Gibbard-Satterthwaite Games for k-Approval Voting Rules

Autor: Grandi, Umberto, Hughes, Daniel, Rossi, Francesca, Slinko, Arkadii
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: The Gibbard-Satterthwaite theorem implies the existence of voters, called manipulators, who can change the election outcome in their favour by voting strategically. When a given preference profile admits several such manipulators, voting becomes a game played by these voters, who have to reason strategically about each others' actions. To complicate the game even further, counter-manipulators may then try to counteract the actions of manipulators. Our voters are boundedly rational and do not think beyond manipulating or countermanipulating. We call these games Gibbard--Satterthwaite Games. In this paper we look for conditions that guarantee the existence of a Nash equilibria in pure strategies.
Databáze: arXiv