diff --git a/src/client/game_client.py b/src/client/game_client.py
index b7450b0..4e5b44b 100644
--- a/src/client/game_client.py
+++ b/src/client/game_client.py
@@ -11,7 +11,7 @@ from ..shared.protocol import (
     create_move_message,
     create_start_game_message,
 )
-from ..shared.models import GameState
+from ..shared.models import GameState, Position
 from ..shared.constants import (
     DEFAULT_HOST,
     DEFAULT_PORT,
@@ -51,6 +51,10 @@ class GameClient:
         self.running = True
         self.clock = pygame.time.Clock()
 
+        # Client-side prediction
+        self.player_input_buffers: dict[str, list] = {}  # player_id -> input_buffer
+        self.predicted_heads: dict[str, Position] = {}  # player_id -> predicted head position
+
     async def connect(self) -> None:
         """Connect to the game server."""
         try:
@@ -125,6 +129,8 @@ class GameClient:
         elif message.type == MessageType.STATE_UPDATE:
             state_dict = message.data.get("game_state")
             self.game_state = GameState.from_dict(state_dict)
+            # Clear predictions on authoritative update
+            self.predicted_heads.clear()
 
         elif message.type == MessageType.PLAYER_JOINED:
             player_id = message.data.get("player_id")
@@ -146,6 +152,27 @@ class GameClient:
             error = message.data.get("error")
             print(f"Error from server: {error}")
 
+        elif message.type == MessageType.PLAYER_INPUT:
+            # Update input buffer and predict next position
+            player_id = message.data.get("player_id")
+            direction = tuple(message.data.get("direction", (1, 0)))
+            input_buffer = [tuple(d) for d in message.data.get("input_buffer", [])]
+
+            self.player_input_buffers[player_id] = input_buffer
+
+            # Predict next head position
+            if self.game_state:
+                snake = next((s for s in self.game_state.snakes if s.player_id == player_id), None)
+                if snake and snake.body:
+                    # Use first buffered input if available, otherwise current direction
+                    next_dir = input_buffer[0] if input_buffer else direction
+                    head = snake.body[0]
+                    predicted_head = Position(
+                        head.x + next_dir[0],
+                        head.y + next_dir[1]
+                    )
+                    self.predicted_heads[player_id] = predicted_head
+
     def handle_input(self) -> None:
         """Handle pygame input events."""
         for event in pygame.event.get():
@@ -178,8 +205,8 @@ class GameClient:
                 # Handle input
                 self.handle_input()
 
-                # Render current state
-                self.renderer.render(self.game_state, self.player_id)
+                # Render current state with predictions
+                self.renderer.render(self.game_state, self.player_id, self.predicted_heads)
 
                 # Maintain frame rate
                 self.clock.tick(FPS)
diff --git a/src/client/renderer.py b/src/client/renderer.py
index 57b9dd5..017778f 100644
--- a/src/client/renderer.py
+++ b/src/client/renderer.py
@@ -30,13 +30,15 @@ class Renderer:
         self.font = pygame.font.Font(None, 36)
         self.small_font = pygame.font.Font(None, 24)
 
-    def render(self, game_state: Optional[GameState], player_id: Optional[str] = None) -> None:
+    def render(self, game_state: Optional[GameState], player_id: Optional[str] = None, predicted_heads: dict = None) -> None:
         """Render the current game state.
 
         Args:
             game_state: Current game state to render
             player_id: ID of the current player (for highlighting)
+            predicted_heads: Dict mapping player_id to predicted head Position
         """
+        predicted_heads = predicted_heads or {}
         # Clear screen
         self.screen.fill(COLOR_BACKGROUND)
 
@@ -65,6 +67,13 @@ class Renderer:
                 head_color = tuple(min(c + 50, 255) for c in color)
                 self.draw_cell(snake.body[0], head_color)
 
+                # Draw predicted head position (if available)
+                if snake.player_id in predicted_heads:
+                    predicted_pos = predicted_heads[snake.player_id]
+                    # Draw with semi-transparent overlay (darker color)
+                    predicted_color = tuple(int(c * 0.6) for c in head_color)
+                    self.draw_cell(predicted_pos, predicted_color)
+
         # Draw scores
         self.draw_scores(game_state, player_id)
 
