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commission reduction (2019 vs 2021)","base_final_actions":[0.8801250336521205,0.43454174705346077,0.8893137822918923],"cf_final_actions":[0.9815092075950346,0.8068321734612365,0.9940723501089869],"cooperation_improvement":0.19281105605592808,"trust_comparison":{"base_final_trust":[[1.0,0.10392382613448688,0.5120309892435909],[0.4055061483801906,1.0,0.46857373280376907],[0.40168122584277643,0.11780327716306345,1.0]],"cf_final_trust":[[1.0,0.5292491794786263,0.7459537018859872],[0.7575331114911406,1.0,0.6496446411283825],[0.7570545142721917,0.47802213030450014,1.0]]},"phase_comparison":{"Symbiosis":{"base_mean":0.8010400720736065,"counterfactual_mean":0.8010400720736065,"difference":0.0,"pct_change":0.0},"Maturation":{"base_mean":0.968863409699604,"counterfactual_mean":0.9720380128742073,"difference":0.0031746031746032743,"pct_change":0.32766261403014074},"Tension":{"base_mean":0.8988997340388858,"counterfactual_mean":0.9778745629427673,"difference":0.07897482890388152,"pct_change":8.785721689897077},"Crisis":{"base_mean":0.6499497227948348,"counterfactual_mean":0.923473755825851,"difference":0.27352403303101624,"pct_change":42.08387563500165},"Adjustment":{"base_mean":0.7242143805431562,"counterfactual_mean":0.9392983625635614,"difference":0.21508398202040513,"pct_change":29.698938297675543}}}},"counterfactual":{"scenario":"Early commission reduction (2019 vs 2021)","base_final_actions":[0.8801250336521205,0.43454174705346077,0.8893137822918923],"cf_final_actions":[0.9815092075950346,0.8068321734612365,0.9940723501089869],"cooperation_improvement":0.19281105605592808,"trust_comparison":{"base_final_trust":[[1.0,0.10392382613448688,0.5120309892435909],[0.4055061483801906,1.0,0.46857373280376907],[0.40168122584277643,0.11780327716306345,1.0]],"cf_final_trust":[[1.0,0.5292491794786263,0.7459537018859872],[0.7575331114911406,1.0,0.6496446411283825],[0.7570545142721917,0.47802213030450014,1.0]]},"phase_comparison":{"Symbiosis":{"base_mean":0.8010400720736065,"counterfactual_mean":0.8010400720736065,"difference":0.0,"pct_change":0.0},"Maturation":{"base_mean":0.968863409699604,"counterfactual_mean":0.9720380128742073,"difference":0.0031746031746032743,"pct_change":0.32766261403014074},"Tension":{"base_mean":0.8988997340388858,"counterfactual_mean":0.9778745629427673,"difference":0.07897482890388152,"pct_change":8.785721689897077},"Crisis":{"base_mean":0.6499497227948348,"counterfactual_mean":0.923473755825851,"difference":0.27352403303101624,"pct_change":42.08387563500165},"Adjustment":{"base_mean":0.7242143805431562,"counterfactual_mean":0.9392983625635614,"difference":0.21508398202040513,"pct_change":29.698938297675543}}},"behavioral_targets":{"cooperation_emergence":{"metric":"cooperation_emerged","achieved":15235,"total":15625,"achievement_pct":97.504,"threshold":85.0,"passed":true},"defection_punishment":{"metric":"defection_punished","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":95.0,"passed":true},"forgiveness_dynamics":{"metric":"forgiveness_achieved","achieved":13728,"total":15625,"achievement_pct":87.8592,"threshold":80.0,"passed":true},"asymmetric_differentiation":{"metric":"asymmetric_differentiated","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":90.0,"passed":true},"trust_reciprocity_interaction":{"metric":"trust_recip_interaction","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":90.0,"passed":true},"bounded_responses":{"metric":"bounded_check","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":100.0,"passed":true}},"validation_summary":{"metadata":{"version":"1.0.0","arxiv_id":"(forthcoming)","authors":"Vik Pant, Eric