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A Multi-Agent Prediction Market
                  Based on
          Boolean Network Evolution

 Janyl Jumadinova., Mihaela T. Matache and Prithviraj Dasgupta
                         WI-IAT.2011


                   Presenter: Yu Hsiang Huang
                        Date: 2011-12-09
Outline
•   Introduction
•   Related work
•   Boolean Network based prediction market
•   Experiment result
•   Conclusion
Introduction
• Prediction market
• Multi-Agent system
• Boolean Network (BN)
  – Boolean rule(0/1)
• BN vs. LMSR
  – Eliminate the frequently fluctuating price
Related work
• Prediction Markets
  • Outcome geopolitical events – US presidential elections
  • Outcome of sporting events
  • Predicting the box office performance of Hollywood movies


  – Belief
      • Opinion of individual trader about the outcome of a future event
      • Market price
Boolean Network-Based
            Prediction Market
• A. Prediction Market Preliminaries
  – Major participants in agent-based prediction market
     • A set of trading agents
     • A market maker agent – central entity
  – Outcome of an event is binary (will happen/won’t happen)
  – Trading agent
     • At time t
     • Bet security (bought/sold/held)  discrete quantities
  – Market maker agent
     • Aggregate the price at which securities of event traded by agents
     • Market price – probability of the outcome of the event
     • Compare market price with actual decision in real world  cost
Trading period t                Quantity=10
                                 Security
                                   bet
                                 (bought)
                                                            Trading agents


               Quantity=7
                Security
                  bet
                 (sold)


                   Quantity=5
                    Security
                      bet
                    (bought)
                                                                     Market maker agent


       cost
                                Quantity=8    Quantity=10
   Market                        Security      Security
                                   bet
                                  (held)         bet
                                               (bought)
    price           cost


         vs.

   Actual
  decision
Boolean Network-Based
          Prediction Market(cont.)
• B. BN-based Prediction Market
  – Major participants in BN-based prediction market
     • Trading agent  buy and sell securities on behalf of human traders
     • Market maker agent
     • Information sources
  – Based on traditional prediction market’s operation
     • Belief
          – Outcome of security corresponding to the event
          – Used to calculate the market price
     • State
          –   In BN, used to represent belief
          –   Updated using Boolean function
          –   1 or ON : trading agent believes the event will happen
          –   0 or OFF : trading agent believes the event won’t happen
Tradition PM
    BN-based PM



      1




2

2
                   4
           3
                   4
Boolean Network-Based
        Prediction Market (cont.)
• C. Trading Agents’ Boolean Belief Update
                  Market price       State   Information signal




                                                             Threshold
                             trust
Boolean Network-Based
Prediction Market (cont.)
(1
)
A


            B

        C
                (5
        D       )


            E

    F
Boolean Network-Based
Prediction Market (cont.)




              A   F
              D

                            C
Experimental results
Experimental results(cont.)
• B. Patterns and validation of the mean-field based
     price aggregation mechanism

  – Pattern formation plot
         – Arranging nodes representing the trading agents in one dimensional array left to right
         – State : 1 black plot
         – State : 0 neutral plot
Experimental results(cont.)
Experimental results(cont.)




 A      F     D      C
Experimental results(cont.)
• C. Comparison to Conventional Prediction Markets
  – LMSR vs. BN
Experimental results(cont.)
Experimental results(cont.)




                              stable
Experimental results(cont.)
• E. Scalability
   – The number of trading agents v.s. model ‘s accuracy
Conclusion
• Boolean network
  – Behavior of trading agent
     • Aggregated market price
     • Past beliefs
     • Information flow

• BN v.s. LMSR
  – Less fluctuation of the market price
  – Analyze and predict the dynamics of prediction market
  – Simpler
• Future
     • Variation of weight and threshold parameters
     • More possible state
     • Limit untruthful belief

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A multi agent prediction market based on Boolean Network Evolution

  • 1. A Multi-Agent Prediction Market Based on Boolean Network Evolution Janyl Jumadinova., Mihaela T. Matache and Prithviraj Dasgupta WI-IAT.2011 Presenter: Yu Hsiang Huang Date: 2011-12-09
  • 2. Outline • Introduction • Related work • Boolean Network based prediction market • Experiment result • Conclusion
  • 3. Introduction • Prediction market • Multi-Agent system • Boolean Network (BN) – Boolean rule(0/1) • BN vs. LMSR – Eliminate the frequently fluctuating price
  • 4. Related work • Prediction Markets • Outcome geopolitical events – US presidential elections • Outcome of sporting events • Predicting the box office performance of Hollywood movies – Belief • Opinion of individual trader about the outcome of a future event • Market price
  • 5. Boolean Network-Based Prediction Market • A. Prediction Market Preliminaries – Major participants in agent-based prediction market • A set of trading agents • A market maker agent – central entity – Outcome of an event is binary (will happen/won’t happen) – Trading agent • At time t • Bet security (bought/sold/held)  discrete quantities – Market maker agent • Aggregate the price at which securities of event traded by agents • Market price – probability of the outcome of the event • Compare market price with actual decision in real world  cost
  • 6. Trading period t Quantity=10 Security bet (bought) Trading agents Quantity=7 Security bet (sold) Quantity=5 Security bet (bought) Market maker agent cost Quantity=8 Quantity=10 Market Security Security bet (held) bet (bought) price cost vs. Actual decision
  • 7. Boolean Network-Based Prediction Market(cont.) • B. BN-based Prediction Market – Major participants in BN-based prediction market • Trading agent  buy and sell securities on behalf of human traders • Market maker agent • Information sources – Based on traditional prediction market’s operation • Belief – Outcome of security corresponding to the event – Used to calculate the market price • State – In BN, used to represent belief – Updated using Boolean function – 1 or ON : trading agent believes the event will happen – 0 or OFF : trading agent believes the event won’t happen
  • 8. Tradition PM BN-based PM 1 2 2 4 3 4
  • 9.
  • 10. Boolean Network-Based Prediction Market (cont.) • C. Trading Agents’ Boolean Belief Update Market price State Information signal Threshold trust
  • 12. (1 )
  • 13. A B C (5 D ) E F
  • 14.
  • 17.
  • 18. Experimental results(cont.) • B. Patterns and validation of the mean-field based price aggregation mechanism – Pattern formation plot – Arranging nodes representing the trading agents in one dimensional array left to right – State : 1 black plot – State : 0 neutral plot
  • 21. Experimental results(cont.) • C. Comparison to Conventional Prediction Markets – LMSR vs. BN
  • 24. Experimental results(cont.) • E. Scalability – The number of trading agents v.s. model ‘s accuracy
  • 25. Conclusion • Boolean network – Behavior of trading agent • Aggregated market price • Past beliefs • Information flow • BN v.s. LMSR – Less fluctuation of the market price – Analyze and predict the dynamics of prediction market – Simpler • Future • Variation of weight and threshold parameters • More possible state • Limit untruthful belief