The problem is you're fighting uphill against individually-rational behaviour. If you keep your word while everyone around you breaks theirs, you will feel like a sucker while they get ahead. Most people will think "if you can't beat 'em, join 'em" after a few rounds of this.
But being known as an honest man is great. I remember reading an article years ago (my search-fu fails me, sorry) about a guy who stopped lying about everything, even little white lies. He did this first as a result of losing a bet, but later found that he really enjoyed the trust people put in his words and decided to keep going. OTOH, if you are known as someone whose word is his bond, that is unfortunately an exploitable vulnerability.
It is not clear to me how you rebuild this norm at a societal level.
But being known as an honest man is great. I remember reading an article years ago (my search-fu fails me, sorry) about a guy who stopped lying about everything, even little white lies. He did this first as a result of losing a bet, but later found that he really enjoyed the trust people put in his words and decided to keep going. OTOH, if you are known as someone whose word is his bond, that is unfortunately an exploitable vulnerability.
It is not clear to me how you rebuild this norm at a societal level.