Implementing just and efficient decision-making

In an economy with one public good, one private good and quasi-linear utilities we explore decision-making mechanisms to non-cooperatively implement an efficient outcome. By auctioning the leadership role among agents, one implements egalitarianism, namely the efficient outcome that distributes equally the surplus available from an a priori given status quo. A refinement of this mechanism (so-called autioning the leadership with differentiated buds) allows us to implement an efficient anonymous and neutral outcome: it achieves egalitarianism above the Vickrey-Clarke-Groves decision.