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Mathematical analysis of the Royal Game of Ur


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Alvi, F., & Ahmed, M. (2011). Complexity analysis and playing strategies for ludo and its variant race games. 2011 IEEE Conference on Computational Intelligence and Games (CIG’11), 134–141. https://doi.org/10.1109/CIG.2011.6031999Search in Google Scholar

Ballard, B. W. (1983). The *-minimax search procedure for trees containing chance nodes. Artificial Intelligence, 21(3). https://doi.org/https://doi.org/10.1016/S0004-3702(83)80015-0Search in Google Scholar

Becker, A. (2007). The royal game of ur. In I. L. Finkel (Ed.), Ancient board games in perspective: Papers from the 1990 british museum colloquium (pp. 11–15). British Museum Press.Search in Google Scholar

Bell, R. C. (1979). Board and Table Games From Many Civilizations (Revised, Vol. 1 and 2). Dover Publications, Inc.Search in Google Scholar

Botermans, J. (2008). The book of games: Strategy, tatics & history. Sterling.Search in Google Scholar

Crist, W., Dunn-Vaturi, A.-E., & de Voogt, A. (2016). Ancient Egyptians at Play: Board Games Across Borders. Bloomsbury Academic.Search in Google Scholar

de Voogt, A., Dunn-Vaturi, A.-E., & Eerkens, J. W. (2013). Cultural transmission in the ancient Near East: Twenty squares and fifty-eight holes. Journal of Archaeological Science, 40, 1715–1730.Search in Google Scholar

Eklov, E. (2021a). Game Complexity I: State-Space & Game-Tree Complexities. https://www.pipmodern.com/post/complexity-state-space-game-treeSearch in Google Scholar

Eklov, E. (2021b). Game Complexity II: Modern Board Game Analysis. https://www.pipmodern.com/post/complexity-modern-board-game-analysisSearch in Google Scholar

Eli. (2021). Royal game of ur - game of 20 squares. https://www.ancientgames.org/royal-game-ur-game-20-squares/Search in Google Scholar

Finkel, I. L. (2007). On the rules for the royal game of ur. In I. L. Finkel (Ed.), Ancient board games in perspective: Papers from the 1990 british museum colloquium (pp. 16–32). British Museum Press.Search in Google Scholar

Heyden, C. (2009). Implementing a Computer Player for Carcassonne [Master thesis]. Maastricht University. https://project.dke.maastrichtuniversity.nl/games/files/msc/MasterThesisCarcassonne.pdfSearch in Google Scholar

Lamont, P. (2021). The Royal Game of Ur Analysis. https://github.com/Sothatsit/RoyalUrAnalysis/blob/main/docs/Agents.mdSearch in Google Scholar

Lawrence D. Brown, T. T. C., & DasGrupta, A. (2001). Interval Estimation for a Binomial Proportion. Statistical Science, 16(2), 101–133.Search in Google Scholar

Masters, J. (2021). The Royal Game of Ur & The Game of 20 Squares. https://www.tradgames.org.uk/games/Royal-Game-Ur.htmSearch in Google Scholar

Michon, G. P. (2021). Royal game of ur (game of twenty squares). http://www.numericana.com/answer/ur.htmSearch in Google Scholar

Murray, H. J. R. (1952). A History of Board-games Other Than Chess. Oxford University Press.Search in Google Scholar

Packel, E. W. (2006). The mathematics of games and gambling. The Mathematical Association of America.Search in Google Scholar

Papahristou, N., & Refanidis, I. (2012). Improving temporal difference learning performance in backgammon variants. In H. J. van den Herik & A. Plaat (Eds.), Advances in computer games (2011) (pp. 134–145). Springer Science + Business Media. https://www.academia.edu/2569666/Improving Temporal Difference Learning Performance in Backgammon VariantsSearch in Google Scholar

Rabin, M. (2002). Inference by Believers in the Law of Small Numbers. The Quarterly Journal of Economics, 117(3), 775–816.Search in Google Scholar

Rabin, M., & Vayanos, D. (2010). The Gambler’s and Hot-Hand Fallacies: Theory and Applications. The Review of Economic Studies, 77, 730–778.Search in Google Scholar

Royal game of ur. (2021). https://gameofuronline.com/Search in Google Scholar

Rozanov, Y. A. (2013). Probability theory: A concise course. Dover Publications.Search in Google Scholar

The rules of royal game of ur. (2021). https://www.mastersofgames.com/rules/royal-ur-rules.htmSearch in Google Scholar

Schaeffer, J., Burch, N., Björnsson, Y., & Kishimoto, A. (2007). Checkers Is Solved. Science, 317(5844), 1518–1522.Search in Google Scholar

Skiriuk, D. (2021). The rules of royal game of ur. https://skyruk.livejournal.com/231444.htmlSearch in Google Scholar

Tesauro, G. (2002). Programming backgammon using self-teaching neural nets. Artificial Intelligence, 134, 181–199.Search in Google Scholar

Tom Scott vs Irving Finkel: The Royal Game of Ur — PLAYTHROUGH — International Tabletop Day 2017. (2017). https://www.youtube.com/watch?v=WZskjLq040I&t=6sSearch in Google Scholar

van den Herik, H. J., Uiterwijk, J. W., & van Rijswijck, J. (2002). Games solved: Now and in the future. Artificial Intelligence, 134, 277–311.Search in Google Scholar

Woolley’s excavations. (2021). http://www.ur-online.org/about/woolleys-excavations/Search in Google Scholar