MA19.FM.24

Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.24

Identify issues of fairness for different methods of determining a winner using a preferential voting ballot and other voting systems and identify paradoxes that can result.

Unpacked Content

Knowledge

Students know:

  • How to determine election winners using a variety of methods.

Skills

Students are able to:

  • Discuss the fairness of a voting method based on Arrow’s conditions (Identify how a method may violate one or more of Arrow’s conditions using specific voter preference data)

Understanding

Students understand that:

  • Commonly used group ranking methods are flawed.

Vocabulary

  • Arrow's fairness conditions
  • Arrow's Theorem
  • Condorcet Paradox
  • Paradox

COS Examples

Example: Arrow’s Theorem

ALSDE LOGO

This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Alabama Learning Exchange © 2002-2023 by Alabama State Department of Education is licensed under Attribution-NonCommercial-ShareAlike 4.0 International

Design by Adaptive Theme