In real life, there are strikes that cause economies to go into chaos. I think such strikes should become part of Eve Online.
As agents in each station Unionize, there will undoubtedly be conflicts. Conflicts that result in Unions going to war for dominance of the Trade. How the new scenario would work is simple. Trade Unions would be established in each station. Trade missions will need to first be ran by the player to increase the influence of the Trade Union that the player is part of. As the trade union gets bigger, hostile trade unions would none-the-less try and stop the bigger trade union from taking all of the contracts. Thus resulting in conflict and PvP between the trade unions.
As a member of your trade union, you would be required to perform missions that boost your trade unions influence in the system and surrounding systems. When strikes take place demanding better wages or working conditions, your job would be to ensure that goods and services are still maintained during the strike, to get products where they need to go, thus a secret agent would approach you to give you the mission. The mission would yield LP for the trade union you are part of along with trade union clothes for your character to wear + ISK and Trade Union ships of destroyer, cruiser and battlecruiser class, available only from running missions for the trade union. At a random point, your agent would tell you that the enemy trade union has become aware of your actions and has sent player ships on missions to destroy your precious cargo. It would be at this time that you could engage the enemy trade union player in ship-to-ship PvP.
Or you could run support missions for the trade union that is striking which will also yield the same items that you would get from running the secret agent missions for the trade union. There would be more PvP in the Support the Striker Missions compared to the Support the Secret Trade Union Agent Missions as the goal of the striker support missions would be to eliminate the competitions product by destroying NPC and player-based ships hauling from the enemy trade union.