1. Exploring social interactions on the Adriatic networkŽiga Velkavrh, 2025, original scientific article Abstract: 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.
Keywords: Adriatic, anti-coordination games, coordination games, game theory, Nash equilibrium, networks, prisoner’s dilemma, spatial games
Published in RUP: 20.11.2025; Views: 698; Downloads: 14
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2. Indicated total domination gameMichael A. Henning, Douglas F. Rall, 2025, original scientific article Abstract: A vertex u in a graph G totally dominates a vertex v if u is adjacent to v in G. A total dominating set of G is a set S of vertices of G such that every vertex of G is totally dominated by a vertex in S. The indicated total domination game is played on a graph G by two players, Dominator and Staller, who take turns making a move. In each of his moves, Dominator indicates a vertex v of the graph that has not been totally dominated in the previous moves, and Staller chooses (or selects) any vertex adjacent to v that has not yet been played, and adds it to a set D that is being built during the game. The game ends when every vertex is totally dominated, that is, when D is a total dominating set of G. The goal of Dominator is to minimize the size of D, while Staller wants just the opposite. Providing that both players are playing optimally with respect to their goals, the size of the resulting set D is the indicated total domination number of G, denoted by γti(G). In this paper we present several results on indicated total domination game. Among other results we prove that the indicated total domination number of a graph is bounded below by the well studied upper total domination number.
Keywords: total domination game, indicated total domination game
Published in RUP: 21.10.2025; Views: 685; Downloads: 4
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3. Evaluating the dynamics of games in a blockchain-based marketplace : final project paperGjore Janevski, 2025, undergraduate thesis Keywords: blockchain, centralized/decentralized marketplace, games, marketing, liquidity, NFT, player retention, game engagement
Published in RUP: 04.10.2025; Views: 718; Downloads: 11
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6. Vedenjske lastnosti skozi čas in med državami : eseji o posredni recipročnosti, zavajanju ter narodnostiŽiga Velkavrh, 2022, doctoral dissertation Keywords: altruism, behavioral strategies, cross-national study, deception, deception game, experiential behavior, helping game, honesty, indirect reciprocity
Published in RUP: 17.11.2022; Views: 3126; Downloads: 52
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8. Gamification in education and learningNežka Sajinčič, Anna Malgorzata Sandak, Andreja Istenič, 2020, published scientific conference contribution Keywords: basic psychological needs, education, engagement, game elements, gamification, motivation, self-determination theory
Published in RUP: 18.03.2020; Views: 3609; Downloads: 32
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9. Sprague-Grundy function of matroids and related hypergraphsEndre Boros, Vladimir Gurvich, Nhan Bao Ho, Kazuhisa Makino, Peter Muršič, 2019, original scientific article Keywords: matroid, self-dual matroid, impartial game, Sprague-Grundy function, Nim, hypergraph Nim, JM hypergraph
Published in RUP: 11.02.2020; Views: 3095; Downloads: 106
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