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October 22, 2015

Thursday, October 22, 2015

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Tonight, for the first time, two consecutive responses were stuff I’ve covered on #TDIH! Next up: the whole board.

The Final Wager – October 22, 2015

Those clues were the $600 (today!) and $800 (Monday!) values in AMERICAN HISTORY.

Another fun, tight game tonight – and when Dennis got the last $1,600 clue, he changed it from an evenly-spaced scores scenario to a Stratton’s Dilemma.

Dennis

Golin

Philip

Clark

Jennifer

Robinson

14,100 12,000 13,000

Tonight’s Final Jeopardy! category is:

THE CIVIL WAR

In my view, Alex was far too aggressive in reminding everyone that Jennifer looooooves the Civil War.

I’m guessing there’s little doubt as to what she’s going to do, but I’ll go through the full range of wagers anyway.

First-order calculations

Jennifer is caught between covering Philip and staying above Dennis on the downside.

Dennis
Philip
Jennifer
14,100 12,000 13,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
11,900 9,800 11,000*
10,800
9,900

Second-order analysis

If Jennifer wants to play mind games with Philip – and prevent a loss on the downside against Dennis on a triple-stumper – she can go for 8,800. Philip can further restrict his wager in kind.

Dennis
Philip
Jennifer
14,100 12,000 13,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
11,900 7,800 11,000*
9,800 8,800 10,800
9,900

Zero wagers

Score differences:
Dennis and Jennifer: 1,100
Dennis and Philip: 2,100
Jennifer and Philip: 1,000

Dennis
Philip
Jennifer
14,100 12,000 13,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
11,900 12,100 4,200 7,800 11,000*
9,900 9,800 8,800 10,800
1,100 1,000

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

What actually happened

Dennis Philip Jennifer
14,100 12,000 13,000
13,000 8,000 13,000
27,100 20,000 26,000
min max min max min max
11,901 12,099 4,201 7,799 13,000
9,901 9,799 8,801 10,799
1,099 999

Normally, if I’m Dennis, I hold on to more money, just in case Jennifer goes for the bare-minimum $11,001 wager. I’m fine with what he did here, though – particularly as he’s won $59,099 in just two games. Nice job!

The Final Jeopardy! clue

THE CIVIL WAR
THERE WERE ABOUT 900 CASUALTIES IN THE 1862 BATTLE OF SECESSIONVILLE, FOUGHT IN THIS STATE

[spoiler]What is South Carolina?[/spoiler]

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