Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies

Takafumi KANAZAWA; Toshimitsu USHIO

doi:10.1093/ietfec/e89-a.10.2717

Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies

Takafumi KANAZAWA, Toshimitsu USHIO

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If some differences of perceptions arise between populations, then strategies which are regarded as the same strategy in a population may be perceived distinguishably in the other populations. To discuss such a situation, replicator dynamics for multi-population hypergames has been proposed. However, it is assumed that players' perceptions are given and fixed. In this paper, we consider that each population has various interpretation functions and choose one of them depending on payoffs, and we propose a hybrid system representation of replicator dynamics with changes of interpretation functions. Moreover, we apply our proposed model to a well-known example of a hypergame "Soccer Hooliganism" and show that behaviors converging to heteroclinic orbits can appear by the changes of the interpretation functions.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2717-2723

Publication Date: 2006/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.10.2717

Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

Category: Modelling, Systems and Simulation

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Takafumi KANAZAWA, Toshimitsu USHIO, "Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 10, pp. 2717-2723, October 2006, doi: 10.1093/ietfec/e89-a.10.2717.
Abstract: If some differences of perceptions arise between populations, then strategies which are regarded as the same strategy in a population may be perceived distinguishably in the other populations. To discuss such a situation, replicator dynamics for multi-population hypergames has been proposed. However, it is assumed that players' perceptions are given and fixed. In this paper, we consider that each population has various interpretation functions and choose one of them depending on payoffs, and we propose a hybrid system representation of replicator dynamics with changes of interpretation functions. Moreover, we apply our proposed model to a well-known example of a hypergame "Soccer Hooliganism" and show that behaviors converging to heteroclinic orbits can appear by the changes of the interpretation functions.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2717/_p

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@ARTICLE{e89-a_10_2717,
author={Takafumi KANAZAWA, Toshimitsu USHIO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies},
year={2006},
volume={E89-A},
number={10},
pages={2717-2723},
abstract={If some differences of perceptions arise between populations, then strategies which are regarded as the same strategy in a population may be perceived distinguishably in the other populations. To discuss such a situation, replicator dynamics for multi-population hypergames has been proposed. However, it is assumed that players' perceptions are given and fixed. In this paper, we consider that each population has various interpretation functions and choose one of them depending on payoffs, and we propose a hybrid system representation of replicator dynamics with changes of interpretation functions. Moreover, we apply our proposed model to a well-known example of a hypergame "Soccer Hooliganism" and show that behaviors converging to heteroclinic orbits can appear by the changes of the interpretation functions.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2717},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2717
EP - 2723
AU - Takafumi KANAZAWA
AU - Toshimitsu USHIO
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2717
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - If some differences of perceptions arise between populations, then strategies which are regarded as the same strategy in a population may be perceived distinguishably in the other populations. To discuss such a situation, replicator dynamics for multi-population hypergames has been proposed. However, it is assumed that players' perceptions are given and fixed. In this paper, we consider that each population has various interpretation functions and choose one of them depending on payoffs, and we propose a hybrid system representation of replicator dynamics with changes of interpretation functions. Moreover, we apply our proposed model to a well-known example of a hypergame "Soccer Hooliganism" and show that behaviors converging to heteroclinic orbits can appear by the changes of the interpretation functions.
ER -