Find all possible nash equilibria

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Two folks found $100 on the street and have to decide how to split it. A game theorist came by and proposed the following resolution. Each player simultaneously declares the amount she wants to keep. If the demands sum up to less than or equal to $100, each gets what she claimed; if the demands sum up to more than $100, both get nothing. Find all possible Nash equilibria. Carefully explain your reasoning.

Reference no: EM13998916

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