This project is for recreating the boards and character dice of Super Mario Party, and running simulations on those boards to learn all kinds of fun statistical things about the game such as:
- Min, average, and max coins gained during any single game.
- Min, average, and max distance gone during any single game.
- Min, average, and max stars gained during any single game.
- The average place (1st, 2nd, etc) gained at the end of all the games.
- All of the above per the number of allies gained during that game.
- How frequently that number of allies was able to be gained.
- Min, average, and max of which turn each amount of allies was able to be gained.
- All of the above per character dice.
- All of the above per game board.
These simulations are run for each of the four game boards since one of the main questions is how each character die ends up impacting which spaces on each board you're more likely to land on, and how that goes on to affect everything else.
Because I'm a giant nerd, lol.
For real though, with the introduction of the unique character dice in SMP, this now means that which character you choose to play has could potentially have very interesting consequences for all of the above pieces of data. This project is, at its core, to determine how significant the different character dice can impact all of this. Maybe even to the point of significantly impacting your odds of winning, and I find this an incredibly fascinating series of questions to try and answer.
The current version of these simulations is much more limited than the real SMP games due to complexity and setting more incremental, obtainable goals for myself. With this current state (plus any current goals/questions addressed), I believe that's at least a really good pausing place that still yields really good results that a SMP player could still use.
- The stars work....mostly.
- The only exception is the bonus star associated with items, since items are not implemented.
- Character dice only.
- The agents only ever use the character die that they have from the beginning, though yes, in a real game a player can choose between their own character die, the character dice of any allies they have, and a standard d6. For now, this project is really about answering how effective each character die is on their own, so we can leave adding this choice for a later version of this.
- Though yes, that could end up changing things, as maybe even the standard d6 compliments some character dice far better than others.
- All four players
- While each simulation is centered on testing one main player, all four characters in a typical Mario Party game are running around the board, collecting coins and stars using the same strategies.
- Who the other three characters are for each game is chosen randomly, so the resulting statistics say how each character does generically against all characters.
- Minigames...kind of.
- As you can imagine, somehow re-implementing the entire suite of minigames and also simulating them being played is a nightmarishly tall order. Instead, I've done what I feel like is the important part for this program: This program still creates the minigame teams the same way Super Mario Party does, but then randomly decides which one of the teams won, and gives out the coins accordingly.
- I actually think this is better than trying to recreate all of the games and program AIs to actually try to beat them, because choosing a random winner removes the individual player skill from the equation, while still getting that regular injection of coins from the minigame rewards into the system.
- No Items.
- This would be a lot of work, and be tied into creating an AI that makes smarter decisions. I really don't see currently how the items could be done well in this program without an agent having some sort of decent decision making around when to buy an item, which one, and when to use it. So, for now at least, despite how helpful they can be in a game, I'm hoping the simulations are still really valuable without them.
- Fine-tune the Sand Bridge collapsing in Megafruit Paradise. I've heard it can randomly collapse after 3-5 uses, but in the four cases I've witnessed it's been 5. Either that's coincidence, or it's not 3-5, or the randomness isn't uniform. Without more data I don't know which it is for certain.
- Partially done. I did find video evidence of the bridge collapsing after four crossings, and coded that in. That really messed up Diddy and Wario's ability to gain allies, lol.
These are goals that are a long way off, and would be done as a proper next version rather than any time soon.
- Implement an AI.
- With the stars in place, that gives the AI the goal of what they need to gather, and if it'd be great to make a proper learning agent so that it can figure out on its own just how important coins, allies, etc are towards the goal of gathering the most stars.
- In some games, like Super Smash Bros, this is ends up being a lot of waiting for the agents to train, because each character is different enough that you can't simply train an agent once, and expect it to do well for other characters. I don't believe that's the case here, as the strategies and tools available to you don't really change, only what spaces in front of you you're likely to land on based on your dice.
- Items
- Definitely a long ways off, for all the reasons listed in the "No Items" section of "Current State".
- Extend the AI to choose which dice to use.
- Phase 1 can be being able to choose between their character dice and the d6.
- Phase 2 would be also having access to their ally dice they could use.
These are measurements done on my personal PC.
| Board Name | 5,000 | 10,000 | 50,000 | 100,000 | 500,000 | 1,000,000 |
|---|---|---|---|---|---|---|
| Whomp's Domino Ruins | 1.761 | 2.944 | 12.400 | 24.251 | 118.655 | 234.486 |
| Megafruit Paradise | 1.634 | 2.728 | 11.272 | 21.434 | 108.777 | 216.528 |
| King Bobomb's Powderkeg Mine | 1.576 | 2.590 | 11.792 | 21.940 | 111.787 | 203.243 |
| Kamek's Tantalizing Tower | 1.529 | 2.509 | 10.668 | 19.935 | 111.505 | 210.027 |
| Board Name | 5,000 | 10,000 | 50,000 | 100,000 | 500,000 | 1,000,000 |
|---|---|---|---|---|---|---|
| Whomp's Domino Ruins | 2.839 | 3.397 | 4.032 | 4.124 | 4.214 | 4.265 |
| Megafruit Paradise | 3.060 | 3.666 | 4.436 | 4.665 | 4.597 | 4.618 |
| King Bobomb's Powderkeg Mine | 3.173 | 3.861 | 4.240 | 4.558 | 4.473 | 4.920 |
| Kamek's Tantalizing Tower | 3.270 | 3.986 | 4.687 | 5.016 | 4.484 | 4.761 |