Against Prediction: Profiling, Policing, and Punishing in An Actuarial Age

By Bernard E. Harcourt | Go to book overview
Save to active project

Appendix B

MATHEMATICAL PROOFS REGARDING THE ECONOMIC MODEL OF RACIAL PROFILING

To make these proofs as accessible as possible to a general audience, I discuss elasticity in terms of changes in magnitude rather than derivatives. This allows me to present the equations using simple algebra instead of calculus. The logic and results, however would be identical using derivatives and point elasticity. For the most precise model using derivatives, see pages 132–33 above.


Under Conditions of Equal and Constant Elasticity of Offending to Policing

Assuming resource constraint, racial profiling will decrease the profiled crime under conditions of equal and constant elasticity of offending to policing if the minoritymotorist offending rate is greater than the white-motorist offending rate. This can be derived from the definition of elasticity.

For purposes of notation, let r ∈{M, W}denote the race of the motorists, either minority or white. Let Poprdenote the representation of each racial group in the total population. Let Ordenote the offending rate of each racial group. Let Or denote the absolute valueof the change in the offending rate of the racial group from Time 1 (no racial profiling) to Time 2 (racial profiling). Let Irdenote the internal search group rate for each racial group. Let Irdenote the absolute value of the change in the internal search rate for each racial group from Time 1 to Time 2. Let Sdenote the search rate for the total population.

From the definition of elasticity, if minority and white motorists have the same and constant elasticity, then the following is true:

-261-

Notes for this page

Add a new note
If you are trying to select text to create highlights or citations, remember that you must now click or tap on the first word, and then click or tap on the last word.
Loading One moment ...
Project items
Notes
Cite this page

Cited page

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

Cited page

Bookmark this page
Against Prediction: Profiling, Policing, and Punishing in An Actuarial Age
Settings

Settings

Typeface
Text size Smaller Larger
Search within

Search within this book

Look up

Look up a word

  • Dictionary
  • Thesaurus
Please submit a word or phrase above.
Print this page

Print this page

Why can't I print more than one page at a time?

While we understand printed pages are helpful to our users, this limitation is necessary to help protect our publishers' copyrighted material and prevent its unlawful distribution. We are sorry for any inconvenience.
Full screen
/ 336

matching results for page

Cited passage

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

Cited passage

Welcome to the new Questia Reader

The Questia Reader has been updated to provide you with an even better online reading experience.  It is now 100% Responsive, which means you can read our books and articles on any sized device you wish.  All of your favorite tools like notes, highlights, and citations are still here, but the way you select text has been updated to be easier to use, especially on touchscreen devices.  Here's how:

1. Click or tap the first word you want to select.
2. Click or tap the last word you want to select.

OK, got it!

Thanks for trying Questia!

Please continue trying out our research tools, but please note, full functionality is available only to our active members.

Your work will be lost once you leave this Web page.

For full access in an ad-free environment, sign up now for a FREE, 1-day trial.

Already a member? Log in now.

Are you sure you want to delete this highlight?