Economic and Game Theory
|
"Inside every small problem is a large problem struggling to get out." | |||||
Topics | Thread and Full Text View
Lions - (1,2 ....K) Sheeps - (1,2 ....K-1) Lion choose to ( Eat, not eat) sheep If k-th lion choose to eat, he becomes sheep for k+1th lion pay off : lions gains positive payoff from eating but not at a cost of being eaten What is the Subgame perfect equilibrium for this problem? My initial answer to this was (1,2.....K-1 lion choose not eat / K lion choose to eat), but other people have been telling me that the answer is identical to the original typical lion-sheep problem where the number of sheep is fixed at 1 but my thought is that, for starters, the answer to the original problem says the equilibrium changes for odd/even number of lions that is clearly not a subgame perfect equilibrium. In that it is not the equilibrium realized in every subgame. Sorry for the broken english, as english is not my first language can anyone help? [Manage messages] |