From 96cb7c8d19494849e45ceb1d8b9cc1bc66eedf86 Mon Sep 17 00:00:00 2001 From: hillelohayon Date: Wed, 6 May 2026 21:27:26 +0300 Subject: [PATCH 1/2] Add coalition_formation: AI-Generated Compromises for Coalition Formation --- pref_voting/coalition_formation.py | 457 +++++++++++++++++++++++++++++ tests/test_coalition_formation.py | 307 +++++++++++++++++++ 2 files changed, 764 insertions(+) create mode 100644 pref_voting/coalition_formation.py create mode 100644 tests/test_coalition_formation.py diff --git a/pref_voting/coalition_formation.py b/pref_voting/coalition_formation.py new file mode 100644 index 0000000..9a2a2d3 --- /dev/null +++ b/pref_voting/coalition_formation.py @@ -0,0 +1,457 @@ +""" +An implementation of the algorithm in: +"AI-Generated Compromises for Coalition Formation", by Eyal Briman, Ehud Shapiro, and Nimrod Talmon (2024), https://arxiv.org/abs/2410.21440 + +Programmer: Hillel Ohayon. +Date: 2025-04-04. +""" + +from __future__ import annotations +import json +import logging +import math +import random +from dataclasses import dataclass +from functools import lru_cache +from typing import Optional + +import numpy as np + +logger = logging.getLogger(__name__) + +_st_model = None +_ST_MODEL_NAME = "paraphrase-multilingual-MiniLM-L12-v2" +_EMBED_DIM = 512 + + +def _get_st_model(): + """Load the sentence-transformer model (cached after first call).""" + global _st_model + if _st_model is None: + from sentence_transformers import SentenceTransformer + logger.info("Loading sentence-transformer model '%s'…", _ST_MODEL_NAME) + _st_model = SentenceTransformer(_ST_MODEL_NAME) + return _st_model + + +@dataclass +class _Coalition: + agents: set[int] + sentence: str + embedding: np.ndarray + + +# --------------------------------------------------------------------------- +# Public API +# --------------------------------------------------------------------------- + +@lru_cache(maxsize=1024) +def embed_text(text: str) -> np.ndarray: + """Embed a sentence into a 512-dimensional semantic vector (Section 4.1). + + Args: + text (str): A natural-language sentence. + + Returns: + np.ndarray: A 512-element float array. + + >>> v = embed_text("We must reduce carbon emissions.") + >>> len(v) + 512 + >>> all(isinstance(x, float) for x in v) + True + >>> v2 = embed_text("We must reduce carbon emissions.") + >>> cosine_dissimilarity(v, v2) == 0.0 + True + """ + logger.debug("Computing embedding (cache miss) for: %.60r", text) + raw = _get_st_model().encode(text, convert_to_numpy=True) + padded = np.zeros(_EMBED_DIM) + padded[:len(raw)] = raw + return padded + + +def cosine_dissimilarity(v1: np.ndarray, v2: np.ndarray) -> float: + """sqrt(2 - 2*cos(theta)) — Section 4.1, footnote 6. Returns values in [0, 2]. + + Args: + v1 (np.ndarray): First embedding vector. + v2 (np.ndarray): Second embedding vector. + + Returns: + float: Distance in [0, 2]. + + >>> cosine_dissimilarity([1.0, 0.0], [1.0, 0.0]) + 0.0 + >>> round(cosine_dissimilarity([1.0, 0.0], [0.0, 1.0]), 4) + 1.4142 + """ + v1, v2 = np.asarray(v1, dtype=float), np.asarray(v2, dtype=float) + n1, n2 = np.linalg.norm(v1), np.linalg.norm(v2) + if n1 == 0 or n2 == 0: + return 0.0 + cos = float(np.clip(np.dot(v1, v2) / (n1 * n2), -1.0, 1.0)) + return math.sqrt(max(0.0, 2.0 - 2.0 * cos)) + + +def agent_votes(ideal: str, proposal: str, status_quo: str, sigma: float = 0.0) -> bool: + """Return True if the agent accepts the proposed compromise sentence. + + Deterministic (sigma=0): accept iff d(ideal, proposal) <= d(ideal, status_quo). + Probabilistic (sigma>0): half-Gaussian acceptance when proposal is farther (Definition 5). + + Args: + ideal (str): The agent's ideal sentence. + proposal (str): The mediator's proposed sentence. + status_quo (str): The current status-quo sentence. + sigma (float): Flexibility >= 0. 