Consider a sequential game with two players who use the following procedure to share two desirable, identical and indivisible objects. Player 1 proposes an allocation in stage 1 which player 2 either accepts or rejects. In the event of rejection, neither player receives either of the objects and in the event of acceptance the objects are allocated according to the proposal of player 1.
The subgame perfect Nash equilibrium of the game is where player 1 allocates both the objects to himself and player 2 receives nothing. Is there any Nash equilibrium of this game other this?