@@ -105,7 +114,9 @@ class Renderer:
             player_id: Current player's ID
         """
         y_offset = 10
-        for snake in game_state.snakes:
+        # Sort snakes by length descending
+        sorted_snakes = sorted(game_state.snakes, key=lambda s: len(s.body), reverse=True)
+        for snake in sorted_snakes:
             color = COLOR_SNAKES[snake.color_index % len(COLOR_SNAKES)]
 
             # Prepare length text
diff --git a/src/server/game_server.py b/src/server/game_server.py
index 86b1098..aa1ca34 100644
--- a/src/server/game_server.py
+++ b/src/server/game_server.py
@@ -14,6 +14,7 @@ from ..shared.protocol import (
     create_player_left_message,
     create_game_started_message,
     create_error_message,
+    create_player_input_message,
 )
 from ..shared.constants import DEFAULT_HOST, DEFAULT_PORT, TICK_RATE, COLOR_SNAKES
 from .game_logic import GameLogic
@@ -184,6 +185,16 @@ class GameServer:
         direction = tuple(message.data.get("direction", (1, 0)))
         self.game_logic.update_snake_direction(player_id, direction)
 
+        # Broadcast input to all clients for prediction
+        snake = next((s for s in self.game_logic.state.snakes if s.player_id == player_id), None)
+        if snake:
+            input_msg = create_player_input_message(
+                player_id,
+                snake.direction,
+                snake.input_buffer
+            )
+            await self.broadcast(input_msg)
+
     async def handle_start_game(self) -> None:
         """Start the game."""
         if self.game_logic.state.game_running:
diff --git a/src/shared/protocol.py b/src/shared/protocol.py
index 322ca28..7545d1b 100644
--- a/src/shared/protocol.py
+++ b/src/shared/protocol.py
@@ -21,6 +21,7 @@ class MessageType(Enum):
     GAME_STARTED = "GAME_STARTED"
     GAME_OVER = "GAME_OVER"
     ERROR = "ERROR"
+    PLAYER_INPUT = "PLAYER_INPUT"  # Broadcast player input for prediction
 
 
 class Message:
@@ -114,3 +115,18 @@ def create_game_over_message(winner_id: str = None) -> Message:
 def create_error_message(error: str) -> Message:
     """Create an ERROR message."""
     return Message(MessageType.ERROR, {"error": error})
+
+
+def create_player_input_message(player_id: str, direction: tuple, input_buffer: list) -> Message:
+    """Create a PLAYER_INPUT message for client-side prediction.
+
+    Args:
+        player_id: ID of the player who sent the input
+        direction: Current direction tuple
+        input_buffer: List of buffered direction tuples (max 3)
+    """
+    return Message(MessageType.PLAYER_INPUT, {
+        "player_id": player_id,
+        "direction": direction,
+        "input_buffer": input_buffer
+    })
diff --git a/web/game.js b/web/game.js
index 7a95e13..5f71f8f 100644
--- a/web/game.js
+++ b/web/game.js
@@ -10,6 +10,10 @@ class GameClient {
         this.canvas = document.getElementById('game-canvas');
         this.ctx = this.canvas.getContext('2d');
 
+        // Client-side prediction
+        this.playerInputBuffers = {};  // player_id -> input_buffer array
+        this.predictedHeads = {};  // player_id -> [x, y] predicted position
+
         // Game constants (matching Python)
         this.GRID_WIDTH = 40;
         this.GRID_HEIGHT = 30;
@@ -134,6 +138,8 @@ class GameClient {
             case MessageType.STATE_UPDATE:
                 this.gameState = message.data.game_state;
                 this.updatePlayersList();
+                // Clear predictions on authoritative update
+                this.predictedHeads = {};
                 if (this.gameState.game_running) {
                     this.hideOverlay();
                 }
@@ -164,6 +170,29 @@ class GameClient {
                 console.error('Server error:', message.data.error);
                 this.showStatus('Error: ' + message.data.error, 'error');
                 break;
+
+            case MessageType.PLAYER_INPUT:
+                // Update input buffer and predict next position
+                const playerId = message.data.player_id;
+                const direction = message.data.direction;
+                const inputBuffer = message.data.input_buffer || [];
+
+                this.playerInputBuffers[playerId] = inputBuffer;
+
+                // Predict next head position
+                if (this.gameState && this.gameState.snakes) {
+                    const snake = this.gameState.snakes.find(s => s.player_id === playerId);
+                    if (snake && snake.body && snake.body.length > 0) {
+                        // Use first buffered input if available, otherwise current direction
+                        const nextDir = inputBuffer.length > 0 ? inputBuffer[0] : direction;
+                        const head = snake.body[0];
+                        this.predictedHeads[playerId] = [
+                            head[0] + nextDir[0],
+                            head[1] + nextDir[1]
+                        ];
+                    }
+                }
+                break;
         }
     }
 
