An operatorial view of competition and cooperation in a network of economic agents
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909626529742848 |
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| author | Giunta, G. Gorgone, M. Oliveri, F. |
| author_facet | Giunta, G. Gorgone, M. Oliveri, F. |
| contents | 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 self-adjustment of the network according to its time evolution. Some numerical simulations are presented and discussed. Remarkably, we show that, in a network where cooperation may emerge, the average wealth of the agents is higher, and there is a very low level of inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22917 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An operatorial view of competition and cooperation in a network of economic agents Giunta, G. Gorgone, M. Oliveri, F. Physics and Society 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 self-adjustment of the network according to its time evolution. Some numerical simulations are presented and discussed. Remarkably, we show that, in a network where cooperation may emerge, the average wealth of the agents is higher, and there is a very low level of inequality. |
| title | An operatorial view of competition and cooperation in a network of economic agents |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2505.22917 |