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Mathematics, Volume 7, Issue 1

January 2019 - 110 articles

Cover Story: We study Cournot duopoly as a Bayesian game in which firms are not aware of each other’s marginal production costs. Marginal costs depend on infinite continuous sets of world states. We prove a general Nash bi-trajectory formula, modeling players with infinite types, within Radon probability spaces, via an ad hoc maximization technic. View this paper.
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Articles (110)

  • Article
  • Open Access
7 Citations
3,571 Views
16 Pages

21 January 2019

When facing a multi-period defined contribution (DC) pension plan investment problem during the accumulation phase, the risk aversion attitude of a mean-variance investor may depend on state variables. In this paper, we propose a state-dependent risk...

  • Article
  • Open Access
11 Citations
84,144 Views
17 Pages

21 January 2019

The present work gathers an educational experience based on the application of the personalized Kumon Mathematics Method, carried out in the school year 2015–2016, in which 30,849 students and 230 teachers from several educational centers throu...

  • Article
  • Open Access
1 Citations
3,796 Views
8 Pages

The Characterization of Affine Symplectic Curves in ℝ4

  • Esra Çiçek Çetin and
  • Mehmet Bektaş

21 January 2019

Symplectic geometry arises as the natural geometry of phase-space in the equations of classical mechanics. In this study, we obtain new characterizations of regular symplectic curves with respect to the Frenet frame in four-dimensional symplectic spa...

  • Article
  • Open Access
12 Citations
5,252 Views
6 Pages

20 January 2019

Calculating nodal voltages and branch current flows in a meshed network is fundamental to electrical engineering. This work demonstrates how such calculations can be performed using the eigenvalues and eigenvectors of the Laplacian matrix which descr...

  • Article
  • Open Access
6 Citations
3,359 Views
13 Pages

20 January 2019

In order to solve the Sylvester equations more efficiently, a new four parameters positive and skew-Hermitian splitting (FPPSS) iterative method is proposed in this paper based on the previous research of the positive and skew-Hermitian splitting (PS...

  • Article
  • Open Access
5 Citations
3,919 Views
19 Pages

18 January 2019

Many factors influence the efficiency and quality of transport works. In particular, consultants and construction contractors of these works play important roles, and critical factors directly affect the quality of traffic works. If the quality of co...

  • Article
  • Open Access
9 Citations
3,908 Views
13 Pages

18 January 2019

We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreo...

  • Article
  • Open Access
75 Citations
4,430 Views
10 Pages

Fractional Metric Dimension of Generalized Jahangir Graph

  • Jia-Bao Liu,
  • Agha Kashif,
  • Tabasam Rashid and
  • Muhammad Javaid

18 January 2019

Arumugam and Mathew [Discret. Math. 2012, 312, 1584–1590] introduced the notion of fractional metric dimension of a connected graph. In this paper, a combinatorial technique is devised to compute it. In addition, using this technique the fracti...

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Mathematics - ISSN 2227-7390