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Games and Economic Behavior
Article . 2012 . Peer-reviewed
License: Elsevier TDM
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Article . 2011 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2010
License: arXiv Non-Exclusive Distribution
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Article . 2020
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Research . 2012
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Unbeatable Imitation

Unbeatable imitation
Authors: Peter Duersch; Jörg Oechssler; Burkhard C. Schipper;

Unbeatable Imitation

Abstract

We show that for many classes of symmetric two-player games, the simple decision rule "imitate-the-best" can hardly be beaten by any other decision rule. We provide necessary and sufficient conditions for imitation to be unbeatable and show that it can only be beaten by much in games that are of the rock-scissors-paper variety. Thus, in many interesting examples, like 2x2 games, Cournot duopoly, price competition, rent seeking, public goods games, common pool resource games, minimum effort coordination games, arms race, search, bargaining, etc., imitation cannot be beaten by much even by a very clever opponent.

Country
Germany
Keywords

imitate-the-best, learning, symmetric games, relative payoffs, zero-sum games, rock-paper-scissors, finite population ESS, potential games, quasisubmodular games, quasisupermodular games, quasiconcave games, aggregative games, FOS: Computer and information sciences, Computer Science - Machine Learning, 330, Imitationswettbewerb, Spieltheorie, imitate-the-best, potential games, Evolutionary Games, rock-paper-scissors, zero- sum games, finite population ESS, Machine Learning (cs.LG), C72, generalized ordinal potential, C73, ddc-330, Computer Science - Computer Science and Game Theory, zero-sum games, quasisupermodular games, games, Imitate-the-best, learning, symmetric games, relative payoffs, zero-sum games, rock-paper-scissors, finite population ESS, generalized ordinal potential games, quasiconcave games, C72 - Noncooperative Games, aggregative games, learning, Evolutionary games, generalized ordinal potential games, Imitate-the-best, learning, symmetric games, relative payoffs, zero-sum games, rock-paper-scissors, finite population ESS, potential games, quasisubmodular games, quasisupermodular games, quasiconcave games, aggregative games, ddc:330, Imitate-the-best, C73 - Stochastic and Dynamic Games, quasisubmodular games, quasiconcave games, D43 - Oligopoly and Other Forms of Market Imperfection, Repeated Games, Imitationsstrategie, 2-person games, 330 Economics, Imitate-the-best; learning; symmetric games; relative payoffs; zero- sum games., symmetric games, relative payoffs, Lernprozess, D43, Computer Science and Game Theory (cs.GT), jel: jel:D43, jel: jel:C72, jel: jel:C73

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
49
Top 10%
Top 10%
Top 10%
Green
bronze