Archives

Categories

Can You Solve The Code Lock Puzzle? Sunday Puzzle

I got this interesting puzzle by email. A safe has a code lock that unlocks if you input the correct four digits, in any order. The lock has a keypad the digits 0, 1, 2, …, 9. For example, suppose the unlock code is 1000. The safe will open for any order you input the … Continue reading Can You Solve The Code Lock Puzzle? Sunday Puzzle Read more ›

Voting Paradox: How Voting Systems, Not Preferences, Can Determine Elections (Ft. PBS Infinite Series). Game Theory Tuesdays

Let’s say there is an election with 5 candidates A, B, C, D, E. You obtain a list from each voter with an honest ranking of the 5 candidates. The voters all fall into six categories of rankings, with the following frequencies. The preferences are from most favorable to least favorable candidate. (candidates from most … Continue reading Voting Paradox: How Voting Systems, Not Preferences, Can Determine Elections (Ft. PBS Infinite Series). Game Theory Tuesdays Read more ›

The Seemingly Impossible Guess The Number Logic Puzzle

Long time readers may recognize this previously posted problem as will people who have read my book Math Puzzles Volume 1. Alice and Bob are on a game show. Each is secretly told a whole, positive number. They are told the two numbers are consecutive, but neither knows the other person’s number. For example, if … Continue reading The Seemingly Impossible Guess The Number Logic Puzzle Read more ›

Who Wins Tic-Tac-Toe, If The Second Player Wins Only For Ties? Ft. ScamSchool. Game Theory Tuesdays

In standard tic-tac-toe, player one (X) and player two (O) are each trying to make 3 in a row. If both play optimally, the game ends in a draw. Now consider a variation: player one wins if either Xs or Os make 3 in a row, and player two wins only if the board ends … Continue reading Who Wins Tic-Tac-Toe, If The Second Player Wins Only For Ties? Ft. ScamSchool. Game Theory Tuesdays Read more ›

Genius Strategic Thinking In The 1976 NBA Finals. Game Theory Tuesdays

I originally published this post in 2014. With the 2017 NBA Finals underway, I am re-posting it with slight edits and updates It’s double overtime in the NBA finals. There’s one second left on the clock, your team is down by 1, you have possession under your own basket with no time-outs. You have to … Continue reading Genius Strategic Thinking In The 1976 NBA Finals. Game Theory Tuesdays Read more ›