diff --git a/Cargo.lock b/Cargo.lock
index e71edcb..b45ae10 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -2129,7 +2129,6 @@ version = "0.1.0"
 dependencies = [
  "comfy",
  "heck",
- "log",
  "resvg",
 ]
 
diff --git a/Cargo.toml b/Cargo.toml
index 3dfe2bc..38a2d18 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -16,7 +16,6 @@ opt-level = 3
 
 [dependencies]
 comfy = { version = "0.4.0", features = ["wayland"] }
-log = "0.4.22"
 
 [build-dependencies]
 heck = "0.5"
diff --git a/src/activities/overworld/mod.rs b/src/activities/overworld/mod.rs
index 2d39c97..12dc2e7 100644
--- a/src/activities/overworld/mod.rs
+++ b/src/activities/overworld/mod.rs
@@ -1,10 +1,13 @@
+use crate::{
+	game::{Ghost, ZLayer},
+	State
+};
 use comfy::{
-	draw_circle, draw_rect_outline, draw_sprite, is_key_down, is_key_pressed,
+	draw_circle, draw_rect_outline, draw_sprite, error, is_key_down, is_key_pressed,
 	main_camera_mut, EngineContext, IVec2, KeyCode, Vec2, RED, WHITE
 };
-use log::info;
-
-use crate::game::{Ghost, ZLayer};
+use std::time::Instant;
+use worldgen::MovementCost;
 
 pub mod worldgen;
 
@@ -22,49 +25,143 @@ pub fn draw(state: &crate::State, _engine: &comfy::EngineContext<'_>) {
 			draw_rect_outline(coords.as_vec2(), Vec2::ONE, 0.1, RED, 10);
 		}
 	}
-	draw_circle(
-		state.ghost.overworld_pos.as_vec2(),
-		0.5,
-		RED,
-		ZLayer::Ghost.into()
-	);
+	draw_circle(state.ghost.overworld_pos, 0.5, RED, ZLayer::Ghost.into());
 }
 
-pub fn update(state: &mut crate::State, _engine: &mut EngineContext<'_>) {
+fn update_move_player(state: &mut State) {
+	let now = Instant::now();
+
+	// Are there any pending position updates? If so, we ignore all user input and execute
+	// the pending updates.
+	if state.ghost.overworld_movement_pending != Vec2::ZERO {
+		state.ghost.update_overworld_pos(now);
+		return;
+	}
+
+	// Otherwise, we check for user inputs, and update the pending movement accordingly.
+	let tile_pos = IVec2 {
+		x: state.ghost.overworld_pos.x.round() as _,
+		y: state.ghost.overworld_pos.y.round() as _
+	};
+	let Some(tile) = state.overworld.get_tile(tile_pos).copied() else {
+		error!("How can we be standing inside a non-generated tile?");
+		return;
+	};
+
+	let mut requested_pos = None;
+	let mut requested_pos_diff = None;
+	let mut requested_cost_curr = None;
+	let mut requested_cost_new = None;
+
+	if is_key_down(KeyCode::Up) {
+		let diff = IVec2 { x: 0, y: 1 };
+		let new_pos = tile_pos + diff;
+		let new_tile = state.overworld.get_or_generate_tile(new_pos);
+		if new_tile.can_stand_inside() {
+			requested_pos = Some(new_pos);
+			requested_pos_diff = Some(diff);
+			requested_cost_curr = Some(tile.movement_cost_up());
+			requested_cost_new = Some(new_tile.movement_cost_down());
+		}
+	}
+
+	if is_key_down(KeyCode::Down) {
+		let diff = IVec2 { x: 0, y: -1 };
+		let new_pos = tile_pos + diff;
+		let new_tile = state.overworld.get_or_generate_tile(new_pos);
+		if new_tile.can_stand_inside() {
+			requested_pos = Some(new_pos);
+			requested_pos_diff = Some(diff);
+			requested_cost_curr = Some(tile.movement_cost_down());
+			requested_cost_new = Some(new_tile.movement_cost_up());
+		}
+	}
+
+	if is_key_down(KeyCode::Left) {
+		let diff = IVec2 { x: -1, y: 0 };
+		let new_pos = tile_pos + diff;
+		let new_tile = state.overworld.get_or_generate_tile(new_pos);
+		if new_tile.can_stand_inside() {
+			requested_pos = Some(new_pos);
+			requested_pos_diff = Some(diff);
+			requested_cost_curr = Some(tile.movement_cost_left());
+			requested_cost_new = Some(new_tile.movement_cost_right());
+		}
+	}
+
+	if is_key_down(KeyCode::Right) {
+		let diff = IVec2 { x: 1, y: 0 };
+		let new_pos = tile_pos + diff;
+		let new_tile = state.overworld.get_or_generate_tile(new_pos);
+		if new_tile.can_stand_inside() {
+			requested_pos = Some(new_pos);
+			requested_pos_diff = Some(diff);
+			requested_cost_curr = Some(tile.movement_cost_right());
+			requested_cost_new = Some(new_tile.movement_cost_left());
+		}
+	}
+
+	// only continue if some movement was requested
+	let Some(_requested_pos) = requested_pos else {
+		return;
+	};
+	let Some(requested_pos_diff) = requested_pos_diff else {
+		return;
+	};
+	let Some(requested_cost_curr) = requested_cost_curr else {
+		return;
+	};
+	let Some(requested_cost_new) = requested_cost_new else {
+		return;
+	};
+
+	state.ghost.overworld_movement_speed = match (requested_cost_curr, requested_cost_new)
+	{
+		// movement in this direction not possible
+		(MovementCost::Infinite, _) | (_, MovementCost::Infinite) => return,
+
+		// we are walking on a path
+		(MovementCost::Path, MovementCost::Path) => 10.0,
+
+		// we are walking across an obstacle
+		(MovementCost::Obstacle, _) | (_, MovementCost::Obstacle) => 1.0,
+
+		// we are walking on grass
+		_ => 5.0
+	};
+	state.ghost.overworld_movement_pending = Vec2 {
+		x: requested_pos_diff.x as _,
+		y: requested_pos_diff.y as _
+	};
+	state.ghost.overworld_pos_last_update = now;
+}
+
+pub fn update(state: &mut State, _ctx: &mut EngineContext<'_>) {
 	let mut camera = main_camera_mut();
 	camera.center = Vec2::ZERO;
 	camera.zoom = 30.0;
 
