an:01487994
Zbl 0982.90048
Daniilidis, Aris
Arrow-Barankin-Blackwell theorems and related results in cone duality: A survey
EN
Nguyen, Van Hien (ed.) et al., Optimization. Proceedings of the 9th Belgian-French-German conference, Namur, Belgium, September 7-11, 1998. Berlin: Springer. Lect. Notes Econ. Math. Syst. 481, 119-131 (2000).
2000
a
90C29 90C46
vector optimization; efficient points; positive functionals; denting points; cone duality
Summary: We attempt a brief survey on the cone duality and on the density theorems of Arrow-Barankin and Blackwell's type [\textit{K. Arrow, E. Barankin} and \textit{D. Blackwell}, Contrib. Theory of Games II, Ann. Math. Studies 28, 87-91 (1953; Zbl 0050.14203)]. Concerning the latter aspect we show the equivalence of two recent and ostensibly different results. We follow a unified approach which provides in particular a simple way of surveying these results an their proofs.
For the entire collection see [Zbl 0935.00054].
Zbl 0050.14203