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

question 37

Short Answer

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?
$\begin{array}{rr}\text {Sole survivor }&\text { 2 point }\\\text {One of two survivors }&\text { 4 point }\\\text {One of three survivors}&\text { 3 point }\\\text {Nonsurvivor}&\text { 1 point }\\\end{array}$

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Definitions:

Circular Argument

A logical fallacy in which the conclusion is assumed in one of the premises, offering no real evidence for the argument.

Inadequate Sample

A sample size that is too small to represent the population accurately, leading to unreliable results.

Unmanned Surveillance

The monitoring of areas, activities, or people using automated or remotely controlled equipment, such as drones or cameras.

Informational Constraint

Restrictions or limitations placed on data, such as access permissions or the structure of information.