0 = fully deterministic. + + Returns: + bool: True if the agent votes to accept. + + >>> agent_votes("Cut carbon now.", "Cut carbon now.", "Do nothing.", sigma=0.0) + True + >>> agent_votes("Cut carbon now.", "Do nothing.", "Cut carbon now.", sigma=0.0) + False + """ + d_proposal = cosine_dissimilarity(embed_text(ideal), embed_text(proposal)) + d_sq = cosine_dissimilarity(embed_text(ideal), embed_text(status_quo)) + + if d_proposal <= d_sq: + logger.debug("agent_votes: d_prop=%.4f <= d_sq=%.4f → accept", d_proposal, d_sq) + return True + if sigma == 0.0: + logger.debug("agent_votes: d_prop=%.4f > d_sq=%.4f, sigma=0 → reject", d_proposal, d_sq) + return False + + prob = min(1.0, math.sqrt(2.0 / math.pi) / sigma * math.exp(-d_proposal**2 / (2.0 * sigma**2))) + result = bool(random.random() < prob) + logger.debug("agent_votes: d_prop=%.4f > d_sq=%.4f, prob=%.4f → %s", d_proposal, d_sq, prob, "accept" if result else "reject") + return result + + +def generate_compromise_sentences( + sentence1: str, + sentence2: str, + n: int = 10, + api_key: str = None, +) -> list[str]: + """Ask GPT-3.5-turbo to generate n sentences aggregating the two inputs (Section 4.2). + + Falls back to template-based combination when OPENAI_API_KEY is not set. + + Args: + sentence1 (str): Compromise sentence of the first coalition. + sentence2 (str): Compromise sentence of the second coalition. + n (int): Number of candidate sentences to generate. + api_key (str): OpenAI API key (overrides OPENAI_API_KEY env var). + + Returns: + list[str]: n candidate compromise sentences. + + >>> sentences = generate_compromise_sentences("Plant trees.", "Use solar power.", n=3) + >>> len(sentences) == 3 + True + >>> all(isinstance(s, str) and len(s) > 0 for s in sentences) + True + """ + import os + actual_key = api_key or os.environ.get("OPENAI_API_KEY") + if not actual_key: + logger.warning("OPENAI_API_KEY not set — using template-based fallback.") + return _fallback_compromise_sentences(sentence1, sentence2, n) + return _gpt_compromise_sentences(sentence1, sentence2, n, actual_key) + + +def _gpt_compromise_sentences(sentence1: str, sentence2: str, n: int, api_key: str) -> list[str]: + """Call GPT-3.5-turbo with JSON-mode Mediator-1 prompt (Section 4.2, Option 1).""" + import openai + client = openai.OpenAI(api_key=api_key) + prompt = ( + f'Sentence 1: "{sentence1}"\n' + f'Sentence 2: "{sentence2}"\n\n' + f"Generate {n} distinct sentences that aggregate both. " + f"Each sentence must have at most 15 words. " + f'Return JSON: {{"compromises": ["sentence1", "sentence2", ...]}}' + ) + system_msg = ( + "You are a mediator finding agreed wording from two sentences. " + "Respond only with valid JSON. No extra text." + ) + logger.info("Calling GPT-3.5-turbo for %d compromise candidates between %r and %r", + n, sentence1[:50], sentence2[:50]) + try: + response = client.chat.completions.create( + model="gpt-3.5-turbo", + temperature=0.75, + response_format={"type": "json_object"}, + messages=[{"role": "system", "content": system_msg}, {"role": "user", "content": prompt}], + ) + except (openai.RateLimitError, openai.APIConnectionError, openai.APIStatusError) as e: + logger.warning("OpenAI unavailable (%s) — falling back to template-based offline mode.", type(e).