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Fermionic operatorial model of a system with competitive and cooperative interactions
M. Gorgone, G. Inferrera, F. Oliveri
https://arxiv.org/abs/2505.21554

Fermionic operatorial model of a system with competitive and cooperative interactions
An operatorial model of a system made by $N$ agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each agent an annihilation, creation and number fermionic operator, and interpret the mean values of the number operators over an initial condition as measures of the agents' wealth status. The dynamics of the system is assumed to be ruled by a Hermitian Hamiltonian operator $\mathcal{H}$, and the classical Heisenberg view …

An operatorial view of competition and cooperation in a network of economic agents
G. Giunta, M. Gorgone, F. Oliveri
https://arxiv.org/abs/2505.22917 https…

An operatorial view of competition and cooperation in a network of economic agents
A network of agents interacting both with competitive and/or cooperative mechanisms is modeled by using fermionic ladder operators. The time evolution of the network is assumed to be governed by a Hermitian time-independent Hamiltonian operator, and the mean values of the number operators are interpreted as a measure of the wealth status of the agents. Besides classical Heisenberg, we use the recently introduced $(H,ρ)$-induced dynamics approach to account for some actions able to provide a se…