std::set doesn't detect duplicate custom objects

I have a map for keeping the team name and players of the team std:pair<std::string, std::vector<std::string> > and a set of pointers to players to keep the players sorted in descending order by wins. And there's the catch - one player can participate in more than one team.

    class Player
{
public:
    int wins;
    std::string name;

    Player() {}
    Player(std::string name) : wins(0), name(name) {}

    bool operator<(const Player* rhs) const
    {
        return this->wins > rhs->wins;
    }

    bool operator()(const Player* lhs, const Player* rhs) const
    {
        return lhs->wins > rhs->wins;
    }
};

int main()
{
    // EXAMPLE
    std::set<Player*> players;
    std::map<std::string, std::vector<Player> > teams;

    teams["TeamA"].push_back(Player("a"));
    teams["TeamB"].push_back(Player("a"));;
    players.insert(&teams["TeamA"].front());
    players.insert(&teams["TeamB"].front());

    std::cout << players.size(); // output 2 

    return 0;
}

As you can see the players in 'TeamA' and 'TeamB' are identical but still in the set are added two pointers and I can't figure it out why.. Is there something I am missing ?