Mathematical Economics is closely related with Social Choice Theory. In this paper, an attempt has been made to show this relation by introducing utility functions, preference relations and Arrow’s impossibility theorem with easier mathematical calculations. The paper begins with some...

Using method of Lagrange multipliers, an attempt has been taken in this paper to derive mathematical formulation to devise optimal purchasing policy in order to maximize utility function subject to multiple constrained, in this particular illustration, two constraints: 1) budget constraint, and...

Mathematical Economics, Social Science and Political Science are inter-related. In this paper, an attempt has been made to describe aspects of these subjects by introducing examples, definitions, mathematical calculations and discussions. Game Theory is included in this paper to study...

Using method of Lagrange multipliers and applying first-order necessary conditions as well as second-order sufficient conditions for maximization, an attempt has been made to maximize an output of an agency subject to a nonlinear budget constraint by assuming that the agency gets price discounts...

The median voter theorem is one of the most prominent results of formal political theory and economics, and is widely used to study interactions between them. The median voter is the person in the middle of the distribution on the single dimension and is a more accurate predictor of decision...

This paper deals with global Human Immunodeficiency Virus (HIV)/Acquired Immunodeficiency Syndrome (AIDS) and situation of this disease in Bangladesh. The disease is alarming in poorer areas as like Africa, Latin America, Caribbean islands and some parts of Asia. This paper aware the people who...

This paper deals with Borda count which is sincere voting system and originally proposed by French mathematician and philosopher Jeans-Charles Borda. In Borda count a defeated candidate can manipulate the election result in his favor in sincere way by introducing a candidate which is a clone of...

In this paper an attempt has been taken to describe various types of voting system and manipulation of them. French philosophers Marquis de Condorcet (1743-1794) and Jeans-Charles Borda (1733-1799) introduced modern voting system. Duncan Black first introduced the manipulation of voting in 1958...