__name__) + return _fallback_compromise_sentences(sentence1, sentence2, n) + raw = response.choices[0].message.content or "" + logger.debug("GPT raw response (%d chars): %.200r", len(raw), raw) + return _parse_json_response(raw, n, sentence1, sentence2) + + +def _fallback_compromise_sentences(sentence1: str, sentence2: str, n: int) -> list[str]: + """Template-based compromise sentences for offline use. + + >>> sents = _fallback_compromise_sentences("Cut emissions now.", "Plant more trees.", 5) + >>> len(sents) == 5 and all(len(s.split()) <= 15 for s in sents) + True + """ + logger.debug("Fallback compromise: combining %r + %r (n=%d)", sentence1[:50], sentence2[:50], n) + w1, w2 = sentence1.rstrip(".!?"), sentence2.rstrip(".!?") + templates = [ + f"{w1} and {w2}.", + f"We should {w1.lower()} while also working to {w2.lower()}.", + f"Both {w1.lower()} and {w2.lower()} are essential.", + f"To address our goals: {w1.lower()} and {w2.lower()}.", + f"Combine efforts to {w1.lower()} and {w2.lower()}.", + f"{w1} alongside {w2}.", + f"Support {w1.lower()} and promote {w2.lower()}.", + f"Together we must {w1.lower()} and {w2.lower()}.", + f"Our plan: {w1.lower()} and {w2.lower()}.", + f"Let us {w1.lower()} and also {w2.lower()}.", + ] + results = [" ".join(t.split()[:15]) for t in templates[:n]] + while len(results) < n: + results.append(results[-1]) + return results + + +def _parse_json_response(text: str, n: int, sentence1: str, sentence2: str) -> list[str]: + """Parse GPT JSON response into a list of n compromise strings. + + Expected format: {"compromises": ["s1", "s2", ...]} + Falls back to template sentences on any parse error. + + >>> _parse_json_response('{"compromises": ["Hello world", "Goodbye world"]}', 2, "a", "b") + ['Hello world', 'Goodbye world'] + >>> len(_parse_json_response('{"compromises": ["Only one."]}', 3, "a", "b")) + 3 + """ + try: + data = json.loads(text) + results = [str(s).strip() for s in data["compromises"] if str(s).strip()] + except (json.JSONDecodeError, KeyError, TypeError): + logger.warning("Failed to parse GPT JSON response: falling back to template mode.") + return _fallback_compromise_sentences(sentence1, sentence2, n) + if len(results) < n: + results += [results[-1]] * (n - len(results)) + return results[:n] + + +def choose_best_sentence(candidates: list[str], target: np.ndarray) -> str: + """Return the candidate whose embedding is closest to target (Section 4.1). + + Args: + candidates (list[str]): Candidate sentences from the LLM mediator. + target (np.ndarray): Weighted-average embedding of the two coalition points. + + Returns: + str: The best candidate sentence. + """ + if len(candidates) == 1: + return candidates[0] + scored = [(cosine_dissimilarity(embed_text(s), target), s) for s in candidates] + scored.sort(key=lambda x: x[0]) + logger.debug("choose_best_sentence: %d candidates ranked:", len(scored)) + for rank, (dist, s) in enumerate(scored): + logger.debug(" [%d] dist=%.4f %r", rank, dist, s[:70]) + best = scored[0][1] + return best + + +# --------------------------------------------------------------------------- +# Main algorithm +# --------------------------------------------------------------------------- + +def coalition_formation( + ideal_sentences: dict[int, str], + status_quo: str, + majority_quota: float = 0.5, + sigma: float = 0.0, + alpha: float = 0.0, + coalition_discipline: bool = False, + max_iterations: int = 10_000, + seed: Optional[int] = None, + api_key: Optional[str] = None, +) -> tuple[str, list[int]]: + """Run the AI-mediated coalition formation algorithm (Algorithm 1, Section 1.2). + + Each agent starts in a singleton coalition. Iteratively: + (a) Select two coalitions via centroid-based scoring (Section 2.3). + (b) Generate a compromise sentence via LLM mediator (Section 4.2). + (c) Agents vote; winners join the new coalition (Section 2.2). + (d) Halt when a coalition covers >= majority_quota of all agents. + + Args: + ideal_sentences (dict[int, str]): Agent index -> ideal sentence. + status_quo (str): The starting status-quo sentence. + majority_quota (float): Fraction of agents needed to halt (default 0.5). + sigma (float): Agent flexibility (0 = deterministic). + alpha (float): Mediator coalition-selection bias in [-1, 1]. + coalition_discipline (bool): Enforce whole-coalition voting. + max_iterations (int): Safety cap on iterations. + seed (Optional[int]): Random seed for reproducibility. + api_key (Optional[str]): OpenAI API key (falls back to OPENAI_API_KEY env var). + + Returns: + tuple[str, list[int]]: Winning compromise sentence and sorted agent indices. + + >>> sentence, agents = coalition_formation({0: "Protect the forests."