(a) How many subtrees does this game have? How many regular subtrees? (b) Use ba
ID: 1220251 • Letter: #
Question
(a) How many subtrees does this game have? How many regular subtrees?
(b) Use backwards induction and find the SPNE for the game.
(c) Now consider a situation in which the three players decide simultaneously between Contribute and Don’t contribute. Represent this situation in an extensive form game.
(d) For this new game, fins all Nash equilibria and all SPNE. Are they the same?
course web.pitt.ed https: pitt.edu/bbcswebd pid-21357189-dt rid-18238163 2/ rses/2167 UPITT ECON 0200 SEC Bharti B sent you a message Abigail Don't Contribute Barbara Don't Don't Contribute Contribute R Caroline Don't Contribute Don't Contribute Don't Contribute Don't Contribute (a) How many subtrees does this game have? How many regular subtrees? (b) Use backwards induction and find the SPNE for the game. (c) Now consider a situation in which the three players decide simultaneously between Contribute and Don't contribute. Represent this situation in an extensive form game (d) or this new game, fins all Nash equilibria and all SPNE. re they the same?Explanation / Answer
a) Subtree is a non-terminal node, together with all of the nodes that could be reached from this node. It has 7 subtrees.
Regular subtree is a subtree starting from one of the nodes of the game such that this subtree contains an entire information set if it contains at least one node from that information set. It contains 3 regular subtrees.
b) the SPNE of this game is (Don't, Contribute, Contribute)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.