The attempt to make economics computational is not new, given that economics is by nature both mathematical and quantitative. The use of computational models is so prevalent that one can hardly see the need to disentangle a field called computational economics from other branches of economics, let alone even bother to ask what it is. On their Web site, the Society of Computational Economics pro...

       In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these eq...

The concept of equilibrium states has played a decisive role in the development of quantitative sciences. The study of mechanical equilibrium, conceived as a balancing of forces in a static system, clarified the fundamental notions of force and mass in the course of the 17th century development of Newtonian physics. The 19th century saw the emergence of characteristically statistical descriptio...

The concept of Nash equilibriumhas become central to the theory and practice of economics. In these remarks I would like to reflect a bit on why this has come to happen. Interestingly enough the founding treatise of the theory of games (The Theory of Games and Economic Behaviour, published in 1944 and authored by a mathematician J. von Neumann and an economist O. Morgernstern) had, for practica...

Although the economics of secession is still in its infancy (Spolaore, 2010; Bordignon, 2010) as a specific field of economics science, some very interesting contributions have been made in the last fifteen years about this issue. The general discussion focuses essentially in the trade off between the benefits of size versus the costs of heterogeneity. The precise equilibrium point of this trad...

this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

This paper is investigating that:" resurging evolution of economic thought, EET, is brilliantly in direction with eminence of substantive elements of economics itself". It presupposes that the substantive elements of economics embraces the following package: 1- maintaining on some epistemic doctrines, including rationality, efficiency and equilibrium.2-dynamic characteristic of economic theorie...

The Hahn–Banach Theorem plays a crucial role in the second fundamental theorem of welfare economics. To date, all mathematical economics and advanced general equilibrium textbooks concentrate on using non-constructive or incomputable versions of this celebrated theorem. In this paper we argue for the introduction of constructive or computable Hahn–Banach theorems in mathematical economics and a...

We define a concept of status equilibrium for local public good economies. A status equilibrium specifies one status index for each agent in an economy. These indices determine agents’ cost shares in any possible jurisdiction. We provide an axiomatic characterization of status equilibrium using consistency properties. ∗We thank James Foster, John Conley, Rick Bond, and participants of PET05 for...

This report includes a modern account of welfare economics and competitive equilibrium theory. In particular, competitive, or Walrasian, equilibrium is defined. Moreover, existence, optimality, and uniqueness are demonstrated. However, no reliable mechanism for computing equilibrium prices is suggested. At this stage, the problem shifts from the realm of economics to an algorithmic problem in c...