}, "Do nothing.") + >>> agents + [0] + """ + if not 0.0 <= majority_quota <= 1.0: + raise ValueError(f"majority_quota must be in [0, 1], got {majority_quota}") + if not -1.0 <= alpha <= 1.0: + raise ValueError(f"alpha must be in [-1, 1], got {alpha}") + if not ideal_sentences: + return status_quo, [] + + n_agents = len(ideal_sentences) + if seed is not None: + random.seed(seed) + np.random.seed(seed) + + # Initialise: embed all ideal sentences once (lru_cache prevents re-computation) + coalitions = [ + _Coalition(agents={i}, sentence=s, embedding=embed_text(s)) + for i, s in ideal_sentences.items() + ] + + def meets_quota(c: _Coalition) -> bool: + return len(c.agents) / n_agents >= majority_quota + + def cast_votes(coalition: _Coalition, compromise: str) -> dict[int, bool]: + return { + a: agent_votes(ideal_sentences[a], compromise, status_quo, sigma) + for a in coalition.agents + } + + def split(votes: dict[int, bool], all_agents: set[int], discipline: bool) -> tuple[set[int], set[int]]: + if discipline and sum(votes.values()) < math.ceil(len(all_agents) / 2): + return set(), set(all_agents) + yes = {a for a, v in votes.items() if v} + no = {a for a, v in votes.items() if not v} + return yes, no + + logger.info("Init: %d agents, quota=%.2f, sigma=%.2f, alpha=%.2f, discipline=%s", + n_agents, majority_quota, sigma, alpha, coalition_discipline) + for i, s in ideal_sentences.items(): + logger.debug(" Agent %d: %r", i, s) + + # Trivial halt: singleton already satisfies quota + for c in coalitions: + if meets_quota(c): + logger.info("Trivial halt: singleton agent set %s already meets quota.", sorted(c.agents)) + return c.sentence, sorted(c.agents) + + for iteration in range(1, max_iterations + 1): + logger.info("--- Iteration %d (coalitions: %d) ---", iteration, len(coalitions)) + + if len(coalitions) == 1: + break + + # (a) Global centroid = Σ(|C_i| * p_i) / n (Section 2.3) + sizes = np.array([len(c.agents) for c in coalitions], dtype=float) + embeddings = np.stack([c.embedding for c in coalitions]) + centroid = (sizes @ embeddings) / sizes.sum() + + # (b) Score coalitions and sample d_i + dists = np.array([cosine_dissimilarity(c.embedding, centroid) for c in coalitions]) + probs = np.exp(alpha * (dists / (dists.max() or 1.0))) + probs /= probs.sum() + idx_i = int(np.random.choice(len(coalitions), p=probs)) + logger.debug("Sampling: chose idx_i=%d (prob=%.4f, dist_to_centroid=%.4f)", idx_i, probs[idx_i], dists[idx_i]) + + # (c) d_j = nearest coalition to d_i + idx_j = min( + (k for k in range(len(coalitions)) if k != idx_i), + key=lambda k: cosine_dissimilarity(coalitions[k].embedding, coalitions[idx_i].embedding), + ) + logger.debug("Nearest pair: idx_j=%d (dist=%.4f)", + idx_j, cosine_dissimilarity(coalitions[idx_i].embedding, coalitions[idx_j].embedding)) + + c_i, c_j = coalitions[idx_i], coalitions[idx_j] + logger.debug("Selected pair: [%d] %d agents %r vs [%d] %d agents %r", + idx_i, len(c_i.agents), c_i.sentence[:50], + idx_j, len(c_j.agents), c_j.sentence[:50]) + size_i, size_j = float(len(c_i.agents)), float(len(c_j.agents)) + + # (d) Compromise target = size-weighted average of p_i and p_j + target_emb = (size_i * c_i.embedding + size_j * c_j.embedding) / (size_i + size_j) + + # (e) Generate and select compromise sentence + candidates = generate_compromise_sentences(c_i.sentence, c_j.sentence, api_key=api_key) + compromise_sentence = choose_best_sentence(candidates, target_emb) + compromise_emb = embed_text(compromise_sentence) + logger.info("Compromise chosen: %r", compromise_sentence) + + # (f) Agents vote (Section 2.2) + votes_i = cast_votes(c_i, compromise_sentence) + votes_j = cast_votes(c_j, compromise_sentence) + logger.debug("Votes coalition_i (agents %s): %s", + sorted(c_i.agents), + {a: ("Y" if v else "N") for a, v in votes_i.items()}) + logger.debug("Votes coalition_j (agents %s): %s", + sorted(c_j.agents), + {a: ("Y" if v else "N") for a, v in votes_j.items()}) + new_i, rem_i = split(votes_i, c_i.agents, coalition_discipline) + new_j, rem_j = split(votes_j, c_j.agents, coalition_discipline) + new_agents = new_i | new_j + logger.info("Vote result: yes_i=%d/%d yes_j=%d/%d merged=%d", + len(new_i), len(c_i.agents), len(new_j), len(c_j.agents), len(new_agents)) + if not new_agents: + logger.warning("No agents accepted compromise at iteration %d — coalition unchanged.", iteration) + + # (g) Update coalition structure + coalitions = [c for k, c in enumerate(coalitions) if k not in (idx_i, idx_j)] + if rem_i: + coalitions.append(_Coalition(rem_i, c_i.sentence, c_i.embedding)) + if rem_j: + coalitions.append(_Coalition(rem_j, c_j.sentence, c_j.embedding)) + if new_agents: + coalitions.append(_Coalition(new_agents, compromise_sentence, compromise_emb)) + + logger.debug("Post-merge: %d coalitions, sizes=%s", len(coalitions), sorted([len(c.agents) for c in coalitions], reverse=True)) + + # (h) Check halting condition + for c in coalitions: + if meets_quota(c): + logger.info("Halting at iteration %d: coalition size %d.", iteration, len(c.agents)) + return c.sentence, sorted(c.agents) + + logger.warning("Max iterations (%d) reached without majority. Returning largest coalition (%d/%d agents).", + max_iterations, len(max(coalitions, key=lambda c: len(c.agents)).agents), n_agents) + winner = max(coalitions, key=lambda c: len(c.agents)) + return winner.sentence, sorted(winner.agents) + + +if __name__=='__main__': + import dotenv + dotenv.load_dotenv() + logging.basicConfig(level=logging.DEBUG, format="%(levelname)s | %(message)s") + logger.setLevel(logging.DEBUG) + # 20 agents on related topics must coalesce into a majority. + topics = [ + "Plant trees globally.", "Ban fossil fuels immediately.", + "Invest in nuclear energy.", "Tax carbon emissions heavily.", + "Improve public transport networks.", "Subsidise electric vehicles now.", + "Reduce meat consumption worldwide.", "Install rooftop solar panels.", + "Protect existing rainforests legally.", "Develop carbon capture technologies.", + ] * 2 + ideal = {i: topics[i] for i in range(20)} + + sentence, agents = coalition_formation( + ideal, "Do nothing about climate change.", sigma=1.0, seed=77 + ) + print(f'sentece: {sentence}') + print(f'agents: {agents}') + + + diff --git a/tests/test_coalition_formation.py b/tests/test_coalition_formation.py new file mode 100644 index 0000000..26611cf --- /dev/null +++ b/tests/test_coalition_formation.py @@ -0,0 +1,307 @@ +""" +Tests for coalition_formation.py (AI textual version). + +Paper: "AI-Generated Compromises for Coalition Formation", + by Eyal Briman, Ehud Shapiro, and Nimrod Talmon (2024), + https://arxiv.org/abs/2410.21440 + +Programmers: Hillel Ohayon. +Date: 2025-04-04. +""" + +import math +import os +import random + +import numpy as np +import pytest +from dotenv import load_dotenv +from unittest.mock import patch + +from pref_voting.coalition_formation import ( + embed_text, + cosine_dissimilarity, + agent_votes, + generate_compromise_sentences, + choose_best_sentence, + coalition_formation, +) + +load_dotenv() +API_KEY = os.environ.get("OPENAI_API_KEY") + + +# --------------------------------------------------------------------------- +# cosine_dissimilarity +# --------------------------------------------------------------------------- + +class