58 citations · 290 across the 24 of their papers we have counts for
7 papers · 1 filter
Constrained Markovian dynamics of random graphs
A. C. C. Coolen, A. De Martino, A. Annibale
We introduce a statistical mechanics formalism for the study of constrained graph evolution as a Markovian stochastic process, in analogy with that available for spin systems, deri…
Von Neumann's expanding model on random graphs
A De Martino, C Martelli, R Monasson +1
Within the framework of Von Neumann's expanding model, we study the maximum growth rate r achievable by an autocatalytic reaction network in which reactions involve a finite (fixed…
Coordination, intermittency and trends in generalized Minority Games
A. Tedeschi, A. De Martino, I. Giardina
The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response ac…
Minority games with finite score memory
Damien Challet, Andrea De Martino, Matteo Marsili +1
We analyze grand-canonical minority games with infinite and finite score memory and different updating timescales (from `on-line' games to `batch' games) in detail with various com…
Statistical mechanics analysis of the equilibria of linear economies
A. De Martino, M. Marsili, I. Perez Castillo
The optimal (`equilibrium') macroscopic properties of an economy with industries endowed with different technologies, commodities and one consumer are derived in the limit…
Dynamics of multi-frequency minority games
Andrea De Martino
The dynamics of minority games with agents trading on different time scales is studied via dynamical mean-field theory. We analyze the case where the agents' decision-making proces…
Replica symmetry breaking in the minority game
Andrea De Martino, Matteo Marsili
We extend and complete recent work concerning the analytic solution of the minority game. Nash equilibria (NE) of the game have been found to be related to the ground states of a d…