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January 28, 2015

The Final Wager – Wed 28 Jan 2015

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You can tell Alex isn’t too happy about tonight’s game.The Final Wager – January 28, 2015

“Low scores today” is about as close as our venerable host can get to outright derision without crossing that line.

Christine Kim Marissa Edelman Andrew Smith
3,400 7,400 8,800

Tonight’s Final Jeopardy! category is:

MEDIEVAL LITERATURE

First-order calculations

Second doubles up

If Marissa doubles her score, she’ll have 14,800. To cover this all-in wager, Andrew will need to wager 6,000.

An incorrect response with that wager will leave Andrew with 2,800. To stay above his total, Marissa can wager up to 4,600. Christine can wager up to 600.

Third doubles up

A successful doubling will put Christine at 6,800.

To stay above her, Marissa can wager at most 600. Andrew could wager at most 2,000.

Second-order calculations

Quasi-Shoretegic wagers

If Marissa chooses to stay above a double-up by Christine, she will have at most 8,000.

Andrew can stay above that total by wagering no more than 800. Marissa will need to wager at least 2,200 to account for this.

Second’s max vs. first

If Marissa makes the rational maximum wager of 4,600, Andrew will need to wager 3,200 to cover her.

If he’s wrong with that wager, he’ll be left with 5,600. To stay above him, Marissa can wager up to 1,800. Christine might consider wagering everything; in fact, I prefer this.

Third’s max vs. first

Christine could go for that 600 wager; if she’s right, she’ll have 4,000.

Marissa would max out at 3,400, while Andrew would cap his wager at 4,800.

Zero wagers

Marissa can make cover and unsafe-cover wagers against Andrew.

What actually happened

Marissa is sandwiched between two good wagering ranges. The problem here is she doesn’t cover the 799 Andrew could put at risk for our quasi-Shoretegic range.

Yes, we might be getting a bit too technical, but the math is the math.

The Final Jeopardy! clue

MEDIEVAL LITERATURE

CHARACTERS IN THIS EPIC 4,002-LINE POEM INCLUDE COUNT OGIER, DUKE THIERRY AND ARCHBISHOP TURPIN OF REIMS

Correct response: Show

 

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