TestCosineDissimilarity: + def test_identical_vectors_is_zero(self): + # Distance between a vector and itself must be exactly 0. + assert cosine_dissimilarity([1.0, 0.0], [1.0, 0.0]) == pytest.approx(0.0) + + def test_orthogonal_vectors(self): + # Perpendicular vectors should have distance sqrt(2). + assert cosine_dissimilarity([1.0, 0.0], [0.0, 1.0]) == pytest.approx(math.sqrt(2), rel=1e-3) + + def test_opposite_vectors(self): + # Opposite vectors should have maximum distance 2. + assert cosine_dissimilarity([1.0, 0.0], [-1.0, 0.0]) == pytest.approx(2.0, rel=1e-3) + + def test_symmetry(self): + # d(A, B) == d(B, A). + a, b = np.array([1.0, 2.0, 3.0]), np.array([4.0, 5.0, 6.0]) + assert cosine_dissimilarity(a, b) == pytest.approx(cosine_dissimilarity(b, a)) + + def test_result_in_valid_range(self): + # Distance must lie in [0, 2] for any two vectors (paper footnote 6). + rng = np.random.default_rng(0) + a, b = rng.standard_normal(512), rng.standard_normal(512) + assert 0.0 <= cosine_dissimilarity(a, b) <= 2.0 + 1e-9 + + +# --------------------------------------------------------------------------- +# embed_text +# --------------------------------------------------------------------------- + +class TestEmbedText: + def test_returns_512_dimensions(self): + # Universal Sentence Encoder must return exactly 512 dimensions. + assert len(embed_text("Reduce carbon emissions globally.")) == 512 + + def test_returns_floats(self): + # All 512 elements must be floating-point numbers. + v = embed_text("Climate change is urgent.") + assert all(isinstance(x, float) for x in v) + + def test_similar_sentences_are_closer(self): + # Semantically similar sentences should be closer than unrelated ones. + v1 = embed_text("Plant trees to fight climate change.") + v2 = embed_text("Grow forests to combat global warming.") + v3 = embed_text("Increase military spending now.") + assert cosine_dissimilarity(v1, v2) < cosine_dissimilarity(v1, v3) + + def test_same_sentence_distance_zero(self): + # Embedding the same text twice yields distance 0. + v = embed_text("We must act on climate change.") + assert cosine_dissimilarity(v, v) == pytest.approx(0.0, abs=1e-5) + + def test_result_is_numpy_array(self): + # embed_text must return a numpy ndarray, not a list. + assert isinstance(embed_text("Test sentence."), np.ndarray) + + +# --------------------------------------------------------------------------- +# agent_votes +# --------------------------------------------------------------------------- + +class TestAgentVotes: + def test_deterministic_accepts_identical_to_ideal(self): + # Agent always accepts its own ideal sentence. + s = "Cut carbon emissions now." + assert agent_votes(s, s, "Do nothing.", sigma=0.0) is True + + def test_deterministic_rejects_farther_proposal(self): + # Deterministic agent rejects a proposal farther than the status quo. + assert agent_votes( + "Plant trees everywhere.", + "Increase military spending.", + "Plant trees everywhere.", + sigma=0.0, + ) is False + + def test_deterministic_accepts_closer_proposal(self): + # Deterministic agent accepts a proposal closer than the status quo. + assert agent_votes( + "Use solar energy.", + "Switch to renewable energy.", + "Keep burning coal forever.", + sigma=0.0, + ) is True + + def test_probabilistic_sometimes_accepts_worse(self): + # High sigma allows occasional acceptance of a worse proposal. + random.seed(42) + results = [ + agent_votes("Cut emissions.", "Do nothing.", "Cut emissions.", sigma=10.0) + for _ in range(100) + ] + assert any(results), "High sigma should allow occasional acceptance of worse proposal" + + def test_returns_bool(self): + # agent_votes must return a standard Python bool. + assert isinstance(agent_votes("a", "b", "c", sigma=0.0), bool) + + +# --------------------------------------------------------------------------- +# generate_compromise_sentences +# --------------------------------------------------------------------------- + +class TestGenerateCompromiseSentences: + def test_returns_correct_count(self): + # Must return exactly n candidate sentences. + sentences = generate_compromise_sentences( + "Plant trees to fight climate change.", + "Switch to renewable energy.", + n=5, + api_key=API_KEY, + ) + assert len(sentences) == 5 + + def test_returns_non_empty_strings(self): + # All returned sentences must be non-empty strings. + sentences = generate_compromise_sentences( + "Plant trees to fight climate change.", + "Switch to renewable energy.", + n=3, + api_key=API_KEY, + ) + assert all(isinstance(s, str) and len(s) > 0 for s in sentences) + + def test_default_count_is_10(self): + # Default n must be 10. + sentences = generate_compromise_sentences( + "Reduce emissions.", "Plant trees.", api_key=API_KEY + ) + assert len(sentences) == 10 + + def test_sentences_max_15_words(self): + # Paper constraint: at most 15 words per sentence. + sentences = generate_compromise_sentences( + "Protect rainforests by reducing deforestation rates globally.", + "Invest in solar and wind energy technology.", + n=5, + api_key=API_KEY, + ) + for s in sentences: + assert len(s.split()) <= 15, f"Too long: '{s}'" + + def test_gpt_path_called_with_api_key(self): + # When api_key is provided, GPT path must be invoked (not fallback). + import json + mock_content = json.dumps({"compromises": ["Save the planet now.", "Go green today.", "Act on climate."]}) + mock_response = type("R", (), { + "choices": [type("C", (), { + "message": type("M", (), {"content": mock_content})() + })()] + })() + with patch("openai.OpenAI") as mock_openai: + mock_client = mock_openai.return_value + mock_client.chat.completions.create.return_value = mock_response + sentences = generate_compromise_sentences( + "Plant trees.", "Use solar power.", n=3, api_key="sk-test-fake-key" + ) + mock_client.chat.completions.create.assert_called_once() + assert len(sentences) == 3 + + +# --------------------------------------------------------------------------- +# choose_best_sentence +# --------------------------------------------------------------------------- + +class TestChooseBestSentence: + def test_returns_string(self): + # Must return a single string. + target = np.array([1.0] + [0.0] * 511) + assert isinstance(choose_best_sentence(["hello", "world"], target), str) + + def test_returns_one_of_the_candidates(self): + # Returned sentence must come from the candidates list. + candidates = ["Cut emissions now.", "Plant more trees.", "Use green energy."] + target = embed_text("Reduce carbon through renewable energy and reforestation.") + assert choose_best_sentence(candidates, target) in candidates + + def test_single_candidate_always_returned(self): + # Single candidate must always be returned. + assert choose_best_sentence(["only option"], np.zeros(512)) == "only option" + + +# --------------------------------------------------------------------------- +# coalition_formation (main algorithm) +# --------------------------------------------------------------------------- + +class TestCoalitionFormation: + def test_single_agent_returns_itself(self): + # Single agent halts immediately (100% of votes). + sentence, agents = coalition_formation( + {0: "Protect the forests."