In the case of Nebraska v. Wyoming in 1934, the Supreme Court was called upon to resolve a dispute over water rights between the two states. The controversy centered around the North Platte River, which originates in Colorado and flows through Wyoming before reaching Nebraska. Both states relied heavily on this river for irrigation purposes and had developed extensive systems to divert its waters for agricultural use. However, due to increasing demand and limited supply, conflicts arose regarding how much each state could rightfully claim from this shared resource. Nebraska claimed that it was entitled to a greater share because it had been using these waters for longer than Wyoming; whereas Wyoming argued that as an upstream state where the river originates, it should have priority access regardless of when they began utilizing their portion. The Supreme Court ruled in favor of equitable apportionment - meaning both states were granted access based on fair division rather than strict legal entitlements or historical usage patterns. This decision established important precedents concerning interstate water disputes and continues to guide similar cases today.

The dissenting opinion in the case of Nebraska v. Wyoming, 1934, argued that the Supreme Court did not have jurisdiction over this dispute between states regarding water rights to the North Platte River. The dissenting justices believed that such a matter should be resolved through negotiations and agreements among the states involved rather than by judicial decision. They expressed concern about setting a precedent where disputes between states could be brought before federal courts instead of being handled diplomatically or legislatively at state level. Furthermore, they questioned whether it was appropriate for judges to make decisions on complex issues related to water allocation and usage without having specific expertise in these areas.