@@ -249,7 +249,7 @@ class UnixBrowser(BaseBrowser):
     remote_action = None
     remote_action_newwin = None
     remote_action_newtab = None
-    remote_action_incognito = ""
+    remote_action_incognito = None
 
     def _invoke(self, args, remote, autoraise, url=None):
         raise_opt = []
@@ -288,20 +288,20 @@ def _invoke(self, args, remote, autoraise, url=None):
 
     def open(self, url, new=0, autoraise=True):
         sys.audit("webbrowser.open", url)
-        if new == 0:
-            action = self.remote_action
-        elif new == 1:
-            action = self.remote_action_newwin
-        elif new == 2:
-            if self.remote_action_newtab is None:
+        match new:
+            case 0:
+                action = self.remote_action
+            case 1:
                 action = self.remote_action_newwin
-            else:
-                action = self.remote_action_newtab
-        elif new == 3:
-            action = self.remote_action_incognito
-        else:
-            raise Error("Bad 'new' parameter to open(); " +
-                        f"expected 0, 1, 2, or 3, got {new}")
+            case 2:
+                if (action := self.remote_action_newtab) is None:
+                    action = self.remote_action_newwin
+            case 3:
+                if (action := self.remote_action_incognito) is None:
+                    action = self.remote_action_newwin
+            case _:
+                raise Error("Bad 'new' parameter to open(); " +
+                            f"expected 0, 1, 2, or 3, got {new}")
 
         args = [arg.replace("%s", url).replace("%action", action)
                 for arg in self.remote_args]
@@ -333,7 +333,7 @@ class Epiphany(UnixBrowser):
     remote_args = ['%action', '%s']
     remote_action = "-n"
     remote_action_newwin = "-w"
-    remote_action_incognito = "--incognito-mode"
+    remote_action_incognito = "-i"
     background = True
 
 
@@ -357,6 +357,7 @@ class Opera(UnixBrowser):
     remote_action = ""
     remote_action_newwin = "--new-window"
     remote_action_newtab = ""
+    remote_action_incognito = "--private"
     background = True
 
 
@@ -367,6 +368,7 @@ class Elinks(UnixBrowser):
     remote_action = ""
     remote_action_newwin = ",new-window"
     remote_action_newtab = ",new-tab"
+    remote_action_incognito = ""
     background = False
 
     # elinks doesn't like its stdout to be redirected -
@@ -434,6 +436,7 @@ class Edge(UnixBrowser):
     remote_action = ""
     remote_action_newwin = "--new-window"
     remote_action_newtab = ""
+    remote_action_incognito = "--inprivate"
     background = True
 
 
@@ -641,6 +644,7 @@ def main():
     usage = """Usage: %s [-l] | [-b browser] [-i | -n | -t | -h] url
     -n: open new window
     -t: open new tab
+    -i: open new incognito / private tab
     -b <browser>: uses <browser> to open
     -h, --help: show help""" % sys.argv[0]
     try:
@@ -651,19 +655,18 @@ def main():
         sys.exit(1)
     new_win = 0
     for o, a in opts:
-        if o == '-n': new_win = 1
-        elif o == '-t': new_win = 2
-        elif o == "-i":
-            new_win = 3
-        elif o == "-b":
-            browser = a
-        elif o == "-l":
-            for nam in _get_supported_browsers():
-                print(nam)
-            sys.exit()
-        elif o == '-h' or o == '--help':
-            print(usage, file=sys.stderr)
-            sys.exit()
+        match o:
+            case '-n': new_win = 1
+            case '-t': new_win = 2
+            case '-i': new_win = 3
+            case '-b': browser = a
+            case '-l':
+                for nam in _get_supported_browsers():
+                    print(nam)
+                sys.exit()
+            case '-h' | '--help':
+                print(usage, file=sys.stderr)
+                sys.exit()
     if len(args) != 1:
         print(usage, file=sys.stderr)
         sys.exit(1)