-	let mut ghost_pos = &mut state.ghost.overworld_pos;
-
 	// move player
-	if is_key_down(KeyCode::Up) {
-		ghost_pos.y += 1;
-	}
-	if is_key_down(KeyCode::Down) {
-		ghost_pos.y -= 1;
-	}
-	if is_key_down(KeyCode::Left) {
-		ghost_pos.x -= 1;
-	}
-	if is_key_down(KeyCode::Right) {
-		ghost_pos.x += 1;
-	}
+	update_move_player(state);
 
 	// generate more chunks if needed
 	{
 		let half_viewport = (camera.world_viewport() * 0.5 + 3.0).as_ivec2();
+		let rounded_ghost_pos = IVec2 {
+			x: state.ghost.overworld_pos.x.round() as _,
+			y: state.ghost.overworld_pos.y.round() as _
+		};
 		state.overworld.get_or_generate_tile(
-			*ghost_pos + IVec2::new(half_viewport.x, half_viewport.y)
+			rounded_ghost_pos + IVec2::new(half_viewport.x, half_viewport.y)
 		);
 		state.overworld.get_or_generate_tile(
-			*ghost_pos + IVec2::new(half_viewport.x, -half_viewport.y)
+			rounded_ghost_pos + IVec2::new(half_viewport.x, -half_viewport.y)
 		);
 		state.overworld.get_or_generate_tile(
-			*ghost_pos + IVec2::new(-half_viewport.x, half_viewport.y)
+			rounded_ghost_pos + IVec2::new(-half_viewport.x, half_viewport.y)
 		);
 		state.overworld.get_or_generate_tile(
-			*ghost_pos + IVec2::new(-half_viewport.x, -half_viewport.y)
+			rounded_ghost_pos + IVec2::new(-half_viewport.x, -half_viewport.y)
 		);
 	}
 }
diff --git a/src/activities/overworld/worldgen.rs b/src/activities/overworld/worldgen.rs
index 3cfe2aa..809c7b6 100644
--- a/src/activities/overworld/worldgen.rs
+++ b/src/activities/overworld/worldgen.rs
@@ -2,8 +2,7 @@
 #![allow(dead_code)]
 
 use crate::assets::ASSETS;
-use comfy::{IVec2, TextureHandle, UVec2};
-use log::info;
+use comfy::{info, IVec2, TextureHandle, UVec2};
 use std::collections::HashMap;
 
 pub enum MovementCost {
@@ -403,7 +402,15 @@ fn world_to_chunk_and_local_coords(world_coords: IVec2) -> (IVec2, UVec2) {
 }
 
