to have each person pay his or her own expenses

When each person (typically in a dating scenario) pays for their own meal.

In dating, when both parties pay for their own bills, thus effectively dispelling the double-standard where men are always expected to pay.

The phrase "going Dutch" probably originates from Dutch etiquette. In the Netherlands, it is not unusual to pay separately when dating. The Dutch were already internationally known as scrooges, and English rivalry with The Netherlands especially during the period of the Anglo-Dutch Wars gave rise to several phrases including Dutch that promote certain negative stereotypes. Examples include Dutch courage, Dutch uncle and Dutch wife. The particular stereotype associated with this usage is the idea of Dutch people as ungregarious and selfish.

In Spain, "going Dutch" is attributed to Catalans, due to a stereotype that they are greedy. A stereotypical non-Catalan Spaniard would compete to invite the group.
In Italy, the expression pagare alla romana can be translated as: "To pay like people of Rome" or "to pay like they do in Rome". It has the same meaning as "going Dutch".
Curiously, in South American countries exist the Spanish phrase pagar a la americana (literally "To pay American style") which refers to a treat attributed to North Americans or Canadians.

When you go an a date and everyone pays separately.

When two partners on a date choose to pay their own respective portions of the bill instead of the man paying for it all.

Going dutch means "to split a bill"

So lets say you go to a restaurant and have to pay $100 for your meal with 2 person's , you can choose to go dutch and both have to pay $50

Going dutch is originated from the Dutch people and culture , the dutch people are known for there greediness