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October 7, 2013

Daily analysis, October 7 – An interesting conundrum

Something about our players’ names gives me the feeling I’ll be dropping some four-letter words.

Our returning champ Cori returns to face Marc and Mary. Three four-letter names. Hmm.

Scores going into Final:

Marc: 11,600
Cori: 10,200
Mary: 4,600

This is an unusual situation: Cori has two potential wagers.

  1. She can wager up to 1,000, so as not to fall below Mary’s doubled total of 9,200. But if she does this, she risks losing to a zero wager by Marc.
  2. She can wager at least 1,400 to cover a zero wager by Marc. But she risks falling below an all-in wager by Mary. (She should wager no more than 5,600 to stay above Mary’s zero wager.)

Quite the quandary! But she has some relief. Cori should wager no more than 1,800 so as not to fall below Marc’s rational wager. So Cori should most strongly consider wagering between 1,400 and 3,800.

Marc should wager 8,800
Cori should wager between 1,400 and 3,800 (or, alternatively, at most 1,000)
Mary should wager no more than 1,800

The Final Jeopardy! clue for October 7, 2013:

TOYS
A CAVEMAN-THEMED GAME IN WHICH “ROCKS” WERE THROWN AT OTHER PLAYERS LED TO THE CREATION OF THIS PRODUCT IN 1969

Correct response: What is the Nerf ball?

What would you have done in Cori’s shoes?

2 Comments
  1. Josh Woo permalink

    Would there be a strong case for Marc to make the cover bet, though? If he’s wrong, he falls below Mary’s pre-Final total and takes himself out on either a zero bet or a correct response from Mary. But is the zero bet the better option for Marc, given the scores are so close?

    Given that bit of information, and given how close the scores are, if I were Cori, I’d wager to cover Marc on his zero bet.

    • I think the situation is too complex to warrant a smaller wager by Marc. Personally, I would almost always bet on myself getting it right.

What do you think?