Aang and Bolin are playing a simultaneous-move game where they seek to maximize their utility functions. Assume that Aang chooses strategy a and Bolin chooses strategy b and that their strategy spaces are continuous. Their utility functions are: • Aang's utility: UA = -a(a - b-2) • Bolin's utility: UB = -b(b – a – 8) %3D What is the pure-strategy Nash equilibrium in this game? Write Aang's choice for a in blank #1 and Bolin's choice for b in blank #2. Blank # 1 Blank # 2

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Aang and Bolin are playing a simultaneous-move game where they seek to maximize
their utility functions. Assume that Aang chooses strategy a and Bolin chooses
strategy 6 and that their strategy spaces are continuous.
Their utility functions are:
• Aang's utility: UA=-a(a – b- 2)
Bolin's utility: UB = -b(b- a - 8)
What is the pure-strategy Nash equilibrium in this game?
Write Aang's choice for a in blank #1 and Bolin's choice for b in blank #2.
Blank # 1
Blank # 2
Transcribed Image Text:Aang and Bolin are playing a simultaneous-move game where they seek to maximize their utility functions. Assume that Aang chooses strategy a and Bolin chooses strategy 6 and that their strategy spaces are continuous. Their utility functions are: • Aang's utility: UA=-a(a – b- 2) Bolin's utility: UB = -b(b- a - 8) What is the pure-strategy Nash equilibrium in this game? Write Aang's choice for a in blank #1 and Bolin's choice for b in blank #2. Blank # 1 Blank # 2
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