CA Pub Cont Code Section 10240.13

The cost of conducting the arbitration shall be borne equally by the parties. The filing fee, witness fees, costs of discovery, or any other cost necessarily incurred by one party shall not be shared by any other party, except that the arbitrator may allow the prevailing party to recover its costs and necessary disbursements, other than attorney’s fees, on the same basis as is allowed in civil actions. These costs shall be taxed as in civil actions. Interest may be recovered as part of the award as in a civil action. The arbitrator has the same authority as a court in awarding interest and the commencement of the arbitration is equivalent to the filing of an action under subdivision (b) of Section 3287 of the Civil Code for the purpose of an award of interest. If a party has made an offer of settlement and the award is less favorable than the offer, then the party who has received the offer shall not recover any interest accruing from and after the date on which the offer was made, nor costs of suit. Reasonable attorney fees may be recovered according to any of the following:

(a)

By a party who has made an offer under the circumstances set forth in the preceding sentence but only as to those fees incurred from and after the time of making the offer.

(b)

Against a party when substantial evidence establishes that the party has acted frivolously or in bad faith in its demand for, or participation in, the arbitration.