Mathematics | Senioritis

John Rhodes
June 21, 2023
Discrete Math

Arrow’s Impossibility Theorem: The Limitations of Perfect Voting Systems in Decision-Making

Arrow’s Impossibility Theorem A theorem that demonstrates that voting method that is guaranteed to always produce fair outcomes is a mathematical impossibility Arrow’s Impossibility Theorem is a...

John Rhodes
June 21, 2023
Discrete Math

Learn How to Calculate Factorial in Python: A Step-by-Step Guide with Examples

Factorial of N Product of every number, between 1 and N The factorial of a non-negative integer N, denoted by N!, is the product of all the...

John Rhodes
June 21, 2023
Discrete Math

the Importance of the Independence of Irrelevant Alternatives (IIA) Criterion in Decision-Making

Independence-Of-Irrelevant-alternatives criterion if candidate X is the winner, then candidate X should still win even if another candidate is eliminated from the election The independence of irrelevant...

John Rhodes
June 21, 2023
Discrete Math

the Monotonicity Criterion in Decision Theory: Importance and Application in Social Choice Theory

Monotonicity Criterion If candidate X is the winner then X should still win even if they are moved higher on the ballot The monotonicity criterion is a...

John Rhodes
June 21, 2023
Discrete Math

Maximizing Democracy: Instant-Runoff Voting (IRV) – The Election System Revolutionizing the Voting Process

Instant-runoff Voting When you eliminate all but the top two and go from there or variation of the plurality-with-elimination method based on truncated preference ballots Instant-runoff Voting...

John Rhodes
June 21, 2023
Discrete Math

Truncated Preference Ballot: A Convenient Voting System for Large-Scale Elections

Truncated Preference Ballot Voter only ranks 1st through k place (k

John Rhodes
June 21, 2023
Discrete Math

the Plurality Method: Advantages and Disadvantages of the Widely Used Voting System

Plurality Method Highest # of first place votes wins The plurality method is a voting system used to determine the winner in an election. In this method,...

John Rhodes
June 21, 2023
Discrete Math

Maximizing Representation: The Advantages and Potential Disadvantages of Preference Ballots in Elections.

Preference Ballot Voter ranks all candidates from 1st to Nth place A preference ballot, also known as a ranked ballot or ranked-choice voting, is a type of...