Mathematica MathWorld Wolfram Science More »

HOME

TOPICS

LATEST

Location Theory - Is the Bid Rent Curve Linear?

The bid rent curve for a single user is often modeled as linear. An aggregate of users discloses that the curve is actually convex to the origin because only the portion above any particular crosspoint matters, making the bid rent curve at least piecewise linear. In the limit when the number of users is extremely large, the curve becomes a smooth exponential decay.

Contributed by: Roger J. Brown
Reproduced by permission of Academic Press from Private Real Estate Investment ©2005

Show Initialization Code

(25 lines omitted)

The graphics show five different types of users and how they self-select into different areas based on their transportation costs. Moving the sliders changes the transportation costs and the shape of the bid rent surface composed of the upper portions of a number of bid rent curves. Note how small differences in transportation costs result in subtle changes in the bid rent surface. Also, some combinations of changes will completely eliminate differences between some user types as their transportation costs merge.

More information is available in Chapter One of Private Real Estate Investment and at mathestate.com.

R. J. Brown, Private Real Estate Investment: Data Analysis and Decision Making, Burlington, MA: Elsevier Academic Press, 2005.

Exponential Decay (Wolfram MathWorld)

"Location Theory - Is the Bid Rent Curve Linear?" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LocationTheoryIsTheBidRentCurveLinear/

Contributed by: Roger J. Brown

Mathematica 7 Just Released--Get Mathematica Player 7 Free--Download Now

Browse all topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom