Loading...
Loading...

Go to the content (press return)

The problem of ranking players: from semivalues to games with abstention

Author
Bernardi, G.
Type of activity
Theses
Defense's date
2018-02-28
Repository
http://hdl.handle.net/10589/138982 Open in new window
Abstract
In this thesis we analyse the problems of evaluating the power of players in different voting situations and of creating a ranking among them. We start our analysis in the classical set of cooperative game theory. We present a theorem to characterize the family of semivalues, a class of solution concepts, by means of their behaviour on unanimity games and to establish a connection between semivalues and completely monotonic sequences. Then, we provide a new formula to compute the Shapley value d...
Keywords
Game theory, Power indices, Ranking, Semivalues
Group of research
GRTJ - Game Theory Research Group

Participants

  • Lucchetti, Roberto  (director)
  • Bernardi, Giulia  (author)
  • Freixas Bosch, Josep  (director)
  • Sabadini, Irene Maria  (Degana of the PHD program)