Intergenerational equity: sup, inf, lim sup, and lim inf
نویسنده
چکیده
We study the problem of intergenerational equity for utility streams and a countable set of agents. A numerical social welfare function is invariant to ordinal transformation, satis es a weak monotonicity condition, and an invariance with respect to concatenation of utility streams if and only if it is either the sup, inf, lim sup, or lim inf.
منابع مشابه
Some Inequalities on Statistical Summability
We prove some inequalities related to the concepts of C1(st) -conservative matrices, C1(st) lim sup and C1(st) lim inf which are natural analogues of (c, st ∩ l∞) -matrices, st lim sup and st lim inf respectively.
متن کاملA Remark on (C,1) Means of Sequences
tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Let (s n) be a real sequence, let (σ n) denote the sequence of averages of its first n partial sums. Let lim sup n σ n = β and lim inf n σ n = α, where β = α. We prove that lim sup n s n = β and lim inf n s ...
متن کاملSolution of the 5th Homework
Let un sup(ak )∞ k n and vn sup(bk ) ∞ k n be suprema. Then the following obvious relation ak ≤ un and bk ≤ vn , ∀k ≥ n ⇒ ak + bk ≤ un + vn , ∀k ≥ n shows that, upon taking the supremum over all k with k ≥ n, we get sup(ak + bk )∞ k n ≤ un + vn . This shows that for any n ≥ m, we get lim sup k→∞ (ak + bk ) inf j: j≥m sup(ak + bk )∞ k j ≤ sup(ak + bk ) ∞ k n ≤ un + vn Since we know that (un )∞ n...
متن کاملInfinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems
and Applied Analysis 3 Our main result is the following theorem. Theorem 1.1. Suppose that F t, x satisfies assumptions (A) and 1.7 . Assume that lim sup r→ ∞ inf x∈RN,|x| r |x|−2α ∫T 0 F t, x dt ∞, 1.8 lim inf R→ ∞ sup x∈RN,|x| R |x|−2α ∫T 0 F t, x dt −∞. 1.9
متن کاملPositive Solutions for a Second-Order p-Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters
and Applied Analysis 3 The rest of the paper is organized as follows: in Section 2, we state the main results of problem (7). In Section 3, we provide some preliminary results, and the proofs of the main results together with several technical lemmas are given in Section 4. The final section of the paper contains an example to illustrate the theoretical results. 2. Main Results In this section,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Social Choice and Welfare
دوره 32 شماره
صفحات -
تاریخ انتشار 2009