | B4 | Random |
|---|---|---|---|---|
| sh / sh / sh | 67.2 [60.0, 74.4] | 75.6 [68.9, 81.7] | 67.2 [60.0, 74.4] | 60.0 [52.2, 67.8] |
| sh / sh / pr | 58.3 [50.6, 66.1] | 68.9 [60.6, 76.7] | 66.1 [57.8, 74.4] | 62.2 [54.4, 69.4] |
| sh / pr / sh | 35.0 [28.3, 41.7] | 73.3 [66.1, 80.0] | 92.2 [88.3, 96.1] | 72.2 [64.4, 79.4] |
| sh / pr / pr | 22.2 [14.4, 30.6] | 67.2 [60.6, 73.9] | 96.1 [92.8, 98.9] | 76.1 [68.9, 83.3] |
| pr / sh / sh | 92.2 [87.8, 96.1] | 75.0 [68.3, 81.7] | 13.9 [8.3, 20.0] | 58.9 [51.7, 66.1] |
| pr / sh / pr | 96.7 [93.3, 99.4] | 74.4 [67.8, 80.6] | 26.1 [19.4, 33.3] | 53.9 [46.1, 61.7] |
| S / D / I | B3 | All facts |
|---|---|---|
| sh / sh / sh | 72.2 [65.0, 79.4] | 78.9 [71.7, 85.6] |
| sh / sh / pr | 81.7 [76.1, 87.2] | 75.0 [68.3, 81.7] |
| sh / pr / sh | 86.1 [79.4, 91.7] | 89.4 [83.9, 94.4] |
| sh / pr / pr | 91.1 [86.7, 95.0] | 91.1 [86.1, 95.6] |
| pr / sh / sh | 46.7 [40.0, 53.9] | 51.1 [42.2, 60.0] |
| pr / sh / pr | 56.1 [47.2, 65.0] | 54.4 [46.1, 62.8] |
| S / D / I | R1 | R1-rel | B4 | Random |
|---|---|---|---|---|
| sh / sh / sh | 63.9 [56.1, 71.7] | 72.8 [66.7, 78.9] | 62.8 [55.0, 70.6] | 58.3 [50.0, 66.1] |
| sh / sh / pr | 53.3 [45.0, 61.1] | 75.6 [69.4, 81.7] | 68.9 [61.7, 76.1] | 59.4 [52.8, 66.1] |
| sh / pr / sh | 40.0 [31.7, 48.9] | 73.9 [67.2, 80.6] | 91.7 [87.2, 95.6] | 69.4 [61.7, 77.2] |
| sh / pr / pr | 18.3 [12.2, 24.4] | 78.3 [71.7, 84.4] | 95.6 [92.2, 98.3] | 72.2 [65.0, 79.4] |
| pr / sh / sh | 90.0 [85.0, 94.4] | 72.8 [65.0, 80.0] | 10.6 [6.1, 15.0] | 57.8 [49.4, 65.6] |
| pr / sh / pr | 97.2 [93.9, 99.4] | 77.2 [70.0, 83.9] | 31.1 [23.9, 38.3] | 62.2 [54.4, 70.0] |
| S / D / I | B3 | All facts |
|---|---|---|
| sh / sh / sh | 63.3 [55.6, 70.6] | 72.2 [64.4, 80.0] |
| sh / sh / pr | 65.0 [56.7, 73.3] | 75.6 [67.8, 83.3] |
| sh / pr / sh | 71.1 [64.4, 77.8] | 85.0 [77.8, 91.7] |
| sh / pr / pr | 71.1 [62.2, 79.4] | 85.0 [78.9, 90.6] |
| pr / sh / sh | 38.3 [31.1, 45.6] | 58.9 [50.0, 67.8] |
| pr / sh / pr | 50.6 [43.3, 58.3] | 55.6 [47.2, 63.3] |
| Contrast | Qwen | Llama |
|---|---|---|
| H1 with Random as reference | [34.6, 47.1] | [27.8, 41.0] |
| H1 with seven retained items | [61.9, 71.7] | [67.2, 78.1] |
| Oracle relevance R1, classic cell | [ , ] | [ , ] |
| Tagged untagged support gap, all facts | [8.1, 19.3] | [1.0, 11.2] |
| Tagged shuffled-tag support gap, all facts | [1.9, 11.1] | [2.2, 12.6] |
| Untagged tagged, classic cell, all facts | [7.8, 21.1] | [6.7, 20.0] |
| Policy | N1 | N2 | N3 | N4 | N5 |
|---|---|---|---|---|---|
| B3 | [ , 4.1] | [ , 6.7] | [ , 9.6] | – | – |
| B4 | [ , 5.1] | [ , 8.2] | [ , 3.1] | [ , 2.9] | 0.0 [ , 1.9] |
| R1 | [ , 2.7] | [ , 6.3] | [ , 7.9] | [ , 4.4] | [ , 2.4] |
| REF | [ , 6.7] | [ , 8.2] | [ , 13.8] | – | – |
