A decision maker must divide a prize between multiple agents. The prize may be divisible (e.g., a budget, pork-barrel spending) in which case he prefers to award larger shares of the prize to relatively more-qualified agents, or it may be non-divisible (e.g., jobs, college admissions) in which case he prefers to award the limited number of prizes to the most-qualified agents. He is, however, ex...

We study Maker/Breaker games on the edges of the complete graph, as introduced by Chvátal and Erdős. We show that in the (m : b) game played on KN , the complete graph on N vertices, Maker can achieve a Kq for q = ( m log 2 (b+1) − o(1) ) · log2 N , which partially solves an open problem by Beck. Moreover, we show that in the (1 : 1) game played on KN for a sufficiently large N , Maker can achi...

In a generalized Maker-Breaker positional game, Maker and Breaker play in turns. Maker makes a moves in each turn and Breaker makes b moves in each turn. We choose Maker to be the first player, although this nearly always makes no difference in the outcome of the game. We call such games (a : b)-games. If a = b, the game is fair, otherwise it is biased. If a = b > 1, the game is accelerated. In...

This paper discussed the development of multi-maker augmented reality for learning Jawi in order to complement formal study school. We conducted an experiment with N=10 participants from Pusat Minda Lestari, UMS age 5 and 6 years old, effectiveness using developed mobile application. prepared a test environment comprising electroencephalography (EEG) system (AR) application analysis testing. Re...