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.

Language
Englisch

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

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

Event
Geistige Schöpfung
(who)
Kinateder, Markus
Merlino, Luca Paolo
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2021

DOI
doi:10.3390/g12030055
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Kinateder, Markus
  • Merlino, Luca Paolo
  • MDPI

Time of origin

  • 2021

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