If Soapy Inc. and Suddies Inc. play the game in Problem 5...

Name: Problem 7, Chapter 15: Economics
Uploaded: 2020-10-16T19:20:53-08:00
Duration: 5 min 58 s
Channel: Heather Duong
Description: If Soapy Inc. and Suddies Inc. play the game in Problem 5 repeatedly, on each round of play a. What strategies might each firm adopt? b. Can the firms adopt a strategy that gives the game a cooperative equilibrium? c. Would one firm still be tempted to cheat in a cooperative equilibrium? Explain your answer.

If Soapy Inc. and Suddies Inc. play the game in Problem 5 repeatedly, on each round of play a. What strategies might each firm adopt? b. Can the firms adopt a strategy that gives the game a cooperative equilibrium? c. Would one firm still be tempted to cheat in a cooperative equilibrium? Explain your answer.

If Soapy Inc. and Suddies Inc. play the game in Problem 5 repeatedly, on each round of play
a. What strategies might each firm adopt?
b. Can the firms adopt a strategy that gives the game a cooperative equilibrium?
c. Would one firm still be tempted to cheat in a cooperative equilibrium? Explain your answer.

Key Concepts

Cooperative Equilibrium

A cooperative equilibrium in the context of repeated games is an outcome where all players maintain cooperative behavior over time, achieving mutual benefits that are higher than those in a one-shot game. The possibility of sustaining such an equilibrium depends on the players' ability to credibly threaten punishment for unilateral deviations.

Repeated Games

Repeated games involve the same strategic interaction being played multiple times by the same players, allowing for a history of play to influence future decisions. In such settings, players may adjust their strategies based on past behavior, making threats and promises, which can lead to outcomes that differ from a single-shot game scenario.

Trigger Strategies

Trigger strategies are strategies in repeated games where a player cooperates initially and continues to do so until the opponent defects, at which point the player switches to a punishment phase (often reverting to non-cooperative behavior) for a predetermined period or indefinitely. This mechanism serves as an incentive to maintain cooperation by punishing deviations.

Incentive to Cheat

The incentive to cheat refers to the temptation a player feels to deviate from the agreed cooperative strategy in order to obtain a short-term gain, even though this may lead to less favorable outcomes in future rounds due to punishment by other players. Analyzing this incentive is key to understanding whether a cooperative equilibrium can be maintained in repeated interactions.

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