We study the asymptotic macroscopic properties of the mixed majority-minority game, modelling a population in which two types of heterogeneous adaptive agents, namely 'fundamentalists' driven by differentiation and 'trend-followers' driven by imitation, interact. The presence of a fraction f of trend-followers is shown to induce (a) a significant loss of informational efficiency with respect to a pure minority game (in particular, an efficient, unpredictable phase exists only for f < 1/2), and (b) a catastrophic increase of global fluctuations for f > 1/2. We solve the model by means of an approximate static (replica) theory and by a direct dynamical (generating functional) technique. The two approaches coincide and match numerical results convincingly.
Statistical mechanics of the mixed majority-minority game with random external information / De Martino, A.; Giardina, I.; Mosetti, G.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 36:34(2003), pp. 8935-8954. [10.1088/0305-4470/36/34/302]
Statistical mechanics of the mixed majority-minority game with random external information
De Martino A.;
2003
Abstract
We study the asymptotic macroscopic properties of the mixed majority-minority game, modelling a population in which two types of heterogeneous adaptive agents, namely 'fundamentalists' driven by differentiation and 'trend-followers' driven by imitation, interact. The presence of a fraction f of trend-followers is shown to induce (a) a significant loss of informational efficiency with respect to a pure minority game (in particular, an efficient, unpredictable phase exists only for f < 1/2), and (b) a catastrophic increase of global fluctuations for f > 1/2. We solve the model by means of an approximate static (replica) theory and by a direct dynamical (generating functional) technique. The two approaches coincide and match numerical results convincingly.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2976759