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This work formalizes biological emotions as intrinsic colored noise within a probabilistic network model where heterogeneous agents balance utility maximization with affective states across varying memory horizons. Mapping emotional dynamics to temporally correlated stochasticity provides a mechanistic framework for non-rational decision-making, offering an analytical resolution to the Ellsberg paradox under ambiguity. Numerical simulations reveal eight distinct operational regimes in agent opinion dynamics, showing that strong peer imitation induces deterministic chaos across the network.
Emotions operate as intrinsic colored noise rather than irrational flaws, driving interacting multi-agent networks into eight distinct dynamical regimes and resolving classic decision-theoretic anomalies like the Ellsberg paradox.
The idea that emotions in biological systems are analogous to intrinsic colored noise is advanced and justified. A model describing the dynamics of operation of biological networks under the influence of colored noise is suggested. The agents of a biological network can be represented either by biological species, such as humans and animals, or by neurons of the brain, or by the nodes of a neural network. Operational actions, or decisions, in a biological noisy network are based not only on the evaluation of utility of alternatives, but also on the agents emotions. The model is probabilistic, with the choice of alternatives characterized by the related probabilities. At the initial step, the agents make decisions individually and then start exchanging information with each other and imitating the actions of other agents, thus forming a biological network of interacting agents. Numerical simulations are accomplished for a heterogeneous society consisting of three groups of agents, one group possessing long-range memory, the other group, short-range memory, and the third group of super-rational agents acting strictly on the basis of utility, being deprived of emotions. Dynamics of opinions in different groups can be smooth, oscillatory, or chaotic. Altogether, eight types of operation are found, depending on the dynamics of group decisions. Under strong imitation effect, there appears chaotic motion in the evolution of decision choice. It is shown how the Ellsberg paradox can be resolved and how the exchange of information influences the dynamics of this paradox.