A study of the existence of equilibrium in mathematical economics

Xotyeni, Z. G. (2008) A study of the existence of equilibrium in mathematical economics. Masters thesis, Rhodes University.




In this thesis we define and study the existence of an equilibrium situation in which producers maximize their profits relative to the production vectors in their production sets, consumers satisfy their preferences in their consumption sets under certain budget constraint, and for every commodity total demand equals total supply. This competitive equilibrium situation is referred to as the Walrasian equilibrium. The existence of this equilibrium is investigated from a various mathematical points of view. These include microeconomic theory, simplicial spaces, global analysis and lattice theory.

Item Type:Thesis (Masters)
Additional Information:M.Sc. (Mathematics)
Uncontrolled Keywords:Preference relation, Consumption set, Commodity bundle, Utility function, Production, Walrasian equilibrium, Fixed points, Welfare economics, Feasible allocation, Pareto optimality, Simplicial structure, Simplicial spaces, Signatures, Submanifold, Demand and Supply, Posets, Lattices, Complete lattices
Subjects:Y Unknown > Subjects to be assigned
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
Supervisors:Lubczonok, G. (Dr.)
ID Code:1114
Deposited By: Mrs Carol Perold
Deposited On:29 Sep 2008
Last Modified:06 Jan 2012 16:19
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