Question

Suppose you and a classmate are playing a game where your classmate proposes a division of​ $1.00. ​ Then, you either accept or reject the offer. If you​ accept, then you and the classmate get the proposed portions of the dollar. ​ However, if you reject the​offer, then you and your classmate receive nothing.
Suppose your classmate offers you $0.12
What is your optimal​ strategy?
Your optimal strategy is to _________ the proposed division.

A. Accept
B. Reject

Now suppose instead that you propose the division of the dollar. Your classmate will then accept or reject your division. If the classmate​ accepts, then you each receive the portion of the dollar as you have proposed. ​ However, if your classmate​ rejects, then you both get nothing.
Your optimal strategy is to offer your classmate ​$ 0.99. (Enter a numeric response to two decimal places)

Answer 1

Answer: The correct answers are "A. Accept" and "$ 0.01".

Explanation: Given that we talk about optimal strategy when maximizing the expected profit by the player:

In the first case It is convenient to accept the proposal and keep $ 0.12, instead of rejecting it and running out of nothing.

And in the second case it is convenient to give the classmate as little as possible so that he accepts and we have a greater profit.