In this paper, we study the bilateral upper-left shifts B on the weighted double sequence spaces L p (Z, v) and characterize the hypercyclicity and supercyclicity of B : L p (Z, v) → L p (Z, v) based on Salas's previous results about the bilateral weighted backward shifts acting on l 2 (Z). Furthermore, we construct a special weight sequence such that B and the weighted bilateral upper-left shifts B w are conjugate, and we generalize the results to B w : L p (Z) → L p (Z) via this conjugacy. Finally, we investigate the chaoticity of the bilateral upper-left shifts.