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Construct the Game Tree for a Truel Played Sequentially, for Which

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Construct the game tree for a truel played sequentially, for which the outcomes have the following payoffs. What are the optimal strategies for this game?
Sole survivor  2 point One of two survivors  4 point One of three survivors 3 point Nonsurvivor 1 point \begin{array}{rr}\text {Sole survivor }&\text { 2 point }\\\text {One of two survivors }&\text { 4 point }\\\text {One of three survivors}&\text { 3 point }\\\text {Nonsurvivor}&\text { 1 point }\\\end{array}


Definitions:

Compounded Semiannually

Refers to the process where interest on a deposit or loan is calculated and added to the account balance twice a year.

Maturity Date

The date on which the principal amount of a loan, bond, or other financial instrument is due to be paid in full.

Yield

The income return on an investment, such as the interest or dividends received from holding a particular security.

Annually Compounded

The process where interest is added to the principal sum of a loan or deposit once a year.

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