Gambler's Ruin

GPTKB entity

Statements (53)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:analyzes A gambler's fortune over time
gptkbp:applies_to Gambling theory
gptkbp:can_be_demonstrated_with Simple betting games
gptkbp:can_be_expressed_mathematically_as A recurrence relation
gptkbp:can_be_represented_graphically_as A probability distribution
gptkbp:can_lead_to Bankruptcy for players
gptkbp:can_result_in One player losing all their money
gptkbp:concept Decision theory
Statistical mechanics
gptkbp:depicts The concept of fairness in games
The law of large numbers
gptkbp:describes A betting game scenario
gptkbp:educational_use Probability concepts
gptkbp:emulation Computer algorithms
gptkbp:example Absorbing states in Markov processes
gptkbp:has_implications_for Equal probability of winning
https://www.w3.org/2000/01/rdf-schema#label Gambler's Ruin
gptkbp:illustrated_by Coin toss experiments
gptkbp:introduced_in gptkb:Paul_Erdős
gptkbp:involves Two players
gptkbp:is_a_classic_problem_in Combinatorial game theory
gptkbp:is_a_foundation_for Risk management
gptkbp:is_a_foundational_principle_in Statistical analysis.
gptkbp:is_a_solution_for Markov chains
gptkbp:is_a_subject_of Behavioral economics
Mathematical finance
Mathematical research
gptkbp:is_affected_by House edge
gptkbp:is_analyzed_in Probability theory
Game simulations
Expected value
Optimal betting strategies
gptkbp:is_applicable_to Various gambling games
gptkbp:is_associated_with Game outcomes
Investment strategies
gptkbp:is_described_as Long-term gambling outcomes
gptkbp:is_explored_in Statistical simulations
gptkbp:is_often_discussed_in Game theory
Gambling addiction
gptkbp:is_often_referenced_in Literature on gambling strategies
gptkbp:is_related_to Random walks
Martingale strategies
gptkbp:is_relevant_to Insurance mathematics
gptkbp:is_studied_in Economics
Empirical data
gptkbp:key_concept Risk assessment
gptkbp:model Differential equations
Risk in gambling
gptkbp:requires Finite resources
gptkbp:type_of Stochastic process
gptkbp:bfsParent gptkb:Luxord
gptkbp:bfsLayer 5