in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

The revelation principle is a fundamental theorem in many economics fields. In this paper, we construct a simple labor model to show that a social choice function which can be implemented costly in Bayesian Nash equilibrium may not be truthfully implementable. The key point is the strategy cost condition given in Section 4: In the direct mechanism, each agent only reports a type and will not pa...

The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of...

Individual choice of labour supply and fertility is studied, in a simple multi-generational general equilibrium model in which behaviour may be determined by genes. Equilibrium concepts from economics (Nash equilibrium) and biology (evolutionary stability) are linked in three propositions.  2000 Elsevier Science S.A. All rights reserved.

* Correspondence: lds1010@sina. com School of Economics and Management, University of South China, Hengyang, Hunan 421001, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the...

This note contributes to the discussion of decision problems with imperfect recall from an empirical point of view. We argue that, using standard methods of experimental economics, it is impossible to induce (or control for) absent–mindedness of subjects. Nevertheless, it is possible to test Gilboa’s (1997) agent–based approach to games with imperfect recall. We implement his model of the absen...

The purpose of this note is to point out some simple mathematical errors in the article "Indirect reciprocity with optional interactions" (Journal of Theoretical Biology 365 (2015) 1–11) by Whan Ghang and Martin Nowak, which a¤ect their results and conclusions. We note various ways that these errors could be …xed, but all require fundamental revisions of their model and lead to counterintuitive...

In this article, I review two recent developments in the theory of computation of general equilibria. First, following Brown, DeMarzo and Eaves (1996) several papers have developed globally convergent algorithms for the computation of general equilibria in models with incomplete asset markets. I review some of the developments in that area. Second, new developments in computational algebraic ge...

Game theory is a discipline aimed at modeling situations in which decision makers have mutual, possibly conflicting interests. Although originally developed in the field of economics, it has also been applied to wireless networking design in the past several years. Some of the competitive environment in wireless networks lends itself naturally to a game theoretic formulation. In this paper, we ...

The main stimulus for this paper is that despite the early recognition of the need to incorporate a functional role for entrepreneurship in economics, this functional role has been absent in the modern theory of microeconomics, which largely adheres to neo-classical general equilibrium economics. This survey article, which focuses on the entrepreneur in economics shows that the strict assumptio...