the question is attached as a photo and answer typed below. please help me show the calculations to support the answer the answer Administrator theorem equilibrium is an associate degree equilibrium conception relevant for dynamic games with incomplete info it’s a refinement of Nash equilibrium. The ways and beliefs are; the action rely on the history this is often almost like a sequent game and the belief could also be likelihood distribution over the nodes within the info set. Formally a belief system is associate degree assignment of likelihood of each node within the game such the total of possibilities in any info set. The ways and beliefs ought to satisfy the subsequent condition they're as follows; sequent rationality, every strategy ought to be optimum in expectation given the beliefs. Consistency, every belief ought to be updated per the ways and Bayes decree each path of zero likelihood
the question is attached as a photo and answer typed below. please help me show the calculations to support the answer
the answer
Administrator theorem equilibrium is an associate degree equilibrium conception relevant for dynamic games with incomplete info it’s a refinement of Nash equilibrium.
The ways and beliefs are; the action rely on the history this is often almost like a sequent game and the belief could also be likelihood distribution over the nodes within the info set.
Formally a belief system is associate degree assignment of likelihood of each node within the game such the total of possibilities in any info set.
The ways and beliefs ought to satisfy the subsequent condition they're as follows; sequent rationality, every strategy ought to be optimum in expectation given the beliefs. Consistency, every belief ought to be updated per the ways and Bayes decree each path of zero likelihood of the equilibrium the beliefs will be arbitrary as this is the perfect Bayesian equilibrium of the game.
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