scenario,gift_quintile,z_index,z,a1_mean,V_base,V_base_simulated,V_alt,U_base,U_base_simulated,Phi_base,cev,weight
sigma_high,1,0,0.34127698931706957,0.0,-15.015579600330708,-15.065963122122442,-20.97871913756373,-14.288949200821705,-14.339332722613438,-0.7266303995090035,-0.3533592220839433,0.012499999999999834
sigma_high,1,1,0.5517410888813028,0.0,-11.191601273586027,-11.244774633143724,-13.670063745701185,-10.495602692530975,-10.548776052088671,-0.6959985810550531,-0.2327902132466786,0.049999999999999864
sigma_high,1,2,0.8919975230943581,0.0,-8.54202888135086,-8.626808436808142,-9.478590398212264,-7.886373684824395,-7.971153240281678,-0.6556551965264643,-0.1308788321036526,0.07500000000000011
sigma_high,1,3,1.442088684784616,0.0,-6.627846529174714,-6.731348975329409,-6.731988923129145,-6.029656119171207,-6.133158565325902,-0.5981904100035068,-0.0211778285685289,0.05000000000000017
sigma_high,1,4,2.3314187774530795,0.0,-5.149237537298262,-5.3066915339002545,-4.735400046045634,-4.6350448730698925,-4.792498869671885,-0.5141926642283696,0.12401360411381734,0.01250000000000005
sigma_high,2,0,0.34127698931706957,0.04462311440407497,-14.191165543082521,-14.190441929422997,-19.02325090703763,-13.46186455766677,-13.461140944007246,-0.729300985415751,-0.31845087663025706,0.012499999999999834
sigma_high,2,1,0.5517410888813028,0.04462311440407497,-10.857836555655814,-10.886834331620392,-13.145315708515952,-10.157398992259358,-10.186396768223936,-0.7004375633964558,-0.22421776604425625,0.049999999999999864
sigma_high,2,2,0.8919975230943581,0.04462311440407497,-8.40619819282196,-8.439139470507723,-9.31814515624419,-7.749605072124006,-7.78254634980977,-0.6565931206979526,-0.12982857995974573,0.07500000000000011
sigma_high,2,3,1.442088684784616,0.04462311440407497,-6.5702774876531596,-6.670934723594553,-6.674869486899875,-5.976142974056615,-6.076800209998009,-0.594134513596544,-0.021454261969463206,0.05000000000000017
sigma_high,2,4,2.3314187774530795,0.04462311440407497,-5.115863801900613,-5.293680434283273,-4.709410480851391,-4.606533068736899,-4.784349701119559,-0.5093307331637138,0.12239525191355094,0.01250000000000005
sigma_high,3,0,0.34127698931706957,0.23513991501759118,-12.359248552030097,-12.361200937714965,-15.591746827180614,-11.63040515701799,-11.632357542702858,-0.7288433950121074,-0.26402343624959257,0.012499999999999834
sigma_high,3,1,0.5517410888813028,0.23513991501759118,-9.94812713102736,-10.009594424641,-11.778105196039153,-9.248339959750636,-9.309807253364276,-0.6997871712767234,-0.20202837851278277,0.049999999999999864
sigma_high,3,2,0.8919975230943581,0.23513991501759118,-7.973422543554516,-8.069127129407338,-8.784534070074724,-7.314354609846676,-7.410059195699498,-0.6590679337078404,-0.123181592167254,0.07500000000000011
sigma_high,3,3,1.442088684784616,0.23513991501759118,-6.339921790357428,-6.459650270836745,-6.438644278122032,-5.751392451101033,-5.87112093158035,-0.5885293392563946,-0.021049448846324093,0.05000000000000017
sigma_high,3,4,2.3314187774530795,0.23513991501759118,-4.9733139664514745,-5.15279338717678,-4.602703014530211,-4.468526129178976,-4.648005549904282,-0.5047878372724988,0.11429882183695472,0.01250000000000005
sigma_high,4,0,0.34127698931706957,0.5543410933167732,-10.752038050012997,-10.773432038071931,-13.01000763595023,-10.025524686881322,-10.046918674940256,-0.7265133631316741,-0.22423268308530575,0.012499999999999834
sigma_high,4,1,0.5517410888813028,0.5543410933167732,-9.00177946137894,-9.070561647962569,-10.415381813170189,-8.306159093325684,-8.374941279909313,-0.6956203680532557,-0.1783614662043732,0.049999999999999864
sigma_high,4,2,0.8919975230943581,0.5543410933167732,-7.410032062062198,-7.50327130083969,-8.10141957948487,-6.762731307656091,-6.855970546433583,-0.6473007544061066,-0.11456379420432794,0.07500000000000011
sigma_high,4,3,1.442088684784616,0.5543410933167732,-6.003295918386018,-6.119750874223075,-6.090469185452373,-5.424603129571385,-5.541058085408442,-0.5786927888146335,-0.019730535818047845,0.05000000000000017
sigma_high,4,4,2.3314187774530795,0.5543410933167732,-4.781502379066939,-4.954308791816449,-4.4386483879012,-4.287482280704664,-4.4602886934541734,-0.49402009836227573,0.10980152306424773,0.01250000000000005
sigma_high,5,0,0.34127698931706957,1.3385449886953011,-8.722031940817095,-8.790719631944858,-10.12435781282731,-8.013855071580545,-8.082542762708309,-0.7081768692365494,-0.18255534059604983,0.012499999999999834
sigma_high,5,1,0.5517410888813028,1.3385449886953011,-7.54814625167934,-7.6403950598054005,-8.501597471766079,-6.8773182088195135,-6.969567016945574,-0.6708280428598259,-0.14980537833296492,0.049999999999999864
sigma_high,5,2,0.8919975230943581,1.3385449886953011,-6.429457617480037,-6.543826965615402,-6.909100264299494,-5.8113974131301624,-5.9257667612655265,-0.6180602043498751,-0.09437655666164069,0.07500000000000011
sigma_high,5,3,1.442088684784616,1.3385449886953011,-5.367430625329965,-5.524956393441921,-5.42463880616139,-4.812555426929703,-4.970081195041659,-0.5548751984002626,-0.014662910221729053,0.05000000000000017
sigma_high,5,4,2.3314187774530795,1.3385449886953011,-4.39669980569098,-4.612716337073607,-4.093083730558374,-3.9221887785667855,-4.138205309949413,-0.4745110271241943,0.1059588991856304,0.01250000000000005
sigma_high,marginal,0,0.34127698931706957,1.1751182317884616,-9.027033442318817,-9.075401222650985,-10.50222887408297,-8.312758253546393,-8.361126033878561,-0.7142751887724242,-0.1847016631498669,0.012499999999999834
sigma_high,marginal,1,0.5517410888813028,0.8819699179135357,-8.298206485397804,-8.358545612287816,-9.463399489455307,-7.617236999243168,-7.6775761261331805,-0.6809694861546354,-0.16299420678155352,0.049999999999999864
sigma_high,marginal,2,0.8919975230943581,0.4943837471362199,-7.509346455756015,-7.607747467400963,-8.213850040014215,-6.86249850414883,-6.960899515793778,-0.6468479516071849,-0.11499033979703266,0.07500000000000011
sigma_high,marginal,3,1.442088684784616,0.23527812394051148,-6.340397566144714,-6.484408492573511,-6.43683041688982,-5.75339889072812,-5.897409817156918,-0.5869986754165931,-0.020563266075488418,0.05000000000000017
sigma_high,marginal,4,2.3314187774530795,0.027672325064360934,-5.130631640016606,-5.322559690617759,-4.719190094985672,-4.6184438295243915,-4.810371880125544,-0.5121878104922143,0.1237084527007597,0.01250000000000005