Adam Lipowski
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View article: Homonyms and context in signalling game with reinforcement learning
Homonyms and context in signalling game with reinforcement learning Open
Using multi-agent signalling game with reinforcement learning, we examine the influence of context on the dynamics of homonyms. In our approach, context denotes additional information sent to the receiver, which helps to recognise the sign…
View article: Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs
Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs Open
It is known that on directed graphs, the correlations between neighbors of a given site vanish and thus simple mean-field-like arguments can be used to describe exactly the behavior of Ising-like systems. We analyze heterogeneous modificat…
View article: Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs
Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs Open
Using a single-site mean-field approximation (MFA) and Monte Carlo simulations, we examine Ising-like models on directed regular random graphs. The models are directed-network implementations of the Ising model, Ising model with absorbing …
View article: Ising Model: Recent Developments and Exotic Applications
Ising Model: Recent Developments and Exotic Applications Open
Solving in his PhD thesis the one-dimensional version of a certain lattice model of ferromagnetism formulated by his supervisor Lenz [...]
View article: Population Symmetrization in Genetic Algorithms
Population Symmetrization in Genetic Algorithms Open
The paper presents a memetic modification of the classical genetic algorithm by introducing a cyclic symmetrization of the population, symmetrizing the parental points around the current population leader. Such an operator provides a more …
View article: Stability and Evolution of Synonyms and Homonyms in Signaling Game
Stability and Evolution of Synonyms and Homonyms in Signaling Game Open
Synonyms and homonyms appear in all natural languages. We analyze their evolution within the framework of the signaling game. Agents in our model use reinforcement learning, where probabilities of selection of a communicated word or of its…
View article: Bipartitioning of directed and mixed random graphs
Bipartitioning of directed and mixed random graphs Open
We show that an intricate relation of cluster properties and optimal\nbipartitions, which takes place in undirected random graphs, extends to\ndirected and mixed random graphs. In particular, the satisfability threshold\ncoincides with the…
View article: Entropic long-range ordering in an adsorption-desorption model
Entropic long-range ordering in an adsorption-desorption model Open
We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighboring particles is greater than a given threshold. In a certain range of parameters the model exhibits entr…
View article: Emergence of linguistic conventions in multi-agent reinforcement learning
Emergence of linguistic conventions in multi-agent reinforcement learning Open
Recently, emergence of signaling conventions, among which language is a prime example, draws a considerable interdisciplinary interest ranging from game theory, to robotics to evolutionary linguistics. Such a wide spectrum of research is b…
View article: Phase transition and power-law coarsening in an Ising-doped voter model
Phase transition and power-law coarsening in an Ising-doped voter model Open
We examine an opinion formation model, which is a mixture of Voter and Ising agents. Numerical simulations show that even a very small fraction (∼1%) of the Ising agents drastically changes the behavior of the Voter model. The Voter agents…
View article: Language competition in a population of migrating agents
Language competition in a population of migrating agents Open
Influencing various aspects of human activity, migration is associated also with language formation. To examine the mutual interaction of these processes, we study a Naming Game with migrating agents. The dynamics of the model leads to for…
View article: Prisoner’s dilemma on directed networks
Prisoner’s dilemma on directed networks Open
We study the prisoner's dilemma model with a noisy imitation evolutionary\ndynamics on directed out-homogeneous and uncorrelated directed random networks.\nAn heterogeneous pair mean-field approximation is presented showing good\nagreement…
View article: Phase transitions in Ising models on directed networks
Phase transitions in Ising models on directed networks Open
We examine Ising models with heat-bath dynamics on directed networks. Our simulations show that Ising models on directed triangular and simple cubic lattices undergo a phase transition that most likely belongs to the Ising universality cla…
View article: Robust criticality of an Ising model on rewired directed networks
Robust criticality of an Ising model on rewired directed networks Open
We show that preferential rewiring, which is supposed to mimick the behaviour of financial agents, changes a directed-network Ising ferromagnet with a single critical point into a model with robust critical behaviour. For the non-rewired r…