Here are some links on "1 Year Old Discipline." Some are more helpful than others (the first 2 listed are the best):
http://www.parents.com/toddlers/development/discipline-sp...
http://www.aboutourkids.org/articles/about_discipline_hel...
http://www.babyexpert.com/Toddler/Discipline-for-1~3-year...
http://answers.yahoo.com/question/index?qid=2009032420305...
http://www.askmoxie.org/2005/12/qa_aggression_i.html
http://parents.berkeley.edu/advice/toddler/discipline.html
A 1 year old is NOT going to understand the FULL ramifications of 'cause & effect" or that he has to think ahead and analyze and then problem solve a situation and/or punishment.
Cognitive ability at this age, is not fully developed yet. So, swatting him or time-outs don't work. Not age appropriate. It may work with pets, but not a 1 year old baby. My son, also laughed when Daddy would scold him for hitting. That's all he understood, that it was funny and how come daddy's face got all scrunched up and his voice got gruff sounding? To a 1 year old, they "see" things differently... not understanding a situation fully. They do NOT know what facial expressions mean, much less a person's voice innuendos, or what a 'good' or 'bad' emotion is. So we have to teach them.
I taught my kids all about what feelings and emotions mean and the 'names' for it. From the time my kids were only about 2 years old (my daughter from before 2), they could tell me if they were "happy" or "sad" or "mad" or "frustrated." It REALLY helps to get them fluent in these things as well. It makes them very articulate, emotionally and cognitively.
Also, a 1 year old has NO impulse control. (even teens don't). So they will hit again. Even 5 year olds hit. It's not a 'gesture' that will just get eradicated... but, a child's "understanding' of it will evolve and mature, per their age-set.
ALSO, a 1 year old does NOT understand "emotions" yet. So, it takes time. Teaching them. Not until at least 3 years old, will their emotions evolve to the point of "knowing" it. But not as well as adults.
Some kids this age hit, pinch, bite, and kick. It's 'normal' for this age. Its not anything personal.
Sorry, but it will not just 'stop.' But, the "phase" will change. It does pass. Both my kids went through this too. Most kids do. And now, my kids know better. There will be TONS more phases coming up, both good and not so 'cute' ones that make us cringe. LOL
All the best, hope the links helps,
Susan