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| """Psychological Need System for EduMirror value-driven agents. |
| |
| Paper grounding (arXiv:2606.07948): |
| - Sec 3.3: "We formalize the Value System as a Psychological Need System |
| comprising five major categories, namely Safety, Mental Health, |
| Self-Esteem, Social Belonging, and Meaning and Growth, with 13 |
| sub-dimensions in total. Each need is represented on a Likert scale |
| ranging from 0 to 10." |
| - Sec 3.3: unmet-need gap Delta_t(d) = clip(v*(d) - v_t(d), 0, S_max) |
| - App E.1 + Table 9: the 13 named sub-dimensions, their associated |
| personality traits, and the degree-adverb -> expected-value mapping |
| (slightly->7.5, moderately->8, quite->8.5, extremely->9). |
| |
| Note on naming: the main text (Sec 3.3) and the appendix (E.1) use slightly |
| different labels for two categories -- main text says "Mental Health" and |
| "Self-Esteem", the appendix says "Psychological Health Needs" and "Esteem". |
| We keep the main-text category names as canonical and record the appendix |
| aliases, since the sub-dimension membership is identical in both. |
| """ |
|
|
| from __future__ import annotations |
|
|
| import random |
| from dataclasses import dataclass, field |
|
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| |
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| |
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| |
| VALUE_MIN, VALUE_MAX = 0.0, 10.0 |
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| |
| S_MAX = 10.0 |
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| |
| |
| DEGREE_TO_EXPECTED = { |
| "slightly": 7.5, |
| "moderately": 8.0, |
| "quite": 8.5, |
| "extremely": 9.0, |
| } |
|
|
| |
| |
| |
| NEED_TAXONOMY: dict[str, list[str]] = { |
| "Safety": [ |
| "psychological safety", |
| "emotional safety", |
| ], |
| "Social Belonging": [ |
| "group acceptance", |
| "support system", |
| "sense of superiority", |
| ], |
| "Self-Esteem": [ |
| "self worth", |
| "sense of respect", |
| ], |
| "Meaning and Growth": [ |
| "sense of meaning", |
| "sense of control", |
| "passion and motivation", |
| ], |
| "Mental Health": [ |
| "emotional stability", |
| "emotional wellbeing", |
| "psychological resilience", |
| ], |
| } |
|
|
| |
| |
| CATEGORY_ALIASES = { |
| "Mental Health": "Psychological Health Needs", |
| "Self-Esteem": "Esteem", |
| } |
|
|
| |
| NEED_TO_TRAIT: dict[str, str] = { |
| "psychological safety": "Timid", |
| "emotional safety": "Emotionally Sensitive", |
| "group acceptance": "Sociable", |
| "support system": "Dependent", |
| "sense of superiority": "Competitive", |
| "self worth": "Reputation-conscious", |
| "sense of respect": "Ego-driven", |
| "sense of meaning": "Spiritual", |
| "sense of control": "Possessive", |
| "passion and motivation": "Passionate", |
| "emotional stability": "Emotionally Stable", |
| "emotional wellbeing": "Hedonistic", |
| "psychological resilience": "Resilient", |
| } |
|
|
| |
| ALL_NEEDS: list[str] = [d for dims in NEED_TAXONOMY.values() for d in dims] |
|
|
| |
| NEED_TO_CATEGORY: dict[str, str] = { |
| d: cat for cat, dims in NEED_TAXONOMY.items() for d in dims |
| } |
|
|
|
|
| def qualitative_description(value: float) -> str: |
| """ |
| Convert a raw 0-10 need score into a natural-language band label. |
| |
| Args: |
| value: The current need score on the 0-10 Likert scale. |
| |
| Returns: |
| A short adjective phrase describing the satisfaction level. |
| |
| Why: |
| Appendix E.1 is explicit that "large language models struggle to |
| interpret raw numerical values", so EduMirror runs a "qualitative |
| description" step that textualizes v_t before handing it to the |
