Network topology and equilibrium existence in weighted network congestion games

Arbeitspapier

Every finite noncooperative game can be presented as a weighted network congestion game, and also as a network congestion game with player-specific costs. In the first presentation, different players may contribute differently to congestion, and in the second, they are differently (negatively) affected by it. This paper shows that the topology of the underlying (undirected two-terminal) network provides information about the existence of pure-strategy Nash equilibrium in the game. For some networks, but not for others, every corresponding game has at least one such equilibrium. For the weighted presentation, a complete characterization of the networks with this property is given. The necessary and sufficient condition is that the network has at most three routes that do traverse any edge in opposite directions, or it consists of several such networks connected in series. The corresponding problem for player-specific costs remains open.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Working Paper ; No. 2010-09

Klassifikation und Themen

• Klassifikation: Wirtschaft
• Thema: congestion games ; network topology ; existence of equilibrium ; Netzwerk ; Wirtschaftliche Effizienz ; Bottleneck ; Spieltheorie ; Gleichgewichtstheorie ; Theorie

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Milchtaich, Igal
• Ereignis: Veröffentlichung
• (wer): Bar-Ilan University, Department of Economics
• (wo): Ramat-Gan
• (wann): 2010

Weitere Informationen

• Handle: http://hdl.handle.net/10419/95995
• Letzte Aktualisierung: 10.03.2025, 11:44 MEZ