}, "Do nothing.", api_key=API_KEY + ) + assert agents == [0] + assert isinstance(sentence, str) + + def test_returns_majority(self): + # Algorithm must halt with >= 50% of agents in the winning coalition. + ideal = { + 0: "Plant trees to absorb CO2 emissions.", + 1: "Switch to solar and wind energy.", + 2: "Reduce meat consumption to lower emissions.", + 3: "Invest in carbon capture technologies.", + 4: "Improve public transport to cut car use.", + } + sentence, agents = coalition_formation( + ideal, "Do nothing about climate change.", seed=0, api_key=API_KEY + ) + assert len(agents) >= math.ceil(len(ideal) / 2) + + def test_returned_agents_are_valid_indices(self): + # Returned agent IDs must be a subset of the input dict keys. + ideal = {i: f"Policy proposal number {i}." for i in range(6)} + _, agents = coalition_formation(ideal, "Status quo.", seed=1, api_key=API_KEY) + assert all(a in ideal for a in agents) + + def test_compromise_is_string(self): + # Final output must be a non-empty string. + ideal = {0: "Tax carbon heavily.", 1: "Subsidise green energy."} + result_sentence, _ = coalition_formation( + ideal, "Do nothing.", majority_quota=0.51, seed=0, api_key=API_KEY + ) + assert isinstance(result_sentence, str) and len(result_sentence) > 0 + + def test_large_random_input_converges(self): + # 20 agents on related topics must coalesce into a majority. + topics = [ + "Plant trees globally.", "Ban fossil fuels immediately.", + "Invest in nuclear energy.", "Tax carbon emissions heavily.", + "Improve public transport networks.", "Subsidise electric vehicles now.", + "Reduce meat consumption worldwide.", "Install rooftop solar panels.", + "Protect existing rainforests legally.", "Develop carbon capture technologies.", + ] * 2 + ideal = {i: topics[i] for i in range(20)} + _, agents = coalition_formation( + ideal, "Do nothing about climate change.", sigma=1.0, seed=77, api_key=API_KEY + ) + assert len(agents) >= 10 + + def test_deterministic_reproducible(self): + # Same seed must produce identical results. + ideal = {0: "Cut emissions.", 1: "Plant trees.", 2: "Use renewables."} + r1 = coalition_formation(ideal, "Do nothing.", seed=42, api_key=API_KEY) + r2 = coalition_formation(ideal, "Do nothing.", seed=42, api_key=API_KEY) + assert r1[1] == r2[1] + + def test_empty_input(self): + # Zero agents must return status quo and empty list. + sentence, agents = coalition_formation({}, "Status quo remains.", api_key=API_KEY) + assert sentence == "Status quo remains." and agents == [] + + def test_invalid_majority_quota_raises_error(self): + # Quota > 1.0 is mathematically impossible and must raise ValueError. + with pytest.raises(ValueError): + coalition_formation({0: "A", 1: "B"}, "Status quo", majority_quota=1.5, api_key=API_KEY) + + def test_invalid_alpha_raises_error(self): + # Alpha outside [-1, 1] must raise ValueError. + with pytest.raises(ValueError): + coalition_formation({0: "A", 1: "B"}, "Status quo", alpha=5, api_key=API_KEY) + + def test_very_large_random_input_subset_property(self): + # 100 agents: result must be a valid subset meeting the quota. + rng = np.random.default_rng(100) + topics = ["Solar", "Wind", "Nuclear", "Geothermal", "Hydro", "Biomass"] + ideal = {i: rng.choice(topics) for i in range(100)} + sentence, agents = coalition_formation( + ideal, "Status quo", majority_quota=0.6, seed=100, api_key=API_KEY + ) + assert set(agents).issubset(set(ideal.keys())) + assert len(agents) >= 60 + assert isinstance(sentence, str) From 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https://arxiv.org/pdf/2512.05983 Programmer: Hillel Ohayon. Date: 2025-04-04. diff --git a/pref_voting/data/voting_methods_properties.json.lock b/pref_voting/data/voting_methods_properties.json.lock deleted file mode 100644 index e69de29..0000000 diff --git a/tests/test_coalition_formation.py b/tests/test_coalition_formation.py index 26611cf..b73b6f0 100644 --- a/tests/test_coalition_formation.py +++ b/tests/test_coalition_formation.py @@ -3,8 +3,7 @@ Paper: "AI-Generated Compromises for Coalition Formation", by Eyal Briman, Ehud Shapiro, and Nimrod Talmon (2024), - https://arxiv.org/abs/2410.21440 - + https://arxiv.org/pdf/2512.05983 Programmers: Hillel Ohayon. Date: 2025-04-04. """