Fair Like Us? Auditing LLM Alignment in Resource Allocation
Organizations: Rutgers University · Pennsylvania State University · Independent Researcher · Binghamton University
Abstract
Fair allocation of scarce, indivisible resources is an important challenge in many societal problems. While there are several formal theories of fairness, no single definition can always be satisfied. As large language models (LLMs) are increasingly used to support decisions and act as agents, they raise new concerns about distributional justice: their judgments are not directly tied to any specific fairness framework and may violate key normative principles. In this work, we introduce a general method for evaluating fairness reasoning in LLMs. We study first-person fairness judgments across a broad set of models and compare them directly with human responses on matched scenarios and elicitation conditions. We find that LLMs tend to prefer stricter fairness constraints than humans, show more self-interested behavior, are sensitive to how information is framed, and are difficult to align with human judgments using fine-tuning with current datasets.
Figures & tables
| Dimension | Variation | Description of what the participant sees | T1 | T2 | T3 | T4 | T5 |
| Bundle Information | Personal | All items in their own bundle. Remaining items are shown as a single “other” bundle (how they are split among other agents is hidden). | ✓ | ||||
| Full | Every agent’s bundle. | ✓ | ✓ | ✓ | ✓ | ||
| Value Information | Private | Their own value for every item in the instance, and their additive value for each visible bundle. | ✓ | ✓ | ✓ | ||
| Public | Private information, plus each other agent’s (i) additive value for their own bundle, (ii) additive value for the participant’s bundle. | ✓ | ✓ | ||||
| Question Framing | Threshold-based | “Do you find your share acceptable?” (Yes = judged fair / acceptable). | ✓ | ✓ | ✓ | ||
| Comparison-based | “Would you like to keep the treasure assigned to you or swap with one of the other pirates?” (No swap = judged fair / acceptable). | ✓ | ✓ |
| Model | [95% CI] | [95% CI] |
| Phi-4-14B | 67.40 [65.0, 69.7] | 81.87 [79.8, 83.7] |
| Gemma-3-27B | 55.67 [53.1, 58.2] | 68.20 [65.8, 70.5] |
| Gemini-2.5-F | 62.27 [59.8, 64.7] | 73.47 [71.2, 75.6] |
| DeepSeek-70B | 62.80 [60.3, 65.2] | 81.67 [79.6, 83.5] |
| DeepSeek-R1 ∗ | 55.13 [52.6, 57.6] | 60.00 [57.5, 62.5] |
| Gemini-2.5-P ∗ | 60.20 [57.7, 62.7] | 69.27 [66.9, 71.6] |
| Bundle Info. | Value Info. | Question Framing | ||||||
| Model | Personal | Full | Private | Public | Threshold | Comparison | ||
| Humans | 80 | 86 | 58 ∗ | 47 | 73 ∗ | 31 | ||
| Phi-4-14B | 36 | 69 ∗ | 50 ∗ | 39 | 63 ∗ | 26 | ||
| Gemma-3-27B | 4 | 43 ∗ | 38 | 33 | 42 ∗ | 28 | ||
| Gemini-2.5-F | 33 | 45 ∗ | 40 ∗ | 29 | 43 ∗ | 27 | ||
| DeepSeek-70B | 77 | 73 | 55 ∗ | 40 | 58 ∗ | 36 | ||
Appendix figures & tables19 assets
Supplementary material from the paper’s appendix.
Appendix
| Model | EF | PROP | MMS | PROP1 | EF1 |
| Humans | 80.83 | 66.33 | 46.00 | 48.00 | 39.17 |
| Phi-4-14B | 97.08 | 64.00 | 19.33 | 21.33 | 21.67 |
| Gemma-3-27B | 74.17 | 40.67 | 12.33 | 15.33 | 19.58 |
| Gemini-2.5-F | 94.17 | 55.33 | 7.00 | 8.67 | 14.58 |
| DeepSeek-70B | 81.67 | 58.33 | 42.00 | 42.00 | 34.17 |
| DeepSeek-R1 | 93.75 | 52.67 | 10.00 | 11.67 | 12.08 |
| Model | Selfish | Pareto | Selfless |
| Humans | 71.66 | 47.50 | 17.07 |
