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Can someone please suggest how I can display this game in extensive form \?

A coin is biased so that the probability of heads is $ \frac{2}{3} $. The coin is tossed by Player A, who does not show it to Player B. Player A makes a claim about the outcome, and B then guesses how the coin fell. B wins $£3$ for a correct guess and nothing otherwise. If A’s claim was true then A wins $£3$. In addition, A wins a further $£6$ if B guesses heads. show This game in extensive form.

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1 Answer

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Here is the sketch (if I have understood the question exactly). The player $"0"$ is natural randomness and $p$ denotes on probability of revealing $Heads$ in coin toss. Also $h_i$ and $t_i$ denote the guessing strategy chosen by $A$ and $B$ respectively for $i=1,2$. Also the corresponding strategic form is:

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