Asset price dynamics with small world interactions under hetereogeneous beliefs

Valentyn Panchenko, Sergiy Gerasymchuk and Oleg Pavlov
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Oleg Pavlov: Department of Social Science and Policy Studies, Worchester Polytechnic Institute

No 149, Working Papers from Department of Applied Mathematics, Università Ca' Foscari Venezia

Abstract: We propose a simple model of a financial market populated with heterogeneous agents. The market represents a network with nodes symbolizing the agents and edges standing for connections between them, thus, embodying local interactions in the market. By local interactions we mean any kind of interplay between the decisions of the agents unaffected by the market mechanism and unrelated to the physical distance between the agents. Using the rewiring procedure we restructure a network from regular lattice to random graph by varying the probability of the agents to switch from one trading strategy to another. We study how the network structure influences the asset price dynamics. The results show that for some intermediate values of the probability to switch, corresponding to a small world network, the price dynamics become reminiscent to the real. While for the boundary values of the probability the dynamics lacks some typical features of the real financial markets.

Keywords: local interactions; networks; small world; heterogeneous beliefs; price dynamics; bifurcations; chaos (search for similar items in EconPapers)
JEL-codes: C45 C62 C63 D84 G12 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2007-03
New Economics Papers: this item is included in nep-net
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Citations: View citations in EconPapers (6)

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