Arbeitspapier

Utilitarian Preferences and Potential Games

We study games with utilitarian preferences: the sum of individual utility functions is a generalized ordinal potential for the game. It turns out that generically, any finite game with a potential, ordinal potential, or generalized ordinal potential is better reply equivalent to a game with utilitarian preferences. It follows that generically, finite games with a generalized ordinal potential are better reply equivalent to potential games. For infinite games we show that a continuous game has a continuous ordinal potential, iff there is a better reply equivalent continuous game with utilitarian preferences. For such games we show that best reply improvement paths can be used to approximate equilibria arbitrarily closely.

Sprache
Englisch

Erschienen in
Series: Discussion paper ; No. 85

Klassifikation
Wirtschaft
Noncooperative Games
Market Structure, Pricing, and Design: Oligopoly and Other Forms of Market Imperfection
Thema
potential games
best reply equivalence
utilitarian preferences

Ereignis
Geistige Schöpfung
(wer)
Salonen, Hannu
Ereignis
Veröffentlichung
(wer)
Aboa Centre for Economics (ACE)
(wo)
Turku
(wann)
2013

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Salonen, Hannu
  • Aboa Centre for Economics (ACE)

Entstanden

  • 2013

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