Consider a small economy with only 2 banks, DSB and TKB, in the banking industry. Both banks have to decide whether to charge high or low interest rates. If both banks charge a high interest rate, DSB will earn $200m while TKB will earn $85m. If both banks charge a low interest rate, DSB will earn $250m while TKB will earn $400m. If DSB charges a higher interest rate while TKB charges a low interest rate, DSB will earn $300m while TKB will earn $65m. If DSB charges a low interest rate while TKB charges a high interest rate, DSB will eam $75m while TKB will earn $500m. Construct the payoff matrix for the earning of both banks, apply game theory concepts and solve for the Nash equilibrium and explain whether this is a prisoner's dilemma game.
Consider a small economy with only 2 banks, DSB and TKB, in the banking industry. Both banks have to decide whether to charge high or low interest rates. If both banks charge a high interest rate, DSB will earn $200m while TKB will earn $85m. If both banks charge a low interest rate, DSB will earn $250m while TKB will earn $400m. If DSB charges a higher interest rate while TKB charges a low interest rate, DSB will earn $300m while TKB will earn $65m. If DSB charges a low interest rate while TKB charges a high interest rate, DSB will eam $75m while TKB will earn $500m. Construct the payoff matrix for the earning of both banks, apply game theory concepts and solve for the Nash equilibrium and explain whether this is a prisoner's dilemma game.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![Consider a small economy with only 2 banks, DSB and TKB, in the banking
industry. Both banks have to decide whether to charge high or low interest rates.
If both banks charge a high interest rate, DSB will earn $200m while TKB will
earn $85m. If both banks charge a low interest rate, DSB will earn $250m while
TKB will earn $400m. If DSB charges a higher interest rate while TKB charges
a low interest rate, DSB will earn $300m while TKB will earn $65m. If DSB
charges a low interest rate while TKB charges a high interest rate, DSB will earn
$75m while TKB will earn $500m.
Construct the payoff matrix for the earning of both banks, apply game theory
concepts and solve for the Nash equilibrium and explain whether this is a
prisoner's dilemma game.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddd2c4f9-3700-4e85-ab5e-bf4889fb19dd%2Fdc74b535-8ecf-4fea-ac97-e87e04bfdd63%2F4if1c8_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a small economy with only 2 banks, DSB and TKB, in the banking
industry. Both banks have to decide whether to charge high or low interest rates.
If both banks charge a high interest rate, DSB will earn $200m while TKB will
earn $85m. If both banks charge a low interest rate, DSB will earn $250m while
TKB will earn $400m. If DSB charges a higher interest rate while TKB charges
a low interest rate, DSB will earn $300m while TKB will earn $65m. If DSB
charges a low interest rate while TKB charges a high interest rate, DSB will earn
$75m while TKB will earn $500m.
Construct the payoff matrix for the earning of both banks, apply game theory
concepts and solve for the Nash equilibrium and explain whether this is a
prisoner's dilemma game.
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