Yu","timestamp":"2026-02-16T21:50:05.858179","seed":42,"granularity":"standard"},"experimental":{"n_configurations":15625,"behavioral_targets":{"cooperation_emergence":{"metric":"cooperation_emerged","achieved":15235,"total":15625,"achievement_pct":97.504,"threshold":85.0,"passed":true},"defection_punishment":{"metric":"defection_punished","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":95.0,"passed":true},"forgiveness_dynamics":{"metric":"forgiveness_achieved","achieved":13728,"total":15625,"achievement_pct":87.8592,"threshold":80.0,"passed":true},"asymmetric_differentiation":{"metric":"asymmetric_differentiated","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":90.0,"passed":true},"trust_reciprocity_interaction":{"metric":"trust_recip_interaction","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":90.0,"passed":true},"bounded_responses":{"metric":"bounded_check","achieved":15625,"total":15625,"achievement_pct":100.0,"threshold":100.0,"passed":true}},"sensitivity":{"rho_0":{"final_coop_mean":{"r":0.4556107588621044,"p":0.0},"differentiation_ratio":{"r":-2.7755575615628914e-17,"p":1.0}},"eta":{"final_coop_mean":{"r":-0.22079025239883737,"p":8.227715666863663e-172},"differentiation_ratio":{"r":0.992606504765056,"p":0.0}},"kappa":{"final_coop_mean":{"r":0.3986527504103656,"p":0.0},"differentiation_ratio":{"r":-2.3418766925686896e-17,"p":1.0}},"k":{"final_coop_mean":{"r":-4.336808689942018e-19,"p":1.0},"differentiation_ratio":{"r":3.686287386450715e-18,"p":1.0}},"lambda_R":{"final_coop_mean":{"r":0.4556107588621044,"p":0.0},"differentiation_ratio":{"r":-9.75781955236954e-19,"p":1.0}},"T_0":{"final_coop_mean":{"r":0.18951971982727342,"p":2.7160332604544455e-126},"differentiation_ratio":{"r":-4.336808689942018e-18,"p":1.0}}}},"statistical_tests":{"paired_ttest":{"t_statistic":195.727889815941,"p_value":0.0,"df":15624,"mean":2.754534691727113,"std":0.801198217654913,"cohens_d":1.565823118527528},"bootstrap_ci":{"ci_95_lower":2.7415923344214006,"ci_95_upper":2.7669537844573076,"n_resamples":10000,"boot_mean":2.754397737032475,"boot_std":0.006472401299311639},"wilcoxon":{"w_statistic":122078125.0,"p_value":0.0,"significant_001":true}},"monte_carlo":{"n_trials":2000,"noise_level":0.15,"all_targets_pct":94.5,"mean_differentiation":1.9971032470478627,"std_differentiation":0.1208697321991127,"min_differentiation":1.8025207258963662,"success_count":1890},"functional_experiments":{"exp1_pd_cooperation":{"without_reciprocity":0.4090968638764874,"with_reciprocity":1.0,"payoff_ratio":2.4444088632806418,"validated":true},"exp2_asymmetric":{"high_dep_response":0.3149477921669579,"low_dep_response":0.06998839825932397,"differentiation_ratio":4.5,"validated":"True"},"exp3_memory_window":{"1":{"recovery_time":2,"within_2k":true},"3":{"recovery_time":2,"within_2k":true},"5":{"recovery_time":2,"within_2k":true},"10":{"recovery_time":2,"within_2k":true}},"exp4_trust_interaction":{"cooperation_by_trust":{"0.3":0.38106706301212107,"0.6":0.7214482770157942,"0.9":1.0},"variation_ratio":2.624210006751992,"validated":true},"exp5_team_production":{"without_reciprocity":1.1431182568010072,"with_reciprocity":3.0,"output_increase_pct":162.44003909056948,"validated":true}},"empirical":{"apple_score":43.0,"apple_percentage":84.31372549019608,"apple_passed":true},"summary":"\nTR-4 VALIDATION RESULTS:\n\n1. EXPERIMENTAL VALIDATION (15,625 configurations):\n - Cooperation emergence: 97.5% (threshold >85%)\n - Defection punishment: 100.0% (threshold >95%)\n - Forgiveness dynamics: 87.9% (threshold >80%)\n - Asymmetric diff.: 100.0% (threshold >90%)\n - Trust-recip interaction: 100.0% (threshold >90%)\n - Bounded responses: 100.0% (threshold =100%)\n\n2. STATISTICAL SIGNIFICANCE:\n - t-test: p < 0.001\n - Cohen's d: 1.57 (large)\n - Wilcoxon signed-rank: p < 0.001\n\n3. MONTE CARLO ROBUSTNESS (2000 trials, +/-15% noise):\n - All targets met: 94.5%\n - Mean differentiation: 2.00 +/- 0.12\n\n4. FUNCTIONAL EXPERIMENTS: 5/5 completed\n\n5. EMPIRICAL VALIDATION (Apple iOS App Store):\n - Score: 43.0/51\n - Percentage: 84.3%\n - Status: PASSED\n\nVALIDATION COMPLETE.\n"}} | |