I have an question regarding to sequential/extensive-form game. I am wondering if one player must have the same available action set at different node? Thanks very much!
Are action set for each player identical at every information set in extensive-from game?
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game-theory
algorithmic-game-theory
1 Answers
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No. In general, players can have different sets of actions at each node they take an action.
Take, for instance, the alternating offer bargaining game. Each player has different actions depending on whether it is an odd period or an even period.
Note that there need not even be any sort of pattern in the available actions at each node, as there is in the aforementioned game. However, typical games will have them, because completely general games are very difficult to solve.
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0thanks very much. I am also wondering if you could recommend me elementary tutorials about repeated game with incomplete information(better with examples). – 2017-02-23
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0Repeated games with incomplete information are far from elementary. There are many open problems, and even the current known results are quite difficult. Nonetheless, do check out the [book](https://mitpress.mit.edu/books/repeated-games-incomplete-information) by Aumann and Maschler or these [notes](https://sites.google.com/site/jo4horner/home/teaching/econ-520a) by Johannes Hörner. – 2017-02-23