 impl Overworld {
-	fn get_tile(&self, world_coords: IVec2) -> Option<&Tile> {
+	/// Return a [`Tile`] at the given world coordinates, or `None` if that tile has not
+	/// been generated yet. Uses engine/world cordinates.
+	pub fn get_tile(&self, world_coords: IVec2) -> Option<&Tile> {
+		let mut coords = world_coords;
+		coords.y *= -1;
+		self.get_tile_private(coords)
+	}
+
+	fn get_tile_private(&self, world_coords: IVec2) -> Option<&Tile> {
 		let (chunk_coords, local_chunk_coords) =
 			world_to_chunk_and_local_coords(world_coords);
 
@@ -411,15 +418,15 @@ impl Overworld {
 		chunk.get_tile(local_chunk_coords)
 	}
 
-	/// Return a [`Tile`] at the given world coordinates, or `None` if that tile has not
-	/// been generated yet. use engine/world cordinates.
+	/// Return a [`Tile`] at the given world coordinates. Generates tiles if necessary.
+	/// Uses engine/world cordinates.
 	pub fn get_or_generate_tile(&mut self, world_coords: IVec2) -> &Tile {
 		let mut coords = world_coords;
 		coords.y *= -1;
-		self.get_or_generate_tiles_private(coords)
+		self.get_or_generate_tile_private(coords)
 	}
 
-	fn get_or_generate_tiles_private(&mut self, world_coords: IVec2) -> &Tile {
+	fn get_or_generate_tile_private(&mut self, world_coords: IVec2) -> &Tile {
 		let (chunk_coords, local_chunk_coords) =
 			world_to_chunk_and_local_coords(world_coords);
 
diff --git a/src/game.rs b/src/game.rs
index aa9ac70..4215d64 100644
--- a/src/game.rs
+++ b/src/game.rs
@@ -2,16 +2,51 @@ use crate::{
 	activities::{house, overworld, Activity},
 	State
 };
-use comfy::{EngineContext, IVec2};
-use std::ops::Sub;
+use comfy::{EngineContext, Vec2};
+use std::{ops::Sub, time::Instant};
 
 #[derive(Debug)]
 pub struct Ghost {
-	/// current electric charge of the Ghost
+	/// Current electric charge of the Ghost.
 	pub charge: f32,
-	/// max electric charge of the Ghost
+	/// Max electric charge of the Ghost.
 	pub max_charge: f32,
-	pub overworld_pos: IVec2
+
+	/// The position of the ghost in the overworld. Expressed in tile coordinates, but
+	/// as a float as a ghost takes more than one tick to move.
+	pub overworld_pos: Vec2,
+	/// Pending movement of the ghost in the overworld.
+	pub overworld_movement_pending: Vec2,
+	/// The current movement speed of the ghost in tiles/sec.
+	pub overworld_movement_speed: f32,
+	/// The timestamp of the last overworld position update.
+	pub overworld_pos_last_update: Instant
+}
+
+impl Ghost {
+	pub fn update_overworld_pos(&mut self, now: Instant) {
+		// This calculation is extremely simplistic. It will not work properly if both
+		// x and y of movement_pending are non-zero. But we only move left,right,up,down
+		// so that should never happen!
+		let secs = now
+			.duration_since(self.overworld_pos_last_update)
+			.as_secs_f32();
+		let mut movement =
+			self.overworld_movement_pending * self.overworld_movement_speed * secs;
+
+		// limit the movement to the remaining movement
+		if self.overworld_movement_pending.x.abs() < movement.x.abs() {
+			movement.x = self.overworld_movement_pending.x;
+		}
+		if self.overworld_movement_pending.y.abs() < movement.y.abs() {
+			movement.y = self.overworld_movement_pending.y;
+		}
+
+		// execute the movement
+		self.overworld_pos += movement;
+		self.overworld_movement_pending -= movement;
+		self.overworld_pos_last_update = now;
+	}
 }
 
 impl Default for Ghost {
@@ -19,7 +54,11 @@ impl Default for Ghost {
 		Self {
 			charge: 1000.0,
 			max_charge: 1000.0,
-			overworld_pos: IVec2::ZERO
+
+			overworld_pos: Vec2::ZERO,
+			overworld_movement_pending: Vec2::ZERO,
+			overworld_movement_speed: 0.0,
+			overworld_pos_last_update: Instant::now()
 		}
 	}
 }