... incomeuncertainty and, 77–80, 140 44 ;optimum retirement and, 29; optimumtransfers and, 58Warshawsky, M. J., 131–32welfare, xiv; longevity increase and, 30–32, 44 ; market value and, 41 42 ;period-certain ... separating equilibrium and, 140 44 ; sequential market equilibrium and, 141 44 ; uncertainty and, 77–80, 140 44 information, 3 4, 26; asymmetric, 6,118–22; bequests and, 82; cost effects and, 119–20; ... information and, 82, 112; hyperbolicdiscounters and, 148 49 ; medical care and, 54; no late transactions and, 140 ;numeraire, 120–21, 125–26; optimumcommodity taxation and, 122–30;period-certain...