Consider a market where 2 firms compete a la Bertrand. Market demand is q(pmin) = 12 - pmin» and marginal cost of both firms is c = 4. Suppose they compete for infinite periods. Consider the following statements (1) The minimum discount factor to sustain cooperation

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Chapter1: Making Economics Decisions
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Consider a market where 2 firms compete a la Bertrand.
Market demand is q(pmin) = 12 - pmin, and marginal cost of
both firms is c = 4. Suppose they compete for infinite periods.
Consider the following statements
• (1) The minimum discount factor to sustain cooperation
between the firms (collusion) is 9/17.
• (II) If the firms have different discount factors such that 81
< 82, and we want to check if collusion is possible, then it
is sufficient to show that firm 1 has no incentive to
deviate.
• (III) If & = 0.9, then there does NOT exist a SPNE where
both firms set prices equal to marginal cost.
O All options are incorrect.
More than one option is correct.
O Only I is correct.
Only Il is correct
Only III is correct
Transcribed Image Text:Consider a market where 2 firms compete a la Bertrand. Market demand is q(pmin) = 12 - pmin, and marginal cost of both firms is c = 4. Suppose they compete for infinite periods. Consider the following statements • (1) The minimum discount factor to sustain cooperation between the firms (collusion) is 9/17. • (II) If the firms have different discount factors such that 81 < 82, and we want to check if collusion is possible, then it is sufficient to show that firm 1 has no incentive to deviate. • (III) If & = 0.9, then there does NOT exist a SPNE where both firms set prices equal to marginal cost. O All options are incorrect. More than one option is correct. O Only I is correct. Only Il is correct Only III is correct
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