Proof of Theorem 7 Existence: By Remark 3 and Lemma 5, the Banzhaf value satisfies 2ST2 and 2D. By Lehrer (1988, Remark 3), it satisfies 2E. Uniqueness: Let \(\varphi\) be a solution for \({\mathbb {V}}\) that satisfies 2ST2 or 2D and 2E. By Lemma 8, the solution \(\varp...
Harter’s Self-Perception Questionnaire.Harter (1982, 1988)developed a set of measures to assess children’s, adolescents’, and adults’ competence in different domains. In attempt to reduce social desirability of responses, Harter worded her items in the following manner: “Some children/teenagers...
Grand Metropolitan was one of the first companies to recognize this potential when, in August 1988, it arrived at an assessment of £565 million in respect of the brands, such as Smirnoff Vodka, it had acquired during the previous three years. This was followed shortly in November of that...
(Arin and Inarra, 1988) and assignment games (Solymosi and Raghavan, 1994) also lend themselves to explicit calculations. There are also domains of games on which a particular solution or value may coincide with one that is usually easy to calculate. We identify below a domain for which the...
In Chap. 17 we have seen that the Shapley value of a game does not have to be in the core of the game, nor even an imputation (Problem 17.5). In this chapter we introduce a set-valued extension of the Shap
Examples are the various solution notions in cooperative game theory, and the properties for the linkages between these (Driessen, 1988), i.e., particularly the kernel, nucleolus, bargaining set, core, the von Neumann–Morgenstern solution (also known as the stable set), the Shapley value (...
We study the non-local reaction–diffusion system with Neumann boundary conditions $$\begin{aligned}& u_{t}(x,t)= \int_{\Omega }J(x-y) \bigl(u(y,t)-u(x,t)\bigr)\,dy+v^{p}(x,t), \quad (x,t)\in \Omega \times (0,T), \\& v_{t}(x,t)= \int_{\...
Academic Press, London (1988) MATH Google Scholar Zeidler, E: Nonlinear Functional Analysis and Its Applications - I: Fixed-Point Theorems. Springer, New York (1986) Book MATH Google Scholar Krasnosel’skiĭ, MA, Zabreĭko, PP: Geometrical Methods of Nonlinear Analysis. Springer, ...
1988 Ghajar and Toh [34] Separan AP-273 (10 ppm - 500 ppm) Turbulent A drastic reduction of Nusselt number was observed. 1995 Fossa and Tagliafico [35] Turbulent Polymer solutions may be applicable in district heating and cooling systems; 2020 Varnaseri and Peyghambarzadeh[36] polyacrylamide...
In Dynamics of Curved Fronts, 1988 The Eigenvalue Problem. The determination of the eigenvalues C is a problem of mathematics. A numerical approach (Benamar and Moussallam [57]) leads to the conclusion that there are no solutions to the eigenvalue equation either in the bidimensional or the ...