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We analyze the performance of the best-response dynamic across all normal-form games using a random games approach. The playing sequence-the order in which players update their actions-is essentially irrelevant in determining whether the dynamic converges to a Nash equilibrium in certain classes of games (e.g. in potential games) but, when evaluated across all possible games, convergence to equilibrium depends on the playing sequence in an extreme way. Our main asymptotic result shows that the best-response dynamic converges to a pure Nash equilibrium in a vanishingly small fraction of all (large) games when players take turns according to a fixed cyclic order. By contrast, when the playing sequence is random, the dynamic converges to a pure Nash equilibrium if one exists in almost all (large) games.
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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10494490 | PMC |
http://dx.doi.org/10.1007/s00182-023-00837-4 | DOI Listing |
Clin Mol Hepatol
December 2024
Department of Surgery, Hanyang University College of Medicine, Seoul 04763, Republic of Korea.
The creation of self-organizing liver organoids represents a significant, although modest, step toward addressing the ongoing organ shortage crisis in allogeneic liver transplantation. However, researchers have recognized that achieving a fully functional whole liver remains a distant goal, and the original ambition of organoid-based liver generation has been temporarily put on hold. Instead, liver organoids have revolutionized the field of hepatology, extending their influence into various domains of precision and molecular medicine.
View Article and Find Full Text PDFNew Phytol
December 2024
Cary Institute of Ecosystem Studies, Millbrook, NY, 12545, USA.
Deadwood represents globally important carbon (C), nitrogen (N), and phosphorus (P) pools. Current wood nutrient dynamics models are extensions of those developed for leaf litter decomposition. However, tissue structure and dominant decomposers differ between leaf and woody litter, and recent evidence suggests that decomposer stoichiometry, in combination with litter quality, may affect nutrient release.
View Article and Find Full Text PDFAdv Mater
December 2024
Department of Materials Science and Engineering, Korea University, Seoul, 02841, Republic of Korea.
Graph theory has been widely used to quantitatively analyze complex networks of molecules, materials, and cells. Analyzing the dynamic complex structure of extracellular matrix can predict cell-material interactions but has not yet been demonstrated. In this study, graph theory-based mathematical modeling of RGD ligand graph inter-relation is demonstrated by differentially cutting off RGD-to-RGD interlinkages with flexibly conjugated magnetic nanobars (MNBs) with tunable aspect ratio.
View Article and Find Full Text PDFAnim Microbiome
December 2024
Museum of Vertebrate Zoology, University of California, Berkeley, 3101 Valley Life Sciences Building, Berkeley, CA, 94720-3160, USA.
Background: Species host diverse microbial communities that can impact their digestion and health, which has led to much interest in understanding the factors that influence their microbiota. We studied the developmental, environmental, and social factors that influence the microbiota of nestling barn owls (Tyto alba) through a partial cross-fostering experiment that manipulated the social and nest environment of the nestlings. We then examined the nestling microbiota before and three weeks after the exchange of nestlings between nests, along with the microbiota of the adults at the nest and nestlings in unmanipulated nests.
View Article and Find Full Text PDFJ Am Chem Soc
December 2024
Department of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Seoul 08826, Republic of Korea.
Electrochemical liquid-cell transmission electron microscopy (e-LCTEM) offers great potential for investigating the structural dynamics of nanomaterials during electrochemical reactions. However, challenges arise from the difficulty in achieving the optimal electrolyte thickness, leading to inconsistent electrochemical responses and limited spatial resolution. In this study, we present advanced e-LCTEM techniques tailored for tracking Pt/C degradation under electrochemical polarization at short intervals with high spatial resolution.
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