tolerate internet latency for initial inputs

packages/engine/src/server.ts

@@ -11,6 +11,10 @@ import type {
 
 export interface ServerEngineOptions {
   historyTicks?: number;
+  /**
+   * Maximum transport delay accepted for an input. Late inputs are applied on
+   * the next simulation step; they never rewrite authoritative history.
+   */
   maxPastTicks?: number;
   maxFutureTicks?: number;
 }
@@ -63,7 +67,7 @@ export class AuthoritativeEngine<State, Input> {
   ) {
     this.game = game;
     this.historyTicks = options.historyTicks ?? game.tickRateHz * 2;
-    this.maxPastTicks = options.maxPastTicks ?? 2;
+    this.maxPastTicks = options.maxPastTicks ?? game.tickRateHz;
     this.maxFutureTicks = options.maxFutureTicks ?? game.tickRateHz;
     this.snapshotEveryTicks = game.tickRateHz / game.snapshotRateHz;
     this.state = game.createInitialState();