"arbitration case against" is correct and usable in written English.
You would use it to refer to a legal case involving two parties in which an outside arbiter (mediator) is tasked to settle the dispute. For example: "The plaintiff filed an arbitration case against the defendant to determine ownership of the property".
They lost everything and have filed an arbitration case against the firm to recover their losses.
Konstantin Starikovitch, a Russian weight lifter, won an arbitration case against the United States federation.
Howard won his salary arbitration case against the Phillies, when he was awarded $10 million.
Now the comedian is back in the news, as he lost a big arbitration case against JPMorgan Chase.
The Philippines recently filed an arbitration case against China before the international tribunal that governs the United Nations Convention on the Law of the Sea.
Legal/Regulatory FAIR GAME Ms. Morgenson examined documents that were unsealed recently in a securities arbitration case against the Smith Barney unit of Citigroup.
The S.E.C. settlement contains details that could be used by lawyers bringing arbitration cases against him.
Mr. Bran pointed to three arbitration cases against the firm decided recently in which claimants won no money.
The accusations could provide ammunition for investors seeking to bring arbitration cases against Merrill, contending that they were misled by fraudulent research.
Charles T. Jeremiah, a Houston lawyer who is representing two black Halliburton employees in unrelated arbitration cases against the company, said that his clients were singled out for undesirable jobs at sites and endured racist jokes and slurs.
Lewis D. Lowenfels, an expert in securities law at Tolins & Lowenfels in New York, said the ruling in California was a significant boost not only to aggrieved investors in that state, but also to investors anywhere who bring arbitration cases against brokerage firms.
