Truels, or the survival of the weakest

Details Truels, or the survival of the weakest Truels, or the survival of the weakest

2006-06-08

arxiv.org/abs/math/0606181v1

Mathematics

Probability

11 pages, 11 figures

Scientific paper

In this paper we review some of the main results obtained in the field of truels. A "truel" is a generalization of a duel involving three players. Depending on the rules used for chosing the players, we may distinguish between the random, sequential and simultaneous truel. A paradoxical result appears in these games, as the player with the highest marksmanship does not necessarily possess the highest survival (or winning) probability. In this work we limit ourselves to the random and sequential truels in which players use their best possible strategy with no coalitions. Furthermore, we have modified the random truel and converted it into an opinion model. In this version each of the three players holds a different opinion on a given topic. We address next the question of who wins a "truel league". We will see that, despite the paradoxical result mentioned above, still the distribution of winners is peaked around the players with the higher marksmanship for the random and opinion versions. In the sequential truel, however, the paradoxical result remains partially since the distribution of winners is peaked around the intermediate players. If the rules of truels are extended from three to $N$ players, the paradoxical results shows up even more clearly since as $N$ increases it is more difficult for the player with the highest marksmanship to win the game. Finally, we consider the dynamics of the games in a spatial distribution in a given network of interactions.

Affiliated with

Also associated with

No associations

Rating

Truels, or the survival of the weakest does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Truels, or the survival of the weakest, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Truels, or the survival of the weakest will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507374