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Displaying 121 –
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Turnpike theorems deal with the optimality of trajectories reaching a
singular solution, in calculus of variations or
optimal control problems.
For scalar calculus of variations problems in infinite horizon, linear with
respect to the derivative, we use the theory of viscosity solutions of
Hamilton-Jacobi equations to obtain a unique characterization of the value
function.
With this approach, we extend for the scalar case the classical result based on
Green theorem, when there is uniqueness of...
There exist several possibilities of fuzzification of a coalitional game. It is quite usual to fuzzify, e. g., the concept of coalition, as it was done in [1]. Another possibility is to fuzzify the expected pay-offs, see [3, 4]. The latter possibility is dealt even here. We suppose that the coalitional and individual pay-offs are expected only vaguely and this uncertainty on the input'' of the game rules is reflected also by an uncertainty of the derived output'' concept like superadditivity, core,...
Given a graph H and an integer r ≥ 2, let G → (H,r) denote the Ramsey property of a graph G, that is, every r-coloring of the edges of G results in a monochromatic copy of H. Further, let and define the Ramsey density as the infimum of m(G) over all graphs G such that G → (H,r). In the first part of this paper we show that when H is a complete graph Kₖ on k vertices, then , where R = R(k;r) is the classical Ramsey number. As a corollary we derive a new proof of the result credited to Chvatál...
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