dorsal/arxiv
View SchemaMemory based Boolean game and self-organized phenomenon on networks
| Authors | Zi-Gang Huang, Zhi-Xi Wu, Jian-Yue Guan, Ying-Hai Wang |
|---|---|
| Categories | |
| ArXiv ID | physics/0701102 |
| URL | https://arxiv.org/abs/physics/0701102 |
| Journal | Chin.Phys.Lett.23,3119(2006) |
Abstract
We study a memory-based Boolean game (MBBG) taking place on the regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free parameter p among 0 and 1 is introduced to denote the strength of the agents' willing to make a decision according to its memory. We find that, given proper willing strength p, the MBBG system can spontaneously evolve to a state of better performance than the random game; while for larger p, the herd behavior emerges which reduces the system profit. By analyzing the dependence of the system's dynamics on the memory capacity M, we find that a higher memory capacity favors the emergence of the better performance state, and effectively restrains the herd behavior, therefore increases the system profit. Considering the high cost of long-time memory, the enhancement of memory capacity for restraining the herd behavior is also discussed, and the M=5 is suggested to be one good choice.
{
"annotation_id": "4daaf589-0fe0-49b2-b289-f76e0a481aa2",
"date_created": "2026-03-02T18:01:17.175000Z",
"date_modified": "2026-03-02T18:01:17.175000Z",
"file_hash": "4eef4538379b298f4a0c9749054c7750b1ac4240fd45daca48463be2b80ff7b2",
"private": false,
"record": {
"abstract": "We study a memory-based Boolean game (MBBG) taking place on the regular ring,\nwherein each agent acts according to its local optimal states of the last M\ntime steps recorded in memory, and the agents in the minority are rewarded. One\nfree parameter p among 0 and 1 is introduced to denote the strength of the\nagents\u0027 willing to make a decision according to its memory. We find that, given\nproper willing strength p, the MBBG system can spontaneously evolve to a state\nof better performance than the random game; while for larger p, the herd\nbehavior emerges which reduces the system profit. By analyzing the dependence\nof the system\u0027s dynamics on the memory capacity M, we find that a higher memory\ncapacity favors the emergence of the better performance state, and effectively\nrestrains the herd behavior, therefore increases the system profit. Considering\nthe high cost of long-time memory, the enhancement of memory capacity for\nrestraining the herd behavior is also discussed, and the M=5 is suggested to be\none good choice.",
"arxiv_id": "physics/0701102",
"authors": [
"Zi-Gang Huang",
"Zhi-Xi Wu",
"Jian-Yue Guan",
"Ying-Hai Wang"
],
"categories": [
"physics.soc-ph"
],
"journal_ref": "Chin.Phys.Lett.23,3119(2006)",
"title": "Memory based Boolean game and self-organized phenomenon on networks",
"url": "https://arxiv.org/abs/physics/0701102"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2719d9b8-06f7-4d9a-9a57-5bc464880fd9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}