Weber vote-for-or-against-k: best k + Monte Carlo CAV strategy#54
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Weber vote-for-or-against-k: best k + Monte Carlo CAV strategy#54endolith wants to merge 3 commits into
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…ess table - Maximize eff_vote_for_or_against_k over integer k in 1..floor(m/2) instead of rounding alpha*m (differs e.g. at m=91). - effectiveness_table: add Best Vote-for-or-against-k from closed form; document that Merrill-style Monte Carlo does not apply to that column. - Fix weber_1977_expressions __main__ table construction and infinity row. Co-authored-by: endolith <endolith@gmail.com>
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Implement vote_for_or_against_k as +1 on each voter's k best utilities and -1 on their k worst (disjoint when k <= n//2), matching Monte Carlo SUE to Weber's effectiveness integrals. Wire weber_1977_effectiveness_table to combined_approval with best k; add regression checks in test_cases and test_strategies. Co-authored-by: endolith <endolith@gmail.com>
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Implement literal type draw (uniform k-subset, then +1 on S or -1 on S), independent of utilities; remove incorrect simultaneous top/bottom rule and MC-vs-theory asserts. Document possible gap vs dashed eff_* in effectiveness table. Co-authored-by: endolith <endolith@gmail.com>
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Summary
vote_for_or_against_know follows Weber’s text (Cowles DP 498): for each voter, draw a uniform cardinality-ksubsetS, then with probability 1/2 vote forS(+1on those candidates) or vote againstS(-1on the sameS) — XOR on one set, not simultaneous +top / −bottom. Types are drawn independently of the utility matrix (utilities only fix ballot shape / RNG).eff_vote_for_or_against_kunder that wrong rule.weber_1977_effectiveness_table.pydocstring now states explicitly that Merrill-style IC + this literal type draw can diverge from the dashedeff_*curve; that gap is treated as an informative outcome.Tests
python3 -m pytest tests/ -qPYTHONPATH=. python3 examples/weber_1977_expressions.py