Arbeitspapier

Unbeatable imitation

We show that for many classes of symmetric two-player games, the simple decision rule 'imitate-if-better' can hardly be beaten by any strategy. We provide necessary and sufficient conditions for imitation to be unbeatable in the sense that there is no strategy that can exploit imitation as a money pump. In particular, imitation is subject to a money pump if and only if the relative payoff function of the game is of the rock-scissors-paper variety. We also show that a sufficient condition for imitation not being subject to a money pump is that the relative payoff game is a generalized ordinal potential game or a quasiconcave game. Our results apply to many interesting examples of symmetric games including 2 x 2 games, Cournot duopoly, price competition, public goods games, common pool resource games, and minimum effort coordination games.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 12-5

Klassifikation
Wirtschaft
Noncooperative Games
Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
Market Structure, Pricing, and Design: Oligopoly and Other Forms of Market Imperfection
Thema
imitate-the-best
learning
symmetric games
relative payoffs
zero-sum games
rock-paper-scissors
finite population ESS
generalized ordinal potential
games
quasiconcave games

Ereignis
Geistige Schöpfung
(wer)
Duersch, Peter
Oechssler, Joerg
Schipper, Burkhard C.
Ereignis
Veröffentlichung
(wer)
University of California, Department of Economics
(wo)
Davis, CA
(wann)
2012

Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Duersch, Peter
  • Oechssler, Joerg
  • Schipper, Burkhard C.
  • University of California, Department of Economics

Entstanden

  • 2012

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