55 citations · 152 across the 7 of their papers we have counts for
7 papers
Prisoner's Dilemma: non-trivial results for the lowest temptation level in the Darwinian and Pavlovian evolutionary strategies
Marcelo Alves Pereira, Alexandre Souto Martinez
The lowest temptation level (T = 1) is considered a trivial case for the Prisoner's Dilemma. Here, we show that this statement is true only for a very particular case, where the pl…
Pavlovian Prisoner's Dilemma in one-dimensional cellular automata: analytical results, the quasi-regular phase, spatio-temporal patterns and parameter space exploration
Marcelo Alves Pereira, Alexandre Souto Martinez
The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each…
The influence of memory in deterministic walks in random media: analytical calculation within a mean field approximation
Cesar Augusto Sangaletti Tercariol, Alexandre Souto Martinez
Consider a random medium consisting of points randomly distributed so that there is no correlation among the distances. This is the random link model, which is the high dimensional…
Generalized exponential function and discrete growth models
Alexandre Souto Martinez, Rodrigo Silva Gonzalez, Aquino Lauri Espindola
Here we show that a particular one-parameter generalization of the exponential function is suitable to unify most of the popular one-species discrete population dynamics models int…
Continuous growth models in terms of generalized logarithm and exponential functions
Alexandre Souto Martinez, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol
Consider the one-parameter generalizations of the logarithmic and exponential functions which are obtained from the integration of non-symmetrical hyperboles. These generalizations…
Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators
Tiago Jose Arruda, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol +1
One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the…