Artikel

The evolution of networks and local public good provision: A potential approach

In this paper, we propose a game in which each player decides with whom to establish a costly connection and how much local public good is provided when benefits are shared among neighbors. We show that, when agents are homogeneous, Nash equilibrium networks are nested split graphs. Additionally, we show that the game is a potential game, even when we introduce heterogeneity along several dimensions. Using this result, we introduce stochastic best reply dynamics and show that this admits a unique and stationary steady state distribution expressed in terms of the potential function of the game. Hence, even if the set of Nash equilibria is potentially very large, the long run predictions are sharp.

Sprache
Englisch

Erschienen in
Journal: Games ; ISSN: 2073-4336 ; Volume: 12 ; Year: 2021 ; Issue: 3 ; Pages: 1-12 ; Basel: MDPI

Klassifikation
Wirtschaft
Noncooperative Games
Microeconomics: General
Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
Public Goods
Innovation and Invention: Processes and Incentives
Thema
network formation
network games
potential games
public goods

Ereignis
Geistige Schöpfung
(wer)
Kinateder, Markus
Merlino, Luca Paolo
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2021

DOI
doi:10.3390/g12030055
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Kinateder, Markus
  • Merlino, Luca Paolo
  • MDPI

Entstanden

  • 2021

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