C++ :: Strategy Pattern Paradox - Algorithm To Decide Winner Of The Game

I've reached some sort of paradox while writing my small game. I need an algorithm to decide the winner of the game, but it's a fairly complicated task so i decided to delegate the responsibility to a strategy object, and code a naive(inefficient) algorithm to begin with, then i can easily swap the algorithm for a more efficient one later.

The problem is, that the strategy object needs to know the game, and the game needs to know the strategy object, but as you can see there is no way of doing that since i need to create one object before i create another.

//Wrong code illustrating the concept
Winner_strategy * winner_strategy;
Game * game;

winner_strategy = new Winner_strategy(game);
game = new Game_impl{winner_strategy};

BTW i know that it's best pratice to use unique_ptr, but i don't think it will make a difference here?