Draw a tree for this game and find the rollback equilibrium

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There are two distinct proposals, A and B, being debated in Washington. The Congress likes proposal A, and the president likes proposal B. The proposals are not mut ually exclusive; either or both or neither may become law. Thus there are four possible outcomes, and the rankings of the two sides are as fol­ lows, where a larger num ber represents a more favored outcome.

Outcome Congress President

A becomes law 4

B becomes law 4

Both A and B become law 3 3

Neither (status quo prevails) 2 2

(a) The moves in the game are as follows. First, the Congress decides whether to pass a bill and whether it is to contain A or B or both. Then the president decides whether to sign or veto the bill. Congress does not have enough votes to override a veto. Draw a tree for this game and find the rollback equilibrium.

(b) Now suppo e the rules of the game are changed in only one respect: the president i giv n the extra power of a line-item veto. Thus, if the Con­ gress pa e a bill containing both A and B, the president may choose not only ro ign or veto the bill as a whole, but also to veto just one of the rwo items. Show the new tree and find the rollback equilibrium.

(c) Explajn intuitively why the difference between the two equilibria arises.

Reference no: EM131161446

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