Tuesday, June 30, 2015

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Oxygen deprivation (from the treadmill) + bad play (from the television) = my mind has some problems.

First and foremost, I want to apologize to Adrian for getting his name wrong in the video. As you can imagine, I didn’t feel like recording this afresh after I was done.

Second: did anyone want to win this game? Sure didn’t seem like it.

Brandon Powell	Amy Hollis	Adrian Perez
12,400	6,200	11,600

Still, someone’s going to win (and probably bring a total lack of aggression to Wednesday’s game) based on this category:

FAMOUS WOMEN

Let’s get this over with.

First-order calculations

Second doubles up

If Adrian doubles his score, he’ll have 23,200.

To cover this all-in wager, Brandon will need to wager 10,800.

Brandon		Amy		Adrian
12,400		6,200		11,600
10,800				11,600
23,200				23,200
min	max	min	max	min	max
10,800

An incorrect response with that wager will leave Brandon with 1,600.

To stay above his total, Adrian can wager up to 10,000.

Amy can wager up to 4,600.

Brandon		Amy		Adrian
12,400		6,200		11,600
10,800		4,600		10,000
1,600		1,600		1,600
min	max	min	max	min	max
10,800			4,600		10,000

Third doubles up

A successful doubling will put Amy at 12,400.

To cover this, Adrian should wager at least 800.

Brandon could wager at most 0. Now things are getting spicy.

Brandon		Amy		Adrian
12,400		6,200		11,600
0		6,200		800
12,400		12,400		12,400
min	max	min	max	min	max
10,800			4,600		10,000
				800
0

Amy would need to wager at least 4,600 against Adrian, and things are even spicier. (She could also wager everything – not a dollar less – if she fears a zero out of Brandon.)

Brandon		Amy		Adrian
12,400		6,200		11,600
		4,600		800
		10,800		10,800
min	max	min	max	min	max
10,800		4,600	4,600		10,000
				800
	0	6,200

Here’s where things stand after the first order:

Brandon		Amy		Adrian
12,400		6,200		11,600
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
10,800		4,600	4,600		10,000
				800
	0	6,200

Second-order calculations

Third’s max vs. first

If Amy goes for that 4,600 wager, Brandon could wager up to 1,600, and Adrian up to 800 – hot, hot, hot!

Brandon		Amy		Adrian
12,400		6,200		11,600
1,600		4,600		800
10,800		10,800		10,800
min	max	min	max	min	max
10,800		4,600	4,600		10,000
	1,600			800	800
	0	6,200

 

Adrian should wager at least 2,400 to cover that possibility from Brandon.

Brandon		Amy		Adrian
12,400		6,200		11,600
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
10,800		4,600	4,600	2,400	10,000
	1,600	6,200		800	800
	0

Zero wagers

Score differences:
Brandon and Adrian: 800
Brandon and Amy: 6,200
Adrian and Amy: 5,400

Brandon		Amy		Adrian
12,400		6,200		11,600
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
10,800		4,600	4,600	2,400	5,400
	1,600	6,200		800	800
	0

Then we add a dollar to the minimum wagers, and subtract a dollar from the maximum wagers.

What actually happened

Brandon		Amy		Adrian
12,400		6,200		11,600
11,000		6,200		4,600
23,400		12,400		7,000
min	max			min	max
10,801		4,600 !		2,401	5,399
1	1,599	6,200 !		800 !
0 !

All right, so not quite so bad here. But again, someone had to win.

Brandon has now won 2 games and $38,788.

The Final Jeopardy! clue

FAMOUS WOMEN

ON JANUARY 5, 1939, IN A LOS ANGELES PROBATE COURT, THIS NATIONAL HEROINE WAS DECLARED LEGALLY DEAD

[spoiler]Who was Amelia Earhart?[/spoiler]

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