ABSTRACT
This paper outlines a baseline sportsbook model for wagering on competitive trading card games (TCGs) such as Magic: The Gathering, Pokémon, and Yu-Gi-Oh!. Using the Glicko-2 rating system, a logistic distribution to assess deck strength’s impact on competitor win probability, Monte Carlo simulations, and Bayesian inference, we evaluate the feasibility and profitability of such a sportsbook from the perspective of the operator. A simulated world championship tournament, repeated over 10,000 iterations, representing 310,000 simulated matches, assesses expected profitability as measured by gross gaming revenue (GGR). Findings indicate a 75.7% probability of achieving a GGR margin above 5%, suggesting that a TCG sportsbook could be a viable business model.
Beyond theoretical validation, this paper discusses key challenges, including data availability and regulatory considerations. Future research should focus on refining the model with empirical data, implementing real-time probability and pricing adjustments, conducting necessary market research, and addressing legal and operational hurdles. This study provides a foundational approach to TCG wagering within the broader “esports” betting landscape upon which future work might be built.
Keywords: Bayesian inference, sports betting, trading card games, Glicko-2, Microsoft Excel, R programming, gambling models, financial modelling, sportsbook profitability
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Project Files
a. Project 1A: Tournament Season Match Data [.csv file].
project_1a_a_tournament_season_match_data
b. Project 1A: R Code for Glicko-2 Skill Ratings [.txt file].
project_1a_b_r_code_for_glicko_2_skill_ratings_
c. Project 1A: Tournament Season Final Ratings [.csv file].
project_1a_c_tournament_season_final_standings
d. Project 1A: R Code for Logistic Curve for Rating Deck Strength [.txt file].
project_1a_d_r_code_for_logistic_curve_for_rating_deck_strength_
e. Project 1A: Glicko-2 Ratings for 32 World Tournament Competitors [.csv file].
project_1a_e_glicko_2_ratings_for_32_world_tournament_competitors
f. Project 1A: Deck Strength Gamma Vector for World Tournament [.csv file].
project_1a_f_deck_strength_gamma_vector_for_world_tournament
g. Project 1A: R Code for World Tournament Win Probability Matrix [.txt file].
project_1a_g_r_code_for_world_tournament_win_probability_matrix_
h. Project 1A: World Tournament Win Probability Matrix [.csv file].
project_1a_h_world_tournament_win_probability_matrix
i. Project 1A: TCG Sportsbook World Tournament Simulator Workbook [.xlsx file].
project_1a_i_tcg_sportsbook_world_tournament_simulator_workbook.xlsx
j. Project 1A: 10,000 TCG World Tournament Simulations [.csv file].
project_1a_j_10000_world_tournament_simulations_data
k. Project 1A: World Tournament Simulation GGR and GGR Margin [.csv file].
project_1a_k_world_tournament_simulation_ggr_and_ggr_margin
l. Project 1A: R Code for Posterior Sampling and Diagnostics [.txt file].
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