The game of Euclid is an impartial game played between two players. A position in the game is a pair of integers (a, b). A move consists of replacing the current position with one in which the larger of a and b has been reduced by any multiple of the smaller. The game ends when the two numbers are equal. The players alternate moves, and the winner is the last player to make a move. Several vari...

Predicting the trajectory of a wide receiver in the game of American football requires prior knowledge about the game (e.g., route trees, defensive formations) and an accurate model of how the environment will change over time (e.g., opponent reaction strategies, motion attributes of players). Our aim is to build a computational model of the wide receiver, which takes into account prior knowled...

In this paper, a novel cluster-based approach for maximizing the energy efficiency of wireless small cell networks is proposed. A dynamic mechanism is proposed to group locallycoupled small cell base stations (SBSs) into clusters based on location and traffic load. Within each formed cluster, SBSs coordinate their transmission parameters to minimize a cost function which captures the tradeoffs ...

As shown by Peleg (1993), the core of market games is characterized by nonemptiness, individual rationality, superadditivity, the weak reduced game property, the converse reduced game property, and weak symmetry. It was not known whether weak symmetry was logically independent. With the help of a certain transitive 4-person TU game, it is shown that weak symmetry is redundant in this result. He...

Based on the actual data, this paper shows Chinese insurance market monopoly status through the Market Concentration Rate, and established the repeated price game model for three oligarchs with delayed decision according to Bertrand model. Discussed the two main goals of insurance companies faced in the game process: the expansion of profit and market share. Through the application of nonlinear...

The article uses the holistic, comprehensive and dynamic diversified complex thinking mode of big data system theory. creates a generalized linear model for value each technical tactical performance index game result in score-balanced game. To define relationship between indicators probability winning game; finally, adopt series inference method to significance indicator research found that inf...

This article focuses on the fulfillment of persistent excitation (PE) condition for signals which result from transformations by means polynomials. is essential, e.g., convergence adaptive dynamic programming algorithms due to commonly used polynomial function approximators. As theoretical statements are scarce regarding nonlinear transformation PE signals, we propose conditions system state su...