A Study on Realization of Cooperative Equilibrium Soluti on and Its Stability in Hogg-Huberman Model

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  • SHIBATA Junko
    Department of Artificial Complex Systems Engineering, Graduate School of Engineering, Hiroshima University
  • SAKAWA Masatoshi
    Department of Artificial Complex Systems Engineering, Graduate School of Engineering, Hiroshima University
  • KAT Kosuke
    Department of Artificial Complex Systems Engineering, Graduate School of Engineering, Hiroshima University
  • KATAGIRI Hideki
    Department of Artificial Complex Systems Engineering, Graduate School of Engineering, Hiroshima University

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  • Hogg-Hubermanモデルにおける協調解の実現と安定性に関する考察
  • Hogg Huberman モデル ニ オケル キョウチョウカイ ノ ジツゲン ト アンテイセイ ニ カンスル コウサツ

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Abstract

In a multi-agent system as a simulation model of social systems, the equilibrium of the system is attained at the competitive equilibrium solution which satisfies the individual rationality. On the other hand, since an agent as a model of a human being usually belongs to some group, it may be often desirable that the system has a cooperative equilibrium solution which satisfies the group rationality. Furthermore, information which an agent uses for the selection of actions is supposed to be accurate in most of past researches though it seems more practical that it includes uncertainty and delay. In this paper, focusing on Hogg-Huberman model originally composed of only competitive agents with the uncertain and delayed information, we introduce another type of agent based on the group rationality. As a result, we realize a cooperative equilibrium to maxmize the total profit of the system. Then, through a number of computer simulations, we investigate and discuss the stability of a system which consists of either competitive agents or cooperative agents together with the influence of the ratio of cooperative agents in the system and the degree of information uncertainty on the total profit of the system.

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