caillois's terminolgy

paidia games are games are the user/player plays and has completely free roam on where they go and what they choose to do and what not to do and the game will change depending on the players action for example if you kill a certain character within the game perhaps later on in the game perhaps a group of people may hate u for that action the fact that a game could be different every time u play would also go into this category

An example of this would be Bethesda's Skyrim. Skyrim is a game that is completely driven by the player's actions whether it be who they kill or what quests they complete there is no order in which the quests have to be completed and no set way on how you do it as most of them have multiple ways and every action has an opposite action which could be somehow negative or positive towards the player

a second example looking at a game that changes every time you play in which increases the re playability is the binding of Isaac which is a dungeon crawling pc game which every time u play the map completely changes and the enemies and items that inhabit them also changes this gives the user the feeling of freedom

a ludus game is the complete opposite it is a game that the user/player play along a set story line and by a set of rules this is usually seen in most linear story games there is a set path in which the player must follow and there is no swaying off of the path that the developer has set out for you some games may give you multiple choices or multiple ways to complete a certain mission but at the end of the mission they will end up coming to a close with the same single outcome

An example of a game like this or more like an entire franchise would be the call of duty games they always have a campaign with a set storyline that the character must follow but will have certain missions that will allow you to approach something differently for example whether you take a more stealthy approach or go in all guns blazing

Most Fps games work of this system as they normally have a very linear story and a set path that you are made to follow by the developers