# The Undetermined Game

How do you construct a game where neither player has a winning strategy?

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# Author: VV

# The Undetermined Game

Featured # Does Every Game have a Winner?

# What does this infinite trigonometric identity have to do with probability?

# A Devious Bet 2: Law of Large Numbers

# Arrow’s Theorem (or: How I Learned to Stop Worrying and Love Dictatorships)

# Update #2

# 5 Holiday Math Puzzles

# The Paradox of Periodicity (of Functions)

# Why does this fraction give the Fibonacci sequence? It’s no coincidence

# Quick Update

How do you construct a game where neither player has a winning strategy?

Read More The Undetermined GameWhy can a computer always win in tic-tac-toe? Is it true for games in general?

Read More Does Every Game have a Winner?Recently I came across this surprising trigonometric identity…

Read More What does this infinite trigonometric identity have to do with probability?You meet up with a slightly familiar mustached squid “man” He may or may not have bankrupted you infinitely times over in the past, but you’re over it. In fact he has a new deal for you! Every day he will modify your bank balance in one of two ways. With probability 0.6, your balance […]

Read More A Devious Bet 2: Law of Large NumbersElections never really feel fair (or, if talking about the electoral college, are never fair) Here is an example, say there is an internal election in some political party, to determine the order of members of the party. To do so, each voter votes for their favorite party member, and the party members are ranked […]

Read More Arrow’s Theorem (or: How I Learned to Stop Worrying and Love Dictatorships)Hi Currently I am rather busy and don’t have much time for making more posts. Unfortunately I am not sure there will be one this month 🙁 Suggestions for what to cover next will be appreciated!

Read More Update #2Happy Holidays! Here are a couple Christmas and Hanukkah puzzles just for you: The 2n-Menorah: In an alternate universe, instead of the flask in the temple lasting for just 8 days, it lasted for 2n days for a positive integer n. Thus, Hanukkah in that universe is celebrated for 2n days, and the menorah has […]

Read More 5 Holiday Math PuzzlesYou know periodic functions right? Functions that after a certain place start repeating, for example sin(x): More formally, a function f is called periodic is for some constant p>0, f(x+p)=f(x). In other words, shifting by p does not affect f(x). The constant p will be called the period of the function (sometimes we say f […]

Read More The Paradox of Periodicity (of Functions)You may have seen one of the following viral math facts: The first fraction seemingly gives the Fibonacci numbers. That is, the sequence of numbers that starts with 1, then 1, then each successive term is the sum of the two prior terms. So the first few Fibonacci numbers are 1,1,2,3,5,8,13,21,… Which appear on the […]

Read More Why does this fraction give the Fibonacci sequence? It’s no coincidenceHi I started grad school recently so I am not sure when I will have time to work on this blog as I am very busy :/ I will try, however, to at least get a new post out this month, suggestions for topics to cover would be appreciated

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