Subgame perfection and the rule of k-names

Abstract

In this paper we revisit the rule of k names from a game theoretic perspective. This rule can be described as follows. Given a set of candidates for a position, a committee (formed by the proposers) selects k elements of that set using a screening rule; then a single individual from outside the committee (the chooser) chooses for the position one of the k selected candidates. In this context we first give conditions for the existence of a subgame perfect equilibrium. Then we provide conditions for the existence of subgame perfect q-strong equilibria when the screening rule is -majoritarian. Finally, we show that when the chooser can strategically appoint a delegate to choose on behalf of him, the conditions for the existence of subgame perfect q-strong equilibria are weaker.