Consider a market in which Aldi must choose whether to Enter (E) or Not Enter (NE). If Aldi chooses to Not Enter, its payoff is 10 and its rival Coles’ payoff is 20. If Aldi Enters this is observed by Coles, and Coles must choose either to Punish (P) or Accommodate (A). If following Entry by Aldi Coles Punishes the payoffs are 5 to Aldi and 10 to Coles. If following Entry by Aldi Coles Accommodates the payoffs are 12 to Aldi and 8 to Coles. What are the credible equilibria (SPE) of the game?
Question
Consider a market in which Aldi must choose whether to Enter (E) or Not Enter (NE). If Aldi chooses to Not Enter, its payoff is 10 and its rival Coles’ payoff is 20. If Aldi Enters this is observed by Coles, and Coles must choose either to Punish (P) or Accommodate (A). If following Entry by Aldi Coles Punishes the payoffs are 5 to Aldi and 10 to Coles. If following Entry by Aldi Coles Accommodates the payoffs are 12 to Aldi and 8 to Coles. What are the credible equilibria (SPE) of the game?
Solution
This seems to be a mistake as there is no text provided to respond to in the same language. However, the language used in the question is English.
To answer the original question, we need to use the concept of subgame perfect equilibrium (SPE) in game theory.
Step 1: Identify the subgames. In this case, there is one proper subgame, which starts after Aldi decides to Enter.
Step 2: Solve the subgames. In the subgame, Coles has two strategies: Punish (P) or Accommodate (A). Coles will choose to Accommodate because it gives a higher payoff (8 > 10).
Step 3: Substitute the subgame equilibria into the main game. If Aldi chooses to Enter, knowing that Coles will Accommodate, Aldi will receive a payoff of 12. If Aldi chooses Not to Enter, it will receive a payoff of 10.
Step 4: Determine the equilibrium strategies in the main game. Aldi will choose to Enter because it gives a higher payoff (12 > 10).
So, the subgame perfect equilibrium (SPE) of the game is for Aldi to Enter and Coles to Accommodate (E, A).
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