| Policy | N1 | N2 | N3 | N4 | N5 |
|---|---|---|---|---|---|
| B3 | [ , 7.3] | [ , 11.5] | [14.2, 27.7] | – | – |
| B4 | [ , 10.9] | [ , 13.2] | [ , ] | [ , 2.4] | [ , 2.2] |
| R1 | [ , 11.1] | [ , 10.8] | [20.2, 35.7] | [ , 2.7] | 0.0 [ , 1.9] |
| REF | [ , 7.2] | [ , 6.7] | [21.5, 39.5] | – | – |
| Qwen | Llama | |||
|---|---|---|---|---|
| Arm | Accuracy | vs. A0 | Accuracy | vs. A0 |
| A0: original | 30.3 [22.6, 37.9] | – | 30.8 [23.1, 39.0] | – |
| A1: evidence first, no recommendation | 28.2 [21.5, 35.4] | [ , 5.6] | 59.0 [50.8, 67.7] | [17.9, 39.0] |
| A2: evidence first | 35.9 [28.2, 43.6] | [ , 12.3] | 55.9 [48.2, 63.6] | [15.9, 34.4] |
| A3: no recommendation | 22.6 [15.9, 29.7] | [ , 0.0] | 40.5 [33.3, 47.7] | [0.5, 18.5] |
| A4: neutral length request | 31.3 [23.6, 39.5] | [ , 6.7] | 38.5 [31.8, 45.6] | [ , 16.9] |
| Model | Condition / contrast | Effect [95% CI] | Holm |
|---|---|---|---|
| Qwen | Headroom: all facts empty | [25.1, 47.2] | – |
| Qwen | Controlled, known: R1 B3 | [22.9, 35.4] | |
| Qwen | Controlled, known: R1 B4 | [49.4, 61.4] | |
| Qwen | Controlled, known: M1 B4 | [ , ] | .008 |
| Qwen | Controlled, extracted: R1 B3 | [18.8, 32.6] | |
| Qwen | Controlled, extracted: R1 B4 | [47.5, 58.6] |
| Comparison | Qwen | Llama |
|---|---|---|
| Controlled: R1 B3 | [22.9, 35.4] | [20.2, 33.2] |
| Controlled: R1 at B3 length B3 | [17.6, 33.7] | [19.1, 32.5] |
| Natural: R1 B3 | [ , 2.4] | [ , 2.7] |
| Model / policy | Tokens / budget (%) | 95% CI |
|---|---|---|
| Qwen / R1 | 95.0 | [94.8, 95.3] |
| Qwen / R1-rel | 95.7 | [95.5, 95.8] |
| Qwen / B4 | 95.8 | [95.7, 96.0] |
| Qwen / Random | 95.6 | [95.5, 95.8] |
| Qwen / B3 | 79.3 | [77.8, 80.8] |
| Llama / R1 | 95.1 | [94.9, 95.4] |
| Run | Contrast | Effect [95% CI] | Templates / tasks |
|---|---|---|---|
| DeepSeek-V4.1-Flash, CrossProfile | H1 | [56.7, 68.6] | 60 |
| DeepSeek-V4.1-Flash, CrossProfile | H2 | [7.5, 15.6] | 60 |
| DeepSeek-V4.1-Flash, CrossProfile | H3 | [12.8, 20.7] | 60 |
| DeepSeek-V4.1-Flash, CrossProfile | H3, shared irrelevant | [3.2, 10.4] | 60 |
| DeepSeek-V4.1-Flash, CrossProfile | H1 with Random as reference | [22.1, 34.7] | 60 |
| DeepSeek-V4.1-Flash, CrossProfile | R1-rel R1, classic cell | [ , ] | 60 |
| Run | Valid | Invalid |
|---|---|---|
| DeepSeek-V4.1-Flash, CrossProfile | 8,466 | 174 |
| DeepSeek-V4.1-Flash, additional controls | 4,184 | 136 |
| DeepSeek-V4.1-Flash, natural | 564 | 21 |
| DeepSeek-V4-Pro, CrossProfile subset | 2,880 | 0 |
LLM Decision-Making
LLM decision-making studies how language models choose, act, seek information, and allocate resources under goals, uncertainty, constraints, and social pressures.
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