| planner. Reproducing that step matters: feeding bare numbers into the |
| prompt would be a different (and per the paper, worse) architecture. |
| The band edges are our choice -- the paper describes the mechanism but |
| does not publish its thresholds. |
| """ |
| if value < 2.0: |
| return "severely unmet" |
| if value < 4.0: |
| return "largely unmet" |
| if value < 6.0: |
| return "partially met" |
| if value < 8.0: |
| return "mostly met" |
| return "fully satisfied" |
|
|
|
|
| @dataclass |
| class NeedState: |
| """ |
| The evolving psychological need state of a single EduMirror agent. |
| |
| Attributes: |
| current: Sub-dimension -> current value v_t(d), on [0, 10]. |
| expected: Sub-dimension -> expected value v*(d), on [7.5, 9.0]. |
| traits: The sampled "<degree> <trait>" phrases describing this agent, |
| e.g. "extremely Timid". Used to build the persona prompt. |
| |
| Why: |
| The paper separates *current* from *expected* per dimension so that the |
| unmet-need gap (the planner's objective) is personality-relative rather |
| than absolute: two agents at the same v_t feel different degrees of |
| deprivation if their v* differ. Collapsing these into one number would |
| destroy the trait-sensitivity the paper's Figure 5 depends on. |
| """ |
|
|
| current: dict[str, float] |
| expected: dict[str, float] |
| traits: dict[str, str] = field(default_factory=dict) |
|
|
| def gap(self, dim: str) -> float: |
| """ |
| Unmet-need gap for one dimension: Delta_t(d) = clip(v*(d) - v_t(d), 0, S_max). |
| |
| Args: |
| dim: Sub-dimension name (must be one of ALL_NEEDS). |
| |
| Returns: |
| Non-negative gap in [0, S_MAX]. Zero when the need is at or above |
| its expectation. |
| |
| Why: |
| This is Eq. (unnumbered) in Sec 3.3 verbatim. Clipping at 0 encodes |
| "a need that is over-satisfied creates no drive" -- an agent whose |
| safety exceeds its expectation is not motivated to seek more safety. |
| """ |
| raw = self.expected[dim] - self.current[dim] |
| return min(max(raw, 0.0), S_MAX) |
|
|
| def gaps(self) -> dict[str, float]: |
| """ |
| Unmet-need gaps across all 13 dimensions. |
| |
| Args: |
| None. |
| |
| Returns: |
| Sub-dimension -> gap, for every dimension in ALL_NEEDS. |
| |
| Why: |
| The planner and the Social Value System both consume the full gap |
| vector (Delta_t), so materializing it once keeps them consistent. |
| """ |
| return {d: self.gap(d) for d in ALL_NEEDS} |
|
|
| def category_means(self) -> dict[str, float]: |
| """ |
| Mean current value per major category. |
| |
| Args: |
| None. |
| |
| Returns: |
| Category name -> mean of its sub-dimensions' current values. |
| |
| Why: |
| Figures 5 and 6 of the paper plot psychological dynamics at the |
| 5-category level, not the 13-dimension level, so the reproduction |
| needs this aggregation to produce comparable plots. |
| """ |
| return { |
| cat: sum(self.current[d] for d in dims) / len(dims) |
| for cat, dims in NEED_TAXONOMY.items() |
| } |
|
|
| def describe(self) -> str: |
| """ |
| Render the full need state as the textual block shown to the planner. |
| |
| Args: |
| None. |
| |
| Returns: |
| A multi-line string, one line per category, listing each |
| sub-dimension's qualitative band and its unmet gap. |
| |
| Why: |
| Implements the Appendix E.1 "qualitative description" process that |
| precedes every planning step. Grouping by category keeps the prompt |
| compact and mirrors how the paper describes the taxonomy. |
| """ |
| lines = [] |
| for cat, dims in NEED_TAXONOMY.items(): |
| parts = [] |
| for d in dims: |
| band = qualitative_description(self.current[d]) |
| gap = self.gap(d) |
| |
| |
| parts.append(f"{d}: {band} (unmet gap {gap:.1f})") |
