Page 222 - The-5th-MCAIT2021-eProceeding

For Fall Guys, as of the time of writing, matches data are not available to the public. Hence, we collected data
from a player who revealed their play data based on 500 matches that they played (Monkmanny, 2020). As Fall
Guys players are eliminated based on the obstacles each round, we used the total rounds qualified to calculate
the velocity. Eq. 1 shows the formula of for the case of Fall Guys.

/ = = (1)

Based on and measure and the velocity, mass, momentum, and potential energy using the formulas in
Fig 1, the data for PUBG, Fortnite and Fall Guys are given in Table 1 and illustrated in Figure 2.

Table 1. Mass, velocity, and GR measure for PUBG, Fortnite and Fall Guys across rounds
PUBG Fortnite Fall Guys
Rounds
1 0.880 0.120 0.009 0.927 0.073 0.008 0.010 0.990 0.044
2 0.768 0.232 0.014 0.935 0.065 0.008 0.109 0.891 0.042
3 0.621 0.379 0.020 0.961 0.039 0.006 0.136 0.864 0.044
4 0.615 0.385 0.026 0.872 0.128 0.012 0.307 0.693 0.043
5 0.550 0.450 0.036 0.959 0.041 0.007 0.450 0.550 0.049
6 0.612 0.388 0.046 0.925 0.075 0.010 0.875 0.125 0.125
7 0.408 0.592 0.078 0.901 0.099 0.012 - - -
8 - - - 0.913 0.087 0.012 - - -
9 - - - 0.957 0.043 0.009 - - -
10 - - - 0.020 0.980 0.043 - - -

From Table 1, we can see that the value gradually increases and approaches the zone value of 0.07 as the
game progresses for all three analyzed games. This condition shows that the game gets a good balance of luck
and skill at the later stages of the games. In a previous paper, we conjectured that games get more exciting and
stochastic when the number of players increases in the game, and conversely, the game will be more
deterministic if it has lesser players (Thavamuni et al., 2018). However, from our findings here, we can see that
this is not the case. The values of all three games increase as there are lesser players at the game's ending phases.
As each stage reduces the number of players in the game, this shows that the number of players of battle royale
games is indirectly proportional to the games' stochasticity.

Fig. 2. Graphs of GR, momentum and potential energy across rounds/phased for PUBG, Fortnite and Fall Guys
The three games have different patterns of mass in mind. In PUBG and Fortnite, the pattern gradually
decreases and fluctuates slightly but drastically drops in the final round, respectively. Conversely, our findings

E- Proceedings of The 5th International Multi-Conference on Artificial Intelligence Technology (MCAIT 2021) [207]
Artificial Intelligence in the 4th Industrial Revolution