Game Theory

Practice problems for Game Theory

• Best-of-Three Tennis Match: Two Sets vs Three Sets
• Coin Flip Competition: 17 vs 16 Coins
• Coin Guessing Game: Probability of Winning
• Die Roll with Optional Reroll
• Die Rolling Game: Maximize Sum Without Busting
• Evaluate Betting Strategy for HHH with Given Odds
• Expected Value vs Risk: Coin Flip Betting Games
• King's Salary
• Nim-like Game to 15 with Picks of 1 or 2
• Probability of Game 7 in Best-of-Seven Series
• Red-Black Card Game with Optional Stopping
• Secure Average Salary Computation
• Simpson's Paradox: Identifying the Scenario
• Strategic Dice Betting with Information Asymmetry
• Tennis Game Win Probability from 30-30 with 70% Point Advantage
• Tennis Win Probability from Deuce with 60% Point Win Rate
• Ball Color Guessing Game: Expected Winnings
• Dice Ratio Game: Choose Best Payout
• Guaranteed Outcome Betting on Seven-Game Series
• Padel Game Win Probability at 9-9 Against Stronger Opponent
• Ten Prisoners Hat Puzzle - Parity Strategy
• Two Egg Problem: Minimum Worst-Case Drops