Assignment:
Eric believes that it is common belief among him and Jack that the New York Mets won the baseball World Series in 1969. Jack ascribes probability 0.5 to the New York Mets having won the World Series in 1969, and to Eric believing that it is common belief among the two of them that the New York Mets won the World Series in 1969. Jack also ascribes probability 0.5 to the New York Mets not having won the World Series in 1969, and to Eric believing that it is not common belief among the two of them that the New York Mets won the World Series in 1969. Construct a belief space in which the described situation is represented by a state of the world and indicate that state (more than one answer is possible).
Provide complete and step by step solution for the question and show calculations and use formulas.