| lines.append(f"- {cat}: " + "; ".join(parts)) |
| return "\n".join(lines) |
|
|
| def apply_deltas(self, deltas: dict[str, float]) -> None: |
| """ |
| Update current need values in place, clamped to the Likert range. |
| |
| Args: |
| deltas: Sub-dimension -> signed change to apply. Unknown keys are |
| ignored so a noisy LLM update cannot inject new dimensions. |
| |
| Returns: |
| None. Mutates `self.current`. |
| |
| Why: |
| Appendix E.1's update step integrates (a_t, o_t, v_{t-1}, d_{t-1}) |
| into v_t. We let the LLM propose per-dimension deltas rather than |
| absolute values, because deltas keep the update anchored to the |
| previous state and make a malformed response degrade gracefully |
| (a missing dimension simply does not move) instead of resetting the |
| agent's history. |
| """ |
| for dim, delta in deltas.items(): |
| if dim not in self.current: |
| continue |
| self.current[dim] = min(max(self.current[dim] + delta, VALUE_MIN), VALUE_MAX) |
|
|
|
|
| def init_need_state(rng: random.Random) -> NeedState: |
| """ |
| Initialize an agent's need state by sampling traits and values, per Appendix E.1. |
| |
| Args: |
| rng: Seeded RNG. Passed in (not module-global) so a whole simulation is |
| reproducible from a single seed. |
| |
| Returns: |
| A NeedState with expected values in [7.5, 9.0] derived from sampled |
| degree adverbs, and current values sampled uniformly from [0, 10]. |
| |
| Why: |
| The paper: "At initialization, adjectives and degree adverbs are |
| randomly selected to establish these personal expected values, while |
| the initial current scores v_0 are randomly sampled within [0, 10]." |
| The wide v_0 range is deliberate -- it is what produces the |
| "higher initial values enhance resilience, lower values increase |
| volatility" contrast the paper reports in Figure 5. |
| """ |
| expected: dict[str, float] = {} |
| current: dict[str, float] = {} |
| traits: dict[str, str] = {} |
| for dim in ALL_NEEDS: |
| degree = rng.choice(list(DEGREE_TO_EXPECTED)) |
| expected[dim] = DEGREE_TO_EXPECTED[degree] |
| current[dim] = rng.uniform(VALUE_MIN, VALUE_MAX) |
| traits[dim] = f"{degree} {NEED_TO_TRAIT[dim]}" |
| return NeedState(current=current, expected=expected, traits=traits) |
|
|
|
|
| def init_need_state_from_profile( |
| rng: random.Random, |
| degree_by_need: dict[str, str] | None = None, |
| baseline_current: float | None = None, |
| ) -> NeedState: |
| """ |
| Initialize a need state with explicit control over traits and starting values. |
| |
| Args: |
| rng: Seeded RNG, used for any dimension not pinned by `degree_by_need`. |
| degree_by_need: Optional sub-dimension -> degree adverb (one of |
| DEGREE_TO_EXPECTED). Dimensions left out are sampled randomly. |
| baseline_current: If given, every current value starts here instead of |
| being sampled from [0, 10]. |
| |
| Returns: |
| A configured NeedState. |
| |
| Why: |
| Two experiments need determinism that `init_need_state` cannot give. |
| Case Study 1 contrasts "high initial state" vs "low initial state" |
| victims (Figure 5), which requires pinning v_0. The intervention |
| experiments (Figure 6) require "20 bullying scenarios with identical |
| initial settings", which requires pinning both v_0 and v*. This is the |
| seam that makes those controlled comparisons possible. |
| """ |
| state = init_need_state(rng) |
| if degree_by_need: |
| for dim, degree in degree_by_need.items(): |
| if dim in state.expected: |
| state.expected[dim] = DEGREE_TO_EXPECTED[degree] |
| state.traits[dim] = f"{degree} {NEED_TO_TRAIT[dim]}" |
| if baseline_current is not None: |
| for dim in state.current: |
| state.current[dim] = baseline_current |
| return state |
|
|