The class of bounded variation bvF (u, v) of fuzzy numbers introduced by [8] has been investigated further with the help of the generalized weighted mean matrix G(u, v). Imposing some restrictions on the matrix G(u, v), we have established it’s relation with different class of sequences such as our known classical sets, set of all statistically null difference sequences, Cesaro sequences etc. A...

This paper studies a dynamic adjustment process in a large society of forward-looking agents where payoffs are given by a normal form supermodular game. The stationary states of the dynamics correspond to the Nash equilibria of the stage game. It is shown that if the stage game has a monotone potential maximizer, then the corresponding stationary state is uniquely linearly absorbing and globall...

A new model of strategic networking is developed and analyzed, where an agent’s investment in links is nonspecific. The model comprises a large class of games which are both potential and superor submodular games. We obtain comparative statics results for Nash equilibria with respect to investment costs for supermodular as well as submodular networking games. We also study supermodular games wi...

Fictitious play is the oldest and most studied learning process for games. Since Robinson’s (1951) classical result for zero-sum games, convergence of beliefs to the set of Nash equilibria has been established for some important classes of games, most notably 2×2 games (Miyazawa, 1961), weighted potential games (Monderer and Shapley, 1996), and supermodular games with diminishing returns (Krish...

In this study, we investigate the norm of difference operator on some sequence spaces such as Hilbert and Cesaro matrix domains. Therefore present study is a complement for those results obtained in [1].

• Introduction of dissipative weak solutions for the Euler equations in framework high-order FE methods. First investigation convergence schemes terms equations. Consistency analysis DG methods without any underlying smoothness assumptions. Recipe obtaining a result solutions. Numerical validation using Cesaro averages Kelvin–Helmholtz problem. In this paper, we present finite element based met...