Wyo. Stat. § 1-41-106

(a) Any claim covered under this act may be compromised or settled according to the requirements in subsection (b) of this section. In settling a claim, the risk manager may require the execution and presentation of those documents required by rule and regulation including those documents which discharge or hold harmless the state, local government or public employee of all liability under the claim.

(b) The following parties are authorized to make compromises or settlements of claims in the following amounts:

(i) Repealed By Laws 1999, ch. 100, § 2.

(ii) The risk manager is authorized to settle claims for an amount not to exceed fifty thousand dollars ($50,000.00);

(iii) The risk manager, after consultation with the attorney general, is authorized to settle claims for an amount not to exceed one hundred thousand dollars ($100,000.00); and

(iv) The governor is authorized to settle claims for any amount if the action arises under federal law. The governor is authorized to settle claims brought under the Wyoming Governmental Claims Act for any amount not to exceed the maximum liability limits under the Wyoming Governmental Claims Act.

(c) The provisions of the Wyoming Administrative Procedure Act are not applicable to the payment or settlement of claims. Any person or party adversely affected in compromising or settling a claim shall pursue his remedy in district court pursuant to the Wyoming Rules of Civil Procedure.

(d) The risk manager and the state have no liability, and no cause of action exists against either the risk manager or the state, for failure to settle a claim.

(e) Except with respect to volunteer physicians providing medical services under W.S. 9-2-103(a)(i)(C), an expenditure may be made out of the state self-insurance account for settlement

or payment of any claim which is covered by liability insurance only to the extent any other liability insurance is not sufficient to satisfy the claim. Except with respect to volunteer physicians providing medical services under W.S. 9-2-103(a)(i)(C), any other liability insurance shall be considered as the primary coverage. Nothing in this section shall be deemed an increase in the limits of liability under W.S. 1-39-110 or 1-39-118(a).