20.500.12556/RUP-22125 Exploring social interactions on the Adriatic network This paper explores social interactions on the Adriatic network consisting of six countries surroundingthe Adriatic Sea. Using game theory, we analyze how three well-known classes of 2x2 strategic games, namely Prisoner’s dilemma, anti-coordination and coordination games, would be played on the Adriatic network. We determine all Nash equilibria, i.e., steady states, and obtain two main results. First, anti-coordination games on the Adriatic network always induce multiple (4, 5, 7 or 12) Nash equilibria that vary with payoffs and may differin efficiency. Second, coordination games on the Adriatic network have only trivial equilibria, unless a specific condition on payoffs is met, in which case two new equilibria emerge. Our findings may be of great interest for policy makers and other scholars interested in maritime pollution control and other water-related problems, as well as biodiversity conservation, as they indicate at which maritime borders (anti)coordination issues and resulting inefficiencies may arise. Knowing that, one may give special attention to the critical maritime borders and take extra care there, thus helping to prevent potential catastrophic events. Finally, our study can also be used for academic purposes, e.g., in classroom, to demonstrate how to perform a complete Nash equilibrium analysis on some real-world network which has a relatively simple structure. Adriatic anti-coordination games coordination games game theory Nash equilibrium networks prisoner’s dilemma spatial games Jadran igre antikoordinacije igre koordinacije teorija iger Nashevo ravnovesje mreže zapornikova dilema prostorske igre true false true Angleški jezik Slovenski jezik Članek v reviji 2025-11-20 09:12:02 2025-11-20 09:12:07 2025-11-23 03:03:04 0000-00-00 00:00:00 2025 0 0 str. 1-21 no. 3 Vol. 14 Oct. 2025 0000-00-00 Zaloznikova NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.83 1848-3313 10.7225/toms.v14.n03.024 257903107 RAZ_Velkavrh_Ziga_2025.pdf RAZ_Velkavrh_Ziga_2025.pdf 1 DFCDF61F548A288A9B9FB22E7D662447 3d717cc7e678a41e4dc3a84e1c0f4a57cf8bfcb5fb97956cc4e9683f7c191203 0a07f8eb-c5e9-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32089 https://www.toms.com.hr/index.php/toms/article/view/851 0 634f2670-c5e9-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32090 Fakulteta za matematiko, naravoslovje in informacijske tehnologije 0 0 0