par Abad Jarillo, Enrique 
Référence AIP Conference Proceedings, 779, page (149-153)
Publication Publié, 2005-07
Référence AIP Conference Proceedings, 779, page (149-153)
Publication Publié, 2005-07
Article révisé par les pairs
| Résumé : | We consider a gambling game with two different kinds of trials and compute the duration of the game (averaged over all possible initial capitals of the players) by a mapping of the problem to a 1D lattice walk of two particles reacting upon encounter. The relative frequency of the trials is governed by the synchronicity parameter p of the random walk. The duration of the game is given by the mean time to reaction, which turns out to display a different behavior for even and odd lattices, i.e. this quantity is monotonic in p for odd lattices and non-monotonic for even lattices. In the game picture, this implies that the players minimize the duration of the game by restricting themselves to one type of trial if their joint capital is odd, otherwise a non-symmetric mixture of both trials is needed. © 2005 American Institute of Physics. |
