Combinatorics of Card Collecting Games
College
College of Arts and Sciences
Department
Mathematics
Faculty Mentor
Kristen Abernathy, Ph.D.
Abstract
Card collecting games involve a mechanic often referred to as gacha-fuse-evolve where players randomly draw items with different levels of rarity that can subsequently be fused and evolved to create stronger items. Fusion, putting two different cards together, and evolution, putting two identical cards together, can be used to create new, stronger cards known as unique and recipe cards respectively. We use combinatorial methods to create a model that calculates the probability of a player creating a unique card or a recipe card given the number of cards in a deck, the number of cards chosen over a certain time period, and the number of cards of each level of rarity in the deck. We also develop a C++ program that runs simulations to generate data and test our analytic model.
Start Date
24-4-2015 1:20 PM
Combinatorics of Card Collecting Games
DiGiorgio Campus Center, Room 220
Card collecting games involve a mechanic often referred to as gacha-fuse-evolve where players randomly draw items with different levels of rarity that can subsequently be fused and evolved to create stronger items. Fusion, putting two different cards together, and evolution, putting two identical cards together, can be used to create new, stronger cards known as unique and recipe cards respectively. We use combinatorial methods to create a model that calculates the probability of a player creating a unique card or a recipe card given the number of cards in a deck, the number of cards chosen over a certain time period, and the number of cards of each level of rarity in the deck. We also develop a C++ program that runs simulations to generate data and test our analytic model.
