Abstract
In this chapter we present a simplicial variable dimension restart algorithm to solve the equilibrium problem (EP) with respect to a function z on Sn. There are two rays to leave the arbitrarily chosen starting point. The algorithm is in a sense closely related to the ideas presented by Walras [1874]. Walras describes an economy with n+1 commodities having an auctioneer who changes prices. First the price of commodity 1 is changed until the excess demand of this commodity becomes zero. Then the auctioneer repeats this procedure for commodity 2 and so on until the last commodity. Since the auctioneer changes only one price at a time, a commodity which had zero excess demand in general does not remain in such an equilibrium situation. Moreover, convergence to an equilibrium is not assured.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Doup, T.M. (1988). The 2-Ray Algorithm. In: Simplicial Algorithms on the Simplotope. Lecture Notes in Economics and Mathematical Systems, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46651-9_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-46651-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50233-3
Online ISBN: 978-3-642-46651-9
eBook Packages: Springer Book Archive