PJO: Discrete modeling of economic equilibrium problem



		Volume 6, Number 1, January 20109, pp. 57-64
	Takuya Iimura
	Key words:
	integer lattice, discrete fixed point, indivisible goods, Walras law
Mathematices Subject Classification: 90C10, 91B02, 91B50


	Abstract:
	An application of discrete fixed point theorems to a Walrasian market equilibrium problem is presented, with a particular emphasis on the versatile notion of ``direction preserving property'' used in the theorems. Two variations of the model are also presented, one by using a new equilibrium concept and the other by introducing a numéraire, to overcome the potential lack of strict Walras law under the indivisibility of goods.