A characterization of the existence of generalized stable sets
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 3
Abstract
The generalized stable sets solution introduced by van Deemen (1991) as a generalization of the von Neumann and Morgenstern stable sets solution for abstract systems. If such a solution concept exists, then it is equivalent to the admissible set appeared in game theory literature by Kalai and Schmeidler (1977). The purpose of this note is to provide a characterization for the existence of the generalized stable sets solution.
Authors and Affiliations
Athanasios Andrikopoulos
On Modulo AG-Groupoids
A groupoid G is called an AG-groupoid if it satisfies the left invertive law: (ab)c = (cb)a. An AG-group G, is an AG-groupoid with left identity e 2 G (that is, ea = a for all a 2 G) and for all a 2 G there exists 1...
The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation
This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . Study the attractor problem with init...
Fourier Series Expansions of Powers of the Trigonometric Sine and Cosine Functions
In this paper, Fourier series expansions of powers of sine and cosine functions are established for any possible power real or complex or positive integer. Recurrence relations are established to facilities the computati...
Dual strongly Rickart modules
In this paper we introduce and study the concept of dual strongly Rickart modules as a stronger than of dual Rickart modules [8] and a dual concept of strongly Rickart modules. A module M is said to be dual strongly Rick...
Estimates of Solutions to Nonlinear Evolution Equations
Consider the equation u’(t) = A (t, u (t)), u(0)= U0 ; u' := du/dt (1). Under some assumptions o...