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Regensburg 2007 – wissenschaftliches Programm

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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme

AKSOE 3: Dynamics of Groups and Organizations II

AKSOE 3.3: Vortrag

Montag, 26. März 2007, 15:00–15:30, H8

Non-equilibrium phase transitions in negotiation dynamicsAndrea Baronchelli1,2, Luca Dall Asta3,4,5, Alain Barrat3,4,6, and •Vittorio Loreto11Dipartimento di Fisica, Universita “La Sapienza” and SMC-INFM, P.le A. Moro 2, 00185 ROMA, (Italy) — 2Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord, Mòdul B4 c. Jordi Girona 1-3 08034 Barcelona (Spain) — 3LPT, CNRS, UMR 8627, Orsay, F-91405 (France) — 4Univ Paris-Sud, Orsay, F-91405 (France) — 5Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34014, Trieste (Italy) — 6Complex Networks Lagrange Laboratory, ISI Foundation, Turin, Italy

We present a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The key elements of negotiation are memory and feedback, while processes of opinion formation are usually modeled exploiting local majority or imitation rules. The model displays a non-equilibrium phase transition from an adsorbing state in which all agents reach a consensus to an active not-frozen stationary state characterized either by polarization or fragmentation in clusters of agents with different opinions. The transition is driven by external noise, intended as an ‘irresolute attitude’ of the agents in making decisions. We recover analytically the critical values of this parameter for various topologies of the agents’ interaction network, and find results in perfect agreement with data obtained from numerical simulations.

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