Evolutionary imitative dynamics with population-varying aspiration levels

Ryoji Sawa; Dai Zusai

doi:10.1016/j.jet.2014.10.001

Evolutionary imitative dynamics with population-varying aspiration levels

Ryoji Sawa, Dai Zusai

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider deterministic evolutionary dynamics under imitative revision protocols. We allow agents to have different aspiration levels in the imitative protocols where their aspiration levels are not observable to other agents. We show that the distribution of strategies becomes statistically independent of the aspiration level eventually in the long run. Thus, long-run properties of homogeneous imitative dynamics hold as well, despite heterogeneity in aspiration levels.

Original language	English
Pages (from-to)	562-577
Number of pages	16
Journal	Journal of Economic Theory
Volume	154
DOIs	https://doi.org/10.1016/j.jet.2014.10.001
Publication status	Published - 2014 Nov 1
Externally published	Yes

Keywords

Aspiration level
Imitation
Learning
Multiple populations
Wright manifold

ASJC Scopus subject areas

Economics and Econometrics

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10.1016/j.jet.2014.10.001

Cite this

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title = "Evolutionary imitative dynamics with population-varying aspiration levels",

abstract = "We consider deterministic evolutionary dynamics under imitative revision protocols. We allow agents to have different aspiration levels in the imitative protocols where their aspiration levels are not observable to other agents. We show that the distribution of strategies becomes statistically independent of the aspiration level eventually in the long run. Thus, long-run properties of homogeneous imitative dynamics hold as well, despite heterogeneity in aspiration levels.",

keywords = "Aspiration level, Imitation, Learning, Multiple populations, Wright manifold",

author = "Ryoji Sawa and Dai Zusai",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2014",

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AU - Zusai, Dai

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N2 - We consider deterministic evolutionary dynamics under imitative revision protocols. We allow agents to have different aspiration levels in the imitative protocols where their aspiration levels are not observable to other agents. We show that the distribution of strategies becomes statistically independent of the aspiration level eventually in the long run. Thus, long-run properties of homogeneous imitative dynamics hold as well, despite heterogeneity in aspiration levels.

AB - We consider deterministic evolutionary dynamics under imitative revision protocols. We allow agents to have different aspiration levels in the imitative protocols where their aspiration levels are not observable to other agents. We show that the distribution of strategies becomes statistically independent of the aspiration level eventually in the long run. Thus, long-run properties of homogeneous imitative dynamics hold as well, despite heterogeneity in aspiration levels.

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KW - Imitation

KW - Learning

KW - Multiple populations

KW - Wright manifold

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JO - Journal of Economic Theory

JF - Journal of Economic Theory

SN - 0022-0531

ER -

Evolutionary imitative dynamics with population-varying aspiration levels

Abstract

Keywords

ASJC Scopus subject areas

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