@@ -245,6 +274,15 @@ class GameClient {
                                 this.drawCell(x, y, color);
                             }
                         }
+
+                        // Draw predicted head position (if available)
+                        if (this.predictedHeads[snake.player_id]) {
+                            const [px, py] = this.predictedHeads[snake.player_id];
+                            const brightColor = this.brightenColor(color, 50);
+                            // Draw with reduced opacity (darker color)
+                            const predictedColor = this.darkenColor(brightColor, 0.6);
+                            this.drawCell(px, py, predictedColor);
+                        }
                     }
                 });
             }
@@ -307,6 +345,19 @@ class GameClient {
         return `#${newR.toString(16).padStart(2, '0')}${newG.toString(16).padStart(2, '0')}${newB.toString(16).padStart(2, '0')}`;
     }
 
+    darkenColor(hex, factor) {
+        // Convert hex to RGB and multiply by factor
+        const r = parseInt(hex.slice(1, 3), 16);
+        const g = parseInt(hex.slice(3, 5), 16);
+        const b = parseInt(hex.slice(5, 7), 16);
+
+        const newR = Math.floor(r * factor);
+        const newG = Math.floor(g * factor);
+        const newB = Math.floor(b * factor);
+
+        return `#${newR.toString(16).padStart(2, '0')}${newG.toString(16).padStart(2, '0')}${newB.toString(16).padStart(2, '0')}`;
+    }
+
     updatePlayersList() {
         if (!this.gameState || !this.gameState.snakes) {
             return;
@@ -314,7 +365,10 @@ class GameClient {
 
         this.playersList.innerHTML = '';
 
-        this.gameState.snakes.forEach((snake) => {
+        // Sort snakes by length descending
+        const sortedSnakes = [...this.gameState.snakes].sort((a, b) => b.body.length - a.body.length);
+
+        sortedSnakes.forEach((snake) => {
             const playerItem = document.createElement('div');
             playerItem.className = `player-item ${snake.alive ? 'alive' : 'dead'}`;
             playerItem.style.borderLeftColor = this.COLOR_SNAKES[snake.color_index % this.COLOR_SNAKES.length];
diff --git a/web/index.html b/web/index.html
index a198c84..c30bd5f 100644
--- a/web/index.html
+++ b/web/index.html
@@ -59,13 +59,13 @@
     <script src="protocol.js"></script>
     <script src="game.js"></script>
     <script>
-        // Auto-detect WebSocket URL
+        // Auto-detect WebSocket URL based on page hostname
         const wsUrl = document.getElementById('server-url');
         if (window.location.protocol === 'file:') {
             wsUrl.value = 'ws://localhost:8889';
         } else {
             const host = window.location.hostname;
-            const port = window.location.port ? parseInt(window.location.port) + 889 : 8889;
+            const port = 8889;  // Default WebSocket port
             wsUrl.value = `ws://${host}:${port}`;
         }
     </script>
diff --git a/web/protocol.js b/web/protocol.js
index 35b33ed..0d4a9f0 100644
--- a/web/protocol.js
+++ b/web/protocol.js
@@ -17,7 +17,8 @@ const MessageType = {
     PLAYER_LEFT: 'PLAYER_LEFT',
     GAME_STARTED: 'GAME_STARTED',
     GAME_OVER: 'GAME_OVER',
-    ERROR: 'ERROR'
+    ERROR: 'ERROR',
+    PLAYER_INPUT: 'PLAYER_INPUT'  // Broadcast player input for prediction
 };
 
 class Message {