| Phi-4-14B | 99.47 | 85.00 | 0.00 |
| Gemma-3-27B | 67.38 | 80.00 | 2.44 |
| Gemini-2.5-F | 97.33 | 82.50 | 0.00 |
| DeepSeek-70B | 79.14 | 85.00 | 0.00 |
| DeepSeek-R1 | 34.76 | 85.00 | 0.00 |
| Model | Notion | Pirate (Treasure) | Pirate (Reward) | Burglar (Treasure) | Sibling (Treasure) | Sibling (Reward) | Competitor (Reward) | Person (Reward) | Refugee (Disaster) |
| Phi-4-14B | LARGE | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.95 |
| SMALL | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
| PROP | 1.00 | 0.97 | 0.98 | 1.00 | 1.00 | 1.00 | 1.00 | 0.27 | |
| PROP1 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.07 | 0.03 | 0.00 | |
| MMS | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.05 | 0.03 | 0.02 | |
| Gemma-3-27B | LARGE | 0.95 | 1.00 | 0.90 | 0.92 | 1.00 | 1.00 | 1.00 | 0.97 |
| Model | Notion | Pirate (Treasure) | Pirate (Reward) | Burglar (Treasure) | Sibling (Treasure) | Sibling (Reward) | Competitor (Reward) | Person (Reward) | Refugee (Disaster) |
| Phi-4-14B | EF | 0.97 | 0.94 | 0.99 | 0.98 | 0.98 | 0.91 | 0.96 | 0.84 |
| PROP | 0.56 | 0.49 | 0.63 | 0.61 | 0.50 | 0.44 | 0.45 | 0.39 | |
| EF1 | 0.21 | 0.16 | 0.28 | 0.25 | 0.19 | 0.13 | 0.13 | 0.12 | |
| PROP1 | 0.25 | 0.24 | 0.31 | 0.34 | 0.20 | 0.16 | 0.16 | 0.14 | |
| MMS | 0.23 | 0.18 | 0.31 | 0.33 | 0.21 | 0.13 | 0.14 | 0.14 | |
| Gemma-3-27B | EF | 0.75 | 0.52 | 0.49 | 0.54 | 0.60 | 0.51 | 0.53 | 0.62 |
| Model | Notion | Baseline | Generous | Selfish |
| Phi-4-14B | LARGE | 1.00 | 1.00 | 0.90 |
| SMALL | 0.00 | 0.07 | 0.00 | |
| PROP | 1.00 | 1.00 | 0.03 | |
| PROP1 | 0.03 | 0.25 | 0.00 | |
| MMS | 0.03 | 0.25 | 0.00 | |
| Gemma-3-27B | LARGE | 1.00 | 0.98 | 0.98 |
| Model | Notion | Baseline | Generous | Selfish |
| Phi-4-14B | EF | 0.96 | 0.93 | 0.87 |
| PROP | 0.45 | 0.44 | 0.32 | |
| EF1 | 0.13 | 0.18 | 0.03 | |
| PROP1 | 0.16 | 0.22 | 0.04 | |
| MMS | 0.14 | 0.20 | 0.04 | |
| Gemma-3-27B | EF | 0.53 | 0.56 | 0.78 |
| Model | EF | PROP | MMS | PROP1 | EF1 |
| Humans | 80.83 [75.4, 85.3] | 66.33 [60.8, 71.4] | 46.00 [40.4, 51.7] | 48.00 [42.4, 53.6] | 39.17 [33.2, 45.5] |
| Phi-4-14B | 97.08 [94.1, 98.6] | 64.00 [58.4, 69.2] | 19.33 [15.3, 24.2] | 21.33 [17.1, 26.3] | 21.67 [16.9, 27.3] |
| Gemma-3-27B | 74.17 [68.3, 79.3] | 40.67 [35.3, 46.3] | 12.33 [9.1, 16.5] | 15.33 [11.7, 19.8] | 19.58 [15.1, 25.1] |
| Gemini-2.5-F | 94.17 [90.4, 96.5] | 55.33 [49.7, 60.9] | 7.00 [4.6, 10.5] | 8.67 [6.0, 12.4] | 14.58 [10.7, 19.6] |
| DeepSeek-70B | 81.67 [76.3, 86.1] | 58.33 [52.7, 63.8] | 42.00 [36.6, 47.7] | 42.00 [36.6, 47.7] | 34.17 [28.5, 40.4] |
| DeepSeek-R1 | 95.00 [91.5, 97.1] | 53.33 [47.7, 58.9] | 11.00 [7.9, 15.0] | 12.67 [9.4, 16.9] | 12.08 [8.5, 16.8] |
| Field | Agreement | Cohen’s |
| Attributed fairness criterion | 77.5% | 0.70 |
| Criterion matches allocation | 87.6% | 0.71 |
| Model | Stage | T1 | T2 | T3 | T4 | T5 | Combined |
| Gemma-3-27B | Before | 32.8 | 79.5 | 70.1 | 37.7 | 58.2 | 55.65 |
| After | 70.5 | 79.5 | 16.41 | 64.2 | 17.9 | 49.70 | |
| Phi-4-14B | Before | 55.7 | 27.4 | 80.6 | 5.66 | 60.71 | 46.01 |
| After | 78.7 | 79.5 | 88.1 | 64.2 | 53.6 | 72.82 | |
| Baseline | 88.5 | 84.9 | 88.1 | 79.2 | 66.1 | 81.36 |
LLM Alignment
Large language model alignment studies methods for making models follow human intentions, values, and safety constraints across contexts.
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