I need a Python script that takes the list below and calculates how many players are available for each day. Then find the day with the highest amount of player availability and show me the names of each player that is available for that day. 

players = [{'name': 'Bob', 'availability': ['Monday', 'Tuesday', 'Friday']}, {'name': 'Ben Tyson', 'availability': ['Tuesday', 'Thursday', 'Saturday']}, {'name': 'Joyce Sellers', 'availability': ['Monday', 'Wednesday', 'Friday', 'Saturday']}, {'name': 'Milly Rock', 'availability': ['Wednesday', 'Thursday', 'Sunday']}, {'name': 'Stephen Adams', 'availability': ['Thursday', 'Saturday']}, {'name': 'Joe Lynn', 'availability': ['Monday', 'Thursday']}, {'name': 'Latasha Bryan', 'availability': ['Monday', 'Sunday']}, {'name': 'Crystal Brewer', 'availability': ['Thursday', 'Friday', 'Saturday']}, {'name': 'JB Jr.', 'availability': ['Tuesday', 'Wednesday', 'Thursday', 'Sunday']}, {'name': 'Michel Trujillo', 'availability': ['Monday', 'Tuesday', 'Wednesday']}]
user