Here you can find some research paradigms on different types of social dilemmas (e.g., prisoner’s dilemmas, public good dilemmas).
On the website of the software platform oTree, you can find several examples of social dilemma paradigms (e.g., public good dilemmas, volunteer’s dilemma, prisoner’s dilemma).
In an extensive online supplement to their article “Economic games: An introduction and guide for research” (see https://osf.io/t8m7x/), Thielmann, Böhm, Ott, and Hilbig (2021) provide standardized game instructions that researchers might use in their future work, further (practical) guidelines for the implementation of games, and more detailed descriptions of the presented game variants.
On the subpage Instruments you can also find some non-computerized materials that are often used in social dilemma research (e.g. for the assessment of Social Value Orientations, Concern of Future Consequences).