Growth and Coalition Formation

Existence of optimal strategies in linear multisector models

“…13 We observe that, when the matrix A is square and indecomposable and B = I then a possible choice of v F is the Frobenius right eigenvector of A that we call v P F > 0. In this case, due to the strict positivity of v P F (which comes from indecomposability of A), the above estimates are in fact estimates on every component of the vectors s t , x t .…”

“…By the Farkas Lemma (see for instance Gale's theorem for linear inequalities; [10] or [13], pp. 33-34) we have that…”

“…33-34). Assume now that statement (8) does not hold and obtain, once again from the Farkas Lemma (see for instance Motzkin's theorem of the alternative; [15] or [13], pp. [28][29], that…”

“…By estimate (13) we know that the functions t → f n (t) = c 1−σ nt belong to the space L 1/(1−σ) Γ+ε (0, +∞; R) i.e. the space of functions: (0, +∞) → R that, elevated to 1/ (1 − σ) and multiplied by the weight function e −(Γ+ε)t are integrable.…”

The Coast Port Industry in the U.S.A. A Key Factor in the Process of Economic Growth

“…Federal financing is however being reduced and the funds for dredging are in competition with those for port security 13 . Against this growing demand, the predicted budget for the tax year 2004 is 40 million dollars less than that for the previous tax year for maintenance dredging, and more than 90 million less for capital expenditure, and barely any more (+ 2 million) for other work.…”