law, and we review the applicability and construction of a contractual provision requiring arbitration de novo”); Robertson v. Carmel Builders Real Estate, 2004-NMCA-056, ¶ 18, 135 N.M. 641, 92 P.3d 653 (providing a definition of “agent” and explaining that, where the material facts are undisputed, the existence of an agency relationship becomes a conclusion of law, requiring de novo review). Arbitration {14} The New Mexico Supreme Court “has repeatedly reaffirmed the strong public policy in this [S]tate ... in favor of resolution of disputes through arbitration.” Fernandez v. Farmers Ins. Co. of Ariz., 115 N.M. 622, 625, 857 P.2d 22, 25 (1993). “When a party agrees to a non-judicial forum for dispute resolution, the party should be held to NMSC-002, ¶¶1, 20, 135 N.M. 17, 84 P.3d 65 (<HOLDING>); DeArmond v. Halliburton Energy Servs., Inc.,
holding that once the party seeking to compel arbitration establishes the existence of an arbitration agreement and that the claims raised fall within the scope of that agreement the trial court must compel arbitration holding that an agreement to arbitrate is illusory if as here the employer can unilaterally modify the contract holding that in the context of uninsured motorist disputes where the insurance endorsement provides for arbitration only upon the agreement of both parties the insureds could not unilaterally compel insurer to arbitrate holding that because a valid arbitration clause existed the parties had to arbitrate all disputes when the subject matter of the dispute has a reasonable relationship to the subject matter of the contract holding in motion to compel arbitration that personal jurisdiction is not created merely by a partys agreement to arbitrate in a particular forum