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4. Two players play a game the goal of which is to divide five identical objects between them. (The objects cannot be split into pieces so that any division has to involve whole objects.) Player 1 makes a proposal of how the objects should be divided. Player 2 then either accepts or rejects this proposal. If the proposal is accepted, the proposed division takes place. If it is rejected, the objects are taken away. The payoff of each player is equal to the number of objects this player receives. a) How many pure strategy profiles does this game have? b) How many of these profiles are SPE? Which ones are those? c) How many of these strategy profiles are Nash equilibria