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1.
Exploring social interactions on the Adriatic network
Žiga 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: 330; Downloads: 13
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2.
Interlaboratory study of automated sorption measurements in wood : method for correcting systematic errors with the commonly used 0.002% min[sup] -1 stop criterion
Samuel L. Zelinka, Samuel V. Glass, Natalia Farkas, Emil Engelund Thybring, Michael Altgen, Lauri Rautkari, Simon F. Curling, Jinzhen Cao, Yujiao Wang, Tina Künniger, Matthew Schwarzkopf, 2025, original scientific article

Abstract: Many studies that use an automated sorption balance to determine a water vapor sorption isotherm for wood collect data until the moisture content change is less than or equal to 0.002% min−1 (20 µg g−1 min−1). This stop criterion has been claimed to give errors in equilibrium moisture content (EMC) predictions of less than 0.001 g g−1 but over the past 10 years, studies have shown that the actual errors can be greater than 0.01 g g−1 because the measurements are stopped well before equilibrium is reached. Despite the large errors associated with this stop criterion, it remains popular due to the speed at which isotherms can be measured. This paper utilizes data from a worldwide interlaboratory study on automated sorption balances to develop a correction method for estimating EMC of western larch (Larix occidentalis Nutt.) from the moisture content corresponding to the 20 µg g−1 min−1 criterion. The study uses data from 72 relative humidity absorption steps with hold times of 7–10 days from 21 different laboratories and eight different instrument models. EMC is defined based on the inherent mass stability of automated sorption balances determined in the first part of this interlaboratory study. On average the sorption process is less than 80% complete when the 20 µg g−1 min−1 criterion is reached, resulting in a mean absolute error (MAE) of 0.006 g g−1. The correction equation for estimating EMC reduces the MAE to 0.001 g g−1. The analysis presented in this paper, along with the correction equation, can be considered for certain use cases to reduce systematic errors and shorten measurement times.
Keywords: water vapor sorption, dynamic vapor sorption, sorption isotherms, equilibrium moisture content, interlaboratory study
Published in RUP: 14.11.2025; Views: 341; Downloads: 5
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A three-person deterministic graphical game without Nash equilibria
Endre Boros, Vladimir Gurvich, Martin Milanič, Vladimir Oudalov, Jernej Vičič, 2018, original scientific article

Abstract: We give an example of a three-person deterministic graphical game that has no Nash equilibrium in pure stationary strategies. The game has seven positions, four outcomes (a unique cycle and three terminal positions), and its normal form is of size only. Thus, the example strengthens significantly the one obtained in 2014 by Gurvich and Oudalov; the latter has four players, five terminals, and normal form of size . Furthermore, our example is minimal with respect to the number of players. Somewhat similar examples were known since 1975, but they were not related to deterministic graphical games. The small size of our example allows us to verify that it has no Nash equilibrium not only in pure but also in independently mixed (so-called behavioral) strategies. For independently mixed strategies two distinct effective payoffs can be considered: along with the classical Markovian evaluation, we also consider a priori evaluation, which may be a better fit for playing in behavioral strategies
Keywords: deterministic graphical multi-person game, perfect information, Nash equilibrium, directed cycle, terminal position, pure stationary strategy
Published in RUP: 30.03.2018; Views: 5598; Downloads: 179
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