Economic and Game Theory
|"Inside every small problem is a large problem struggling to get out."|
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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?