extensions of Fekete's lemma that do not require the definition of superadditivity above to hold for all m {\displaystyle m} and n . {\displaystyle n...
the sets separately. This definition is analogous to the notion of superadditivity for real-valued functions. It is contrasted to subadditive set function...
superadditivity holds without rate superadditivity. Note that the term superadditive development is usually not used to mean density superadditivity:...
{\displaystyle S\subseteq T\Rightarrow v(S)\leq v(T)} . This follows from superadditivity. i.e. if payoffs are normalized so singleton coalitions have zero value...
their formulation of cumulative prospect theory. Nonlinear expectation Superadditivity Subadditivity Choquet, G. (1953). "Theory of capacities". Annales de...
limit whose existence is stated in Fekete's lemma if some kind of both superadditivity and subadditivity is present. Besides, analogues of Fekete's lemma...
greater than the sum of rates of development by each agent used alone (superadditivity). This combination is very versatile; by varying the quantities of...
fractional Brownian motion. The Choquet integral, a subadditive or superadditive integral created by the French mathematician Gustave Choquet in 1953...
Centre National de la Recherche Scientifiques. Alzer, Horst (2009). "A superadditive property of Hadamard's gamma function". Abhandlungen aus dem Mathematischen...
u(\{X,Y\})+u(\{Y,Z\})<u(\{X,Y\}\cup \{Y,Z\})+u(\{X,Y\}\cap \{Y,Z\}).} Superadditivity means that for every pair of disjoint sets A , B {\displaystyle A,B}...
( 0 ) ≤ 0 {\displaystyle f(0)\leq 0} , then f {\displaystyle f} is superadditive on the positive reals, that is f ( a + b ) ≥ f ( a ) + f ( b ) {\displaystyle...
compared to the sum of each single modality together, an effect called the superadditive effect of multisensory integration. Neurons that respond to both visual...
absolutely homogenousPages displaying wikidata descriptions as a fallback Superadditivity Proofs Let x ∈ X . {\displaystyle x\in X.} The triangle inequality...
\limsup _{n\to \infty }b_{n}.} Analogously, the limit inferior satisfies superadditivity: lim inf n → ∞ ( a n + b n ) ≥ lim inf n → ∞ a n + lim inf n → ∞...
share is worth even more. On the contrary, when the valuations are only superadditive, PR still implies EF with two partners, but EF no longer implies PR...
\varphi _{i}(v)\leq v(\{i\})} . Similarly, if v {\displaystyle v} is a superadditive set function, i.e., v ( S ⊔ T ) ≥ v ( S ) + v ( T ) {\displaystyle v(S\sqcup...
particular p. 112. Holme, Audun; Roberts, Joel (1994), "Zak's theorem on superadditivity", Arkiv för Matematik, 32 (1): 99–120, Bibcode:1994ArM....32...99H...
(\varnothing )=0} then μ {\displaystyle \mu } is finitely subadditive. superadditive if μ ( E ) + μ ( F ) ≤ μ ( E ∪ F ) {\displaystyle \mu (E)+\mu (F)\leq...
developer, and D-96 motion picture negative developer. Hydroquinone is superadditive with metol, meaning that it acts to "recharge" the metol after it has...
of fractionally-subadditive valuations. When agents' utilities are superadditive set functions (more general than supermodular), a ( log m ) 1 + ϵ...
which the value of f (x + y) is less than or equal to f (x) + f (y). Superadditive function: for which the value of f (x + y) is greater than or equal...
Goldengorin. Pseudo-Boolean function Topkis's theorem Submodular set function Superadditive Utility functions on indivisible goods The equivalence between the definition...
its conclusion stops short of showing σ {\displaystyle \sigma } being superadditive. Yet, Schnirelmann provided us with the following results, which sufficed...
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