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Urn models with random multiple drawing and random addition
Irene Crimaldi, Pierre-Yves Louis, Ida Germana Minelli
We consider an urn model with multiple drawing and random time-dependent addition matrix. The model is very general with respect to previous literature: the number of sampled balls…
Interacting non-linear reinforced stochastic processes: synchronization and no-synchronization
Irene Crimaldi, Pierre-Yves Louis, Ida Germana Minelli
'Rich get richer' rule comforts previously often chosen actions. What is happening to the evolution of individual inclinations to choose an action when agents do interact ? Interac…
Opinion dynamics with Lotka-Volterra type interactions
Michele Aleandri, Ida G. Minelli
We investigate a class of models for opinion dynamics in a population with two interacting families of individuals. Each family has an intrinsic mean field "Voter-like" dynamics wh…
Realizable monotonicity for continuous-time Markov processes
Paolo Dai Pra, Pierre-Yves Louis, Ida Minelli
We formalize and analyze the notions of stochastic monotonicity and realizable mono-tonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set.…
Monotonicity and complete monotonicity for continuous-time Markov chains
Paolo Dai Pra, Pierre-Yves Louis, Ida Minelli
We analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in…
Synchronization via interacting reinforcement
Paolo Dai Pra, Pierre-Yves Louis, Ida G. Minelli
We consider a system of urns of Polya-type, with balls of two colors; the reinforcement of each urn depends both on the content of the same urn and on the average content of all ur…