The use of the term “Ye” to represent an Early Modern English form of the word “the” (traditionally pronounced /ðiː/), such as in “Ye Olde Shoppe”, is technically incorrect. This mistaken attribution is due to the medieval usage of the letter thorn (þ) the predecessor to the modern digraph “th”. The word “The” was thus written Þe. Medieval printing presses did not contain the letter “thorn”, so the y was substituted owing to its similarity with some medieval scripts, especially later ones. – wikipedia
It’s not Ye as in yes, it’s actually The, even though all those old time-y signs are also incorrectly printed, as they’re missing the thorn character.
None of which helps this The Olde Courist Crappe sign (found here), however.