diff --git a/README.md b/README.md
index 01ff6a2..61e79d8 100644
--- a/README.md
+++ b/README.md
@@ -34,7 +34,7 @@ The Governor name is taken from [the speed-limiting device in motor vehicles](ht
 
 <details>
 <summary>
-There is also a Governor constructor with helpers on its prototype.
+There is also a Governor constructor with helpers.
 </summary>
 
 The constructor unconditionally throws when it is the `new.target`. To make the helpers available, a concrete Governor can be implemented as follows:
@@ -70,11 +70,13 @@ Governor.prototype.wrap = fn => {
 ```
 
 Similarly, `wrapIterator(it: Iterator<T> | AsyncIterator<T>): AsyncIterator<T>` takes an Iterator or AsyncIterator and returns an AsyncIterator that yields the same values but limited in concurrency by this Governor.
+
+There are also static helpers for composing Governors: `Governor.any` and `Governor.all`. `any` takes 0 or more Governors and produces a Governor that, when acquired, attempts to acquire all of the passed Governors, returns the first GovernorToken it receives, and releases any other tokens it acquires. `all` takes 0 or more Governors and produces a Governor that attempts to acquire all of the passed Governors and only returns a GovernorToken once it has received a token for each of them.
 </details>
 
 #### Open Questions
 
-- should the protocol be Symbol-based?
+- should the acquire protocol be Symbol-based?
 - maybe a sync/throwing acquire?
   - `tryAcquire(): GovernorToken`
   - or maybe not throwing? `tryAcquire(): GovernorToken | null`
@@ -83,6 +85,9 @@ Similarly, `wrapIterator(it: Iterator<T> | AsyncIterator<T>): AsyncIterator<T>`
   - also takes a `tryAcquire` function?
   - easy enough to live without it
 - alternative name: Regulator?
+- it's kind of annoying to implement both "release" and Symbol.dispose
+- should any/all take an iterable instead of varargs to match Promise.any/all?
+- should "any" be named "race" since it better matches Promise.race?
 
 ### CountingGovernor
 
diff --git a/src/governor.ts b/src/governor.ts
index 2021919..113d564 100644
--- a/src/governor.ts
+++ b/src/governor.ts
@@ -31,6 +31,80 @@ export abstract class Governor {
 
   // wrapIterable<T>(iter: Iterable<T> | AsyncIterable<T>): AsyncIterable<T> {
   // }
+
+  static all(...governors: Governor[]): Governor {
+    return new ComposedGovernorAll(governors);
+  }
+
+  static any(...governors: Governor[]): Governor {
+    return new ComposedGovernorAny(governors);
+  }
+}
+
+class ComposedGovernorAll extends Governor {
+  #governors;
+
+  constructor(governors: Governor[]) {
+    super();
+    this.#governors = governors
+  }
+
+  async acquire(): Promise<GovernorToken> {
+    let tokens = await Promise.all(this.#governors.map(g => g.acquire()));
+    function dispose() {
+      let deferred = null;
+      for (let t of tokens) {
+        try {
+          t.release();
+        } catch (e) {
+          deferred ??= e;
+        }
+      };
+      if (deferred) {
+        throw deferred;
+      }
+    }
+    return {
+      release: dispose,
+      [Symbol.dispose]: dispose,
+    } as GovernorToken;
+  }
+}
+
+class ComposedGovernorAny extends Governor {
+  #governors;
+
+  constructor(governors: Governor[]) {
+    super();
+    this.#governors = governors
+  }
+
+  acquire(): Promise<GovernorToken> {
+    // Governor.any()
+    if (this.#governors.length === 0) {
+      return Promise.resolve({
+        release: () => {},
+        [Symbol.dispose]: () => {},
+      });
+    }
+    let settled = false;
+    let { promise, resolve, reject } = Promise.withResolvers<GovernorToken>();
+    let tokenPromises = this.#governors.map(g => g.acquire());
+    for (let p of tokenPromises) {
+      p.then(token => {
+        if (!settled) {
+          settled = true;
+          resolve(token);
+        } else {
+          token.release();
+        }
+      });
+    };
+    Promise.any(tokenPromises).catch(e => {
+      reject(e);
+    });
+    return promise;
+  }
 }
 
 export interface GovernorToken {