Skiing – Game 3
A quick game to help you understand the concept of ergodicity.
Game 3: Population of Skiers
Now we have 100 skiers: 50 Alices and 50 Bobs.
Each Alice has a 20% chance of winning and a 10% chance of injury per race, and each Bob has a 15% chance of winning and a 1% chance of injury per race.
Play the game for at least 20, noticing how Alices are likely to win more races at the beginning but fewer as the game progresses. So, it would be a mistake to think that Alice's strategy is better just because it grows faster at the beginning.
Races: 0/20
Alices
Wins: 0 (average per skier: 0.00)
Injury status: (0% injured)
Bobs
Wins: 0 (average per skier: 0.00)
Injury status: (0% injured)
Healthy Injured
Keep playing until you complete 20 races.
Learn more about Ergodicity
Ergodicity
How irreversible outcomes affect long-term performance in work, investing, relationships, sport, and beyond
