Name
Abstract | ||
|---|---|---|
We study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In such games, each player aims at reaching his own goal set of states as soon as possible. A previous work on this model showed that Nash equilibria (resp. secure equilibria) are guaranteed to exist in the multiplayer (resp. two-player) case. The existence of secure equilibria in the multiplayer case remained, and is still an open problem. In this paper, we focus our study on the concept of subgame perfect equilibrium, a refinement of Nash equilibrium well-suited in the framework of games played on graphs. We also introduce the new concept of subgame perfect secure equilibrium. We prove the existence of subgame perfect equilibria (resp. subgame perfect secure equilibria) in multiplayer (resp. two-player) quantitative reachability games. Moreover, we provide an algorithm deciding the existence of secure equilibria in the multiplayer case. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-28729-9_19 | FoSSaCS |
Keywords | Field | DocType |
reachability objective,secure equilibrium,subgame perfect equilibrium,multiplayer non zero-sum game,nash equilibrium,multiplayer case,quantitative reachability game,subgame perfection,subgame perfect secure equilibrium,finite graph,new concept | Discrete mathematics,Graph,Mathematical economics,Open problem,Computer science,Markov perfect equilibrium,Reachability,Subgame perfect equilibrium,Subgame,Nash equilibrium,Perfection | Conference |
Volume | ISSN | Citations |
7213 | 0302-9743 | 1 |
PageRank | References | Authors |
0.40 | 20 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Brihaye | 1 | 460 | 35.91 |
| Véronique Bruyère | 2 | 429 | 43.59 |
| Julie De Pril | 3 | 29 | 2.95 |
| Hugo Gimbert | 4 | 249 | 21.31 |