New results for Domineering from combinatorial game theory endgame databases
We have constructed endgame databases for all single-component positions up to 15 squares for Domineering, filled with exact Combinatorial Game Theory (CGT) values in canonical form. The most important findings are as follows. First, as an extension of Conway's [8] famous Bridge Splitting Theorem for Domineering, we state and prove another theorem ...
Jos W.H.M. Uiterwijk, Michael Barton
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Risk assessment of karst water inrush in tunnel engineering based on improved game theory and uncertainty measure theory [PDF]
The sudden inrush of water poses a serious threat to the safety of workers during tunnel construction in the karst region of southwest China. To mitigate this risk, a model is proposed to assess the risk of water surge through a tunnel by combining ...
Rui Zhao +4 more
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Drive Risk Assessment Based on Game Theory Combinatorial Weighting—Unascertained Measure Theory
The driving risk is assessed using the theory of unascertained measures to determine the presence of a conditional switch in the control system of a human-machine codriving vehicle. Relevant risk indicators for driving are selected, including five driver-
Lingyu Zhang +3 more
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Middle School Classroom Furniture Evaluation Model Based on Combinatorial Weighting of Game Theory
Within the context of educational innovation, diversified teaching models impose higher requirements on classroom furniture adaptability. However, conflicting multi-stakeholder demands and configuration imbalances constrain the upgrading of educational ...
Yu Liang, Yihui Yan, Huiyuan Guan
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Vulnerability Evaluation of Port Logistics System Under Public Health Emergencies [PDF]
It is the goal that evaluating scientifically port logistics system vulnerability level under public health emergencies, exploring the influencing factors of brittleness and improving the production operation and management efficiency of port logistics ...
Liu Cuilian, Jiang Hao, Qin Kun
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Arboreal Categories: An Axiomatic Theory of Resources [PDF]
Game comonads provide a categorical syntax-free approach to finite model theory, and their Eilenberg-Moore coalgebras typically encode important combinatorial parameters of structures.
Samson Abramsky, Luca Reggio
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Complete Representations and Neat Embeddings
Let ...
Tarek Sayed Ahmed
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Playing Games with Algorithms: Algorithmic Combinatorial Game Theory [PDF]
Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we begin with general background in Combinatorial Game Theory, which analyzes ideal play in perfect-information ...
Demaine, Erik D., Hearn, Robert A.
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Impact Evaluation of Prefabricated Buildings Cost on Game Theory-Cloud Model
Prefabricated buildings have the advantages of energy-saving, high efficiency, and high quality, which is energetically promoted in China’s construction industry.
Na Li, Zhifeng Fan
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Distribution functions of linear combinations of lattice polynomials from the uniform distribution [PDF]
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order ...
Kojadinovic, Ivan, Marichal, Jean-Luc
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