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May 30, 2020 at 8:20 comment added VARulle I think it does. Not chronologically, but in the game tree. How else would you model perfect commitment in a game tree?
May 29, 2020 at 13:23 comment added Lin Jing Yes, moving first definitely generates the commitment power, but commitment power does not necessarily have to be the case of moving first.
May 29, 2020 at 11:33 comment added VARulle It's a NE if player $i$ can move first. But this is not the case in the given game, so it's not a NE of the given game. Your answer is not an answer to the question asked here.
May 29, 2020 at 10:59 comment added Lin Jing It is an NE when player $i$ can commit/stick to $q_i^C$, and $q_j^C$ is player $j$'s best response. It is not an SPNE because $q_i^C$ is not the best response of $q_j^C$.
May 29, 2020 at 10:49 comment added Lin Jing This is only an NE If player $i$ commits to the production level $q_i^C$ and won't change it in the second stage. If he cannot commit, in the second stage, $q_i^C$ is not a best response to $q_j^C$, so he will deviate, and then player $j$ will also deviate, until they reach the original SPNE.
May 29, 2020 at 8:31 comment added VARulle What do you mean with "Therefore, $q^C_i$ and $q^C_j$ can only be an NE if player $i$ does have the commitment power."? The strategy profile is either a NE or not.
May 28, 2020 at 1:17 history edited Lin Jing CC BY-SA 4.0
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May 28, 2020 at 1:10 history answered Lin Jing CC BY-SA 4.0