Part 1a - Introduction, Deductive and Inductive
Reasoning

Common Origins of Mathematics and
Democracy

Part 1b - Fairness Criteria and Methods of Voting

Part 2 - Examples of Voting Methods

Part 3 - Problems with Voting, Criteria for Voting

Example: Plurality Fails IIA

Part 4 - Problems with Approval Voting & Arrow's
Impossibility Theorem

Example: The Voting Paradox of Condorcet

Proving Criteria False

List of Voting Criteria

Real-life example of
Sequential Pairwise Voting

Common Test #1 mistakes

Additional example questions on voting

Electing the President in
Plain English (video)

Presidential
Election Process and The
2008 Election

The
Electoral College and Ending
the Electoral College

Primary Elections
and Caucuses

Delegates and Superdelegates

electoral-vote.com - Election
Predictions

www.fivethirtyeight.com - Polling
Analysis

www.americanpast.org - Historical
Voting Data

Counting Techniques

Part 1 - Weighted Voting Systems

Part 2 - Banzhaf
Index

Part 3 - Shapley-Shubik
Index

Part 4 - Minimal Winning Coalitions

Theorem: Equal Weight Implies Equal
Power

Calculating power in large systems

Calculating Power in
Large Systems - Another Example

Classification of Weighted Voting
Systems with Four Voters

Practicing calculating
power with large systems

Part 1 - Introduction to Apportionment

Part 2 - Hamilton's Method

Part 3 - Jefferson's Method

Part 4 - More on History

Part 5 - Webster's Method

Part 6 - Huntington-Hill Method

Part 7 - Which Method is Better?

Paradoxes of Apportionment

Examples of Paradox in Apportionment

More Examples of Paradox in
Apportionment

Apportionment
- Overview

Excel file - apportionment
calculator

Excel file - current U.S.
apportionment

Part 1 - Introduction to Game Theory

Part 2 - Zero Sum Games

Part 3a - The Minimax Theorem

Part 3b - Finding Mixed Strategy Saddle Points

Part 3c - A Formula for Mixed Strategy Saddle
Points

Part 4 - Dominant Strategies

Part 5 - Nash's Theorem

Examples

http://www.gametheory.net

Part 1 - the Adjusted Winner Procedure

Part 2 - the Knaster
Inheritance Procedure

Part 3 - Taking Turns and Divide and Choose

Part 4 - Divide and Choose with more than 2
players

Part 5 - Defining Fairness

Additional notes on the
Selfridge-Conway fair division method

Selfridge-Conway fair division
method is envy-free

Additional example questions on fair
division

Statistics:

http://www.trettel.com/ccrc/essays/essay9.html

http://www.learner.org/interactives/statistics/activity0/frontpoll.phtml

Nassau County Weighted voting systems:

nassau_1958.xls

nassau_1964.xls

nassau_1970.xls

nassau_1976.xls

nassau_1982.xls

Florida Congressional Districts

Individual
Maps of Congressional Districts

South Florida Congressional Representatives:

District 17: Kendrick Meek

District 18: Ileana Ros-Lehtinen

District 19: Robert Wexler

District 20: Debbie Wasserman Schultz

District 21: Lincoln Diaz-Balart

District 22: E. Clay Shaw, Jr.

District 23: Alcee Hastings

District 25: Mario Diaz-Balart

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