Dw. Mitchell et Sm. Douglas, PORTFOLIO RESPONSE TO A SHIFT IN A RETURN DISTRIBUTION - THE CASE OF N-DEPENDENT ASSETS, International economic review, 38(4), 1997, pp. 945-950
Recent papers have shown utility function conditions that are sufficie
nt, in a two-asset context with or without stochastic dependence, for
a conditional first-order stochastically dominating shift (or a condit
ional mean-preserving contraction) of one asset's return distribution
never to result in a decline in holdings of that asset. The present pa
per shows that these conditions are sufficient even when there are an
arbitrary number of assets.