In stories written for the stage and many written for television series the bulk of the conflict will be between people. One person or another will want something from someone else or want them to do something for them. Of course there would be no story if they easily got what they wanted, so they need to get around certain obstacles; namely the other's lack of cooperation. In these types of conflicts you will find characters going at the problem using many kinds of tactics to get the other person in a position to be susceptible to their fulfilling their desires.

Avoidance

If a character wants somebody to do something and they won't, that character can simply ignore them and see what happens. People in situations where they are mutually dependent don't like being shut out and if they don't like it bad enough they will open up to another's demands. It's counter-intuitive, but a character doing nothing can often bring about the conditions to get something they want.

Competition

A more direct way to get something is being confrontational about it and competing for everything and anything else the other wants. If a character wants another go to the store to buy tampons for them and won't, suddenly the character could rush to the bathroom when the other needs to use it, they could fight over who gets to choose what radio station is on, or could try to take the other's seat when they get up. Competition is fun sometimes, but it could also be used to wear somebody down to get them to do what you want ultimately.

Collaboration

Instead of being a negative element in another's life you can often get what you want with honey. A character could ingratiate him or herself with another by offering to help them do whatever it is they want to do. The hope is that they will feel indebted, become more sympathetic, and do what they wanted them to do in the first place.

Compromise

This is one of the most mature ways to handle a conflict, which is why it's so rare. When a character is unable to get someone to do something or get something they want, coming up with a half-way solution often will suffice depending on how deep the desire is. Many characters find their way toward knowing their true desires by taking notice of what they are willing to compromise on along the way. Not everything needs to be a fight to the finish.

Accommodating

A character can get another to go along with what they want by doing whatever they can to make it easier for them. If they want another to go buy tampons, they might offer to drive them there. If the other doesn't want to lose the time, something could be done to help make up for it: offer to do chores for them or otherwise compensate.

Contention

If a character isn't getting anywhere with these other ways, it might be time to just plain argue. Instead of the more subtle techniques to goad another quietly a character may just have to appeal to emotion and intellect. The character may have to point out all the times they've helped this other person in the past and what they were going to do for them in the future. They might point out how it's not such a ridiculous request and all the reasons why they should help out.

These are techniques that could help if you're stuck in a story and aren't sure what to do next or might help determine whether what you have written already is necessary. It's hard to know the meaning behind words sometimes and some of us can fill pages of dialogue without much regard to intent. If you want your drama to be taut and lean then you should analyze all lines to see what they are about. These conflict types will help you quantify what you've written and make sure the words exchanged are germane to the conflict in the story you're writing and not just witty banter alone.