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Replicator Dynamics of Evolutionary Hypergames

Authors: Takafumi Kanazawa; Toshimitsu Ushio; Tatsushi Yamasaki;

Replicator Dynamics of Evolutionary Hypergames

Abstract

In evolutionary game theory, the distribution of strategies in the population is changed according to payoffs which individuals earn depending on their selected strategies. However, to the best of our knowledge, individuals' perceptions in evolutionary games have been disregarded. Individuals that select a strategy by trial and error may perceive the same conflict situation from different viewpoints. Hence, the influence of individuals' perceptions has to be taken into consideration. In this correspondence, interpretation functions in hypergames are introduced into evolutionary games. Using them, we formulate replicator dynamics considering individuals' perceptions. In a special case that there exist two populations, we show that its interior equilibrium point is stable if the corresponding point is a hyper-Nash-Pareto pair

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    influence
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Powered by OpenAIRE graph
Found an issue? Give us feedback
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!
16
Top 10%
Top 10%
Average
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