This Blender Python script adds 5 empty objects to the current scene and then assigns drivers to each empty. The drivers are set to control the X location of each empty based on the X location of the next empty in the list, multiplied by 0.5.

adding_drivers_to_empties.py

import bpy  # Import the Blender Python API

def add_empties():
    empties = []  # Initialize an empty list to store the empty objects
    for i in range(5):  # Loop to create 5 empty objects
        empty = bpy.data.objects.new(f"Empty_{i+1}", None)  # Create a new empty object with a unique name
        bpy.context.collection.objects.link(empty)  # Link the empty object to the current collection
        empties.append(empty)  # Add the empty object to the list
    return empties  # Return the list of empty objects

def add_drivers(empties):
    for i, empty in enumerate(empties):  # Loop through each empty object with its index
        driver = empty.driver_add("location", 0).driver  # Add a driver to the X location of the empty object
        var = driver.variables.new()  # Create a new variable for the driver
        var.name = "var"  # Name the variable "var"
        var.targets[0].id_type = 'OBJECT'  # Set the target type to 'OBJECT'
        var.targets[0].id = empties[(i+1) % 5]  # Set the target object to the next empty in the list (circular)
        var.targets[0].data_path = "location.x"  # Set the data path to the X location of the target object
        driver.expression = "var * 0.5"  # Set the driver expression to multiply the target's X location by 0.5

# Main execution
empties = add_empties()  # Call the function to add empties and store the returned list
add_drivers(empties)  # Call the function to add drivers to the empties