Strategy

The Mathematics of Vulturing Variable-State Games

Detailed analysis of the 'vulturing' advantage play strategy for games like Ultimate X, including EV calculations and casino countermeasures.

The Mathematics of Vulturing in Variable-State Video Poker

Vulturing represents one of the most accessible forms of advantage play in modern video poker, exploiting the persistent state mechanics of games like Ultimate X to achieve positive expected value.

Understanding Vulturing

What Is Vulturing?

Vulturing involves:

  • Finding variable-state machines abandoned by other players
  • Identifying positive equity left on the machine
  • Playing off that equity at reduced cost
  • Capturing value that previous player funded
  • Why It Works

    Variable-state games like Ultimate X require doubled wagers to earn multipliers:

  • Player A bets 10 coins, wins, earns 2× multiplier
  • Player A leaves before using multiplier
  • Player B arrives, bets 5 coins (base), plays with 2× multiplier
  • Player B receives multiplied payout at half the cost
  • The Mathematics

    Basic EV Calculation

    The Vulture's Equation:

    $$\text{EV} = (\text{Base RTP} \times \text{Multiplier}) - 100\%$$

    Example with 2× multiplier on 9/6 Jacks or Better:

  • Base RTP: 99.54%
  • With 2× multiplier: 99.54% × 2 = 199.08%
  • Net EV: +99.08% for that hand
  • Multiplier Values (Ultimate X Standard)

    Winning HandMultiplierSingle Hand EVRoyal Flush12×+1,094%Straight Flush10×+895%Four of a Kind7×+596%Full House5×+398%Flush4×+298%Straight3×+199%Three of a Kind2×+99%

    Multi-Hand Considerations

    Ultimate X is typically multi-hand (3-play, 5-play, 10-play):

  • Each hand has independent multipliers
  • Total machine value = Sum of individual hand multipliers
  • Some hands may have no multiplier (1×)
  • Example: 5-Play Ultimate X with mixed multipliers:

    HandMultiplierBase EVAdjusted EV13×99.54%298.62%21×99.54%99.54%32×99.54%199.08%41×99.54%99.54%54×99.54%398.16%

    Average EV: (298.62 + 99.54 + 199.08 + 99.54 + 398.16) / 5 = 218.99%

    Net EV: +118.99%

    Strategy Modifications

    Adjusting for Multipliers

    With active multipliers, optimal strategy changes:

    Low Multipliers (2×):

  • Strategy changes minimal
  • Slightly more aggressive Royal draws
  • Standard priority generally maintained
  • High Multipliers (5×+):

  • Significant strategy adjustments
  • Royal draws become correct more often
  • Even breaking a made hand may be correct
  • Example Decision

    Hand: K♠ Q♠ J♠ 10♠ 9♥ with 7× multiplier

    Options:

  • Hold Royal draw (K-Q-J-10 suited): EV calculation favors Royal
  • Hold Straight (K-Q-J-10-9): Guaranteed payout at 7×
  • At 7× multiplier, the Royal draw becomes significantly more attractive than in standard play.

    Practical Vulturing

    Finding Machines

    Vulturing requires:

  • Knowledge of which games have persistent states
  • Ability to identify machine status quickly
  • Casino familiarity
  • Optimal timing (shift changes, peak hours)
  • Machine Identification

    Signs a machine may have value:

  • Credits remaining
  • Recent activity indicated
  • Chair still warm
  • Screen showing game state (if visible)
  • The Hunt Pattern

    Effective vultures develop routes:

  • Check high-traffic areas
  • Monitor specific machine banks
  • Time patrols to player turnover patterns
  • Use casual approach to avoid attention
  • Casino Countermeasures

    Technical Measures

    CountermeasureEffectScreensaversHide multiplier stateAttract modesObscure machine statusAuto-timeoutState resets after inactivityMenu hidingRequire interaction to see state

    Regulatory Constraints

    Casinos cannot simply delete multipliers because:

  • GLI-11 standards treat them as player-funded equity
  • Deletion could be considered player theft
  • Regulatory compliance requires state preservation
  • Some jurisdictions have specific persistent-state rules
  • Operational Responses

    Non-technical countermeasures:

  • "No loitering" policy enforcement
  • Surveillance monitoring of known vultures
  • Player tracking flags
  • Direct communication with identified APs
  • Economic Analysis

    Hourly Value Estimation

    Vulturing hourly rates depend on:

  • Finding frequency
  • Average multiplier value found
  • Machine denomination
  • Speed of identification
  • Example calculation:

  • Average find: 2.5 multiplier average
  • Finds per hour: 4
  • Average bet: $1.25 (5-coin quarter)
  • EV per find: +100% × $1.25 = $1.25
  • Hourly theoretical: $5.00
  • Reality Check

    Actual vulturing returns are:

  • Highly variable
  • Location dependent
  • Subject to competition
  • Affected by casino tolerance
  • Ethical and Social Considerations

    The Funded Equity Argument

    Vultures argue:

  • Previous player chose to leave
  • Equity was abandoned property
  • Casino benefits if no one claims it
  • Similar to finding coins in slot trays
  • Casino Perspective

    Casinos view vulturing as:

  • Disruptive to normal play
  • Potentially discouraging to other players
  • Exploitation of game mechanics
  • Worthy of countermeasures
  • Community Dynamics

    In active vulturing locations:

  • Competition among vultures
  • Unwritten territorial conventions
  • Information asymmetry advantages
  • Occasional conflicts
  • Advanced Techniques

    Value Calculation Speed

    Expert vultures quickly calculate:

  • Total multiplier value across hands
  • Breakeven thresholds
  • Strategy adjustments needed
  • Expected play duration
  • Multi-Game Awareness

    Some vultures expand beyond Ultimate X:

  • Super Times Pay machines
  • Multi-Strike Poker
  • Any game with persistent state
  • Slot bonus features
  • The Future of Vulturing

    Industry Response

    Game designers now consider:

  • Reducing vulturing opportunities
  • Faster state decay
  • Lower multiplier values
  • Alternative bonus structures
  • Regulatory Evolution

    Standards may change regarding:

  • Persistent state requirements
  • Player equity definitions
  • Disclosure obligations
  • Timeout protocols
  • Vulturing represents a fascinating intersection of game design, mathematics, and advantage play—a modern opportunity created by the very mechanics designed to enhance player engagement.