3. Consider the ultimatum bargaining game as introduced in the class with the following modification. If the share of player i is x, and that of player j is x;, where ji, then the payoff of player i is - Bx; Xi - where > 0. The parameter ß can be interpreted as a measure of envy of player i towards player j. Find the subgame perfect equilibria of this game.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Consider the ultimatum bargaining game as introduced in the class with the following
modification. If the share of player i is x; and that of player j is x,, where j ‡i, then
the payoff of player i is
xi - Bxj
where > 0. The parameter 3 can be interpreted as a measure of envy of player i
towards player j. Find the subgame perfect equilibria of this game.
Transcribed Image Text:3. Consider the ultimatum bargaining game as introduced in the class with the following modification. If the share of player i is x; and that of player j is x,, where j ‡i, then the payoff of player i is xi - Bxj where > 0. The parameter 3 can be interpreted as a measure of envy of player i towards player j. Find the subgame perfect equilibria of this game.
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