Nature Турe t, Probability = .25 Турe tg Probability = .5 Турe tz Probability= .25 1 1 1 a a 2 y y\z x y\z x y \z x y\z y\z X Player 1 1 4 1 2 3 3 1 21 2 3 2 4 1 5 2 4 Player 2 1 3 4 5 2 3 0 зо 4 22 2 0 1 3 2 5 2 0 of
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Consider the game given. Nature chooses player 1’s type which is t1 with probability .25, t2 with probability .25, and t3 with probability .5. After player 1 learns his type, players 1 and 2 move simultaneously with player 1 choosing between a and b and player 2 between x, y, and z. Find all of the BNE.
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