Paper: arXiv 2604.20067

Authors: Ethan Ratliff-Crain, Colin M. Van Oort, Matthew T. K. Koehler, Brian F. Tivnan

Abstract

This study strengthens the foundations of multi-venue market modeling by attempting an independent replication of Wah and Wellman’s 2016 model of latency arbitrage in a fragmented market. We find that faithful replication is hindered by missing implementation details in the original paper and limited quantitative reporting. We demonstrate that increasing the number of simulation runs beyond the original design allows for the creation of bootstrap confidence intervals to support rigorous tests of quantitative alignment, compensating for lacking distributional information (e.g. variance). We also demonstrate that increased complexity across the modeled scenarios corresponds with increased difficulty aligning to the original results. We draw on a codebase released by the original authors in connection with a later paper to recover additional implementation details; however, we reject quantitative alignment between that codebase and the published results. Combining information from the paper and the released code, we achieve relational equivalence for most metrics but reject quantitative alignment for model settings where latency is non-zero. We show that many of the qualitative takeaways from the original paper on the effects of market fragmentation and latency arbitrage are sensitive to the specifics of a `greedy strategy’ extension given to the zero-intelligence (ZI) trader agents. Under an alternative interpretation of this strategy, we find that market fragmentation decreases execution times in all experiments and increases trader welfare in most experiments. Finally, to facilitate future replication, critique, and extension, we provide an ODD (Overview, Design concepts, Details) protocol for our implementations of the model.

Complexity vs Empirical Score

  • Math Complexity: 3.5/10
  • Empirical Rigor: 8.0/10
  • Quadrant: Street Traders — practical and empirical, lighter on theory

Why this score: The research focuses on the empirical verification, replication, and sensitivity analysis of agent-based market models rather than dense mathematical derivations. Its rigorous attention to model alignment, statistical testing of simulation runs, and the provision of an ODD protocol demonstrates a high level of research engineering and implementation effort.

Research Flowchart

  flowchart TD
    A[<b>Research Goal:</b> Replication of Wah & Wellman's Latency Arbitrage Model] --> B[<b>Data & Inputs:</b> Original Paper & Authors' Subsequent Codebase]
    B --> C[<b>Computational Process:</b> Systematic Simulation with Increased Run Counts]
    C --> D[<b>Methodology:</b> Bootstrap CI Analysis & ODD Protocol Documentation]
    D --> E[<b>Finding 1:</b> Quantitative Divergence in Latency & Implementation Details]
    D --> F[<b>Finding 2:</b> Sensitivity of Qualitative Takeaways to 'Greedy Strategy' Logic]
    C --> G[<b>Outcome:</b> Relational Equivalence for Metrics; Framework for Future Critique]

Cited References (187)

  1. Econophysics review: I . Empirical facts (2011) — link
  2. Empirical game theoretic analysis: A survey (2025)
  3. Theory Development Via Replicated Simulations and the Added Value of Standards (2020)
  4. Advancing the art of simulation in the social sciences (1997)
  5. A survey of agent-based modeling practices ( January 1998 to July 2008) (2009)
  6. Making models match: Replicating an agent-based model (2007)
  7. Stylized Facts (2008) — link
  8. The Estimation of Leverage Effect With High - Frequency Data (2014) — link
and 179 more
  1. Stylized Facts on the Temporal and Distributional Properties of Daily Data from Speculative Markets by Clive W . J . Granger , Zhuanxin Ding :: SSRN — link
  2. From the bird’s eye to the microscope: A survey of new stylized facts of the intra-daily foreign exchange markets (1997) — link
  3. Symmetry alteration of ensemble return distribution in crash and rally days of financial markets (2000) — link
  4. The leverage effect puzzle: Disentangling sources of bias at high frequency (2013) — link
  5. Heterogeneity and feedback in an agent-based market model (2005) — link
  6. Toward an understanding of market resilience: market liquidity and heterogeneity in the investor decision cycle (2016) — link
  7. An agent-based model for financial vulnerability (2018) — link
  8. Aligning simulation models: A case study and results (1996) — link
  9. Three distinct kinds of empirically-relevant agent-based models (2005)
  10. Effects of Interaction Topology and Activation Regime in Several Multi - Agent Systems (2001) — link
  11. The Convergence and Stability of Cultures : Local Convergence and Global Polarization \textbackslash textbackslashtextbackslashtextbar Santa Fe Institute — link
  12. Growing artificial societies: social science from the bottom up (1996)
  13. The convergence and stability of cultures: Local convergence and global polarization (1995)
  14. Largest American companies by market capitalization — link
  15. Inverse statistics in economics: the gain–loss asymmetry (2003) — link
  16. Volatility Clustering in Financial Markets : Empirical Facts and Agent - Based Models (2007) — link
  17. Probability Distributions in Complex Systems (2009) — link
  18. Scaling and correlation in financial time series (2000) — link
  19. High frequency trading strategies, market fragility and price spikes: an agent based model perspective (2019) — link
  20. Introduction to Econophysics : Correlations and Complexity in Finance (1999) — link
  21. Volatilities of different time resolutions — Analyzing the dynamics of market components (1997) — link
  22. Financial markets as adaptive systems (1998)
  23. Empirical Distributions of Stock Returns : Between the Stretched Exponential and the Power Law ? (2005) — link
  24. Power law distribution in high frequency financial data? An econometric analysis (2011) — link
  25. Inverse cubic law for the distribution of stock price variations (1998) — link
  26. Scaling in Stock Market Data : Stable Laws and Beyond (1997) — link
  27. Learning, evolution and tick size effects in a simulation of the NASDAQ stock market (2001)
  28. Introduction to modern time series analysis (2007)
  29. Econometric analysis (2003)
  30. STL : A seasonal-trend decomposition (1990)
  31. A Multifractal Model of Asset Returns (1997) — link
  32. Multifractality of Deutschemark / US Dollar Exchange Rates (1997)
  33. Latency arbitrage, market fragmentation, and efficiency: A two-market model (2013)
  34. U. S . Equity Market Resiliency During Times of Extreme Volatility — link
  35. Equity market structure literature review Part II : High frequency trading (2014)
  36. ATS Transparency Data Quarterly Statistics \textbackslash textbar FINRA .org — link
  37. Alternative Display Facility ( ADF ) \textbackslash textbar FINRA .org — link
  38. Cboe U . S . Equities Exchanges Overview — link
  39. Bayesian inference for categorical data analysis (2005) — link
  40. Agent-based computational models and generative social science (1999)
  41. The Off Exchange Routing Decision (2019) — link
  42. Trading Participant Data - ATS Transparency Data — link
  43. OTC Trading Participant Data — link
  44. Regulation NMS (2005) — link
  45. Regulation of NMS Stock Alternative Trading Systems (2018) — link
  46. BIDS ATS Form ATS - N 013-00031 231104083 (2023) — link
  47. Order Routing Decisions for a Fragmented Market : A Review (2021)
  48. Alternative trading systems: Description of ATS trading in national market system stocks (2013)
  49. Effects of dark pools on financial markets’ efficiency and price discovery function: an investigation by multi-agent simulations (2015)
  50. Informational linkages between dark and lit trading venues (2014)
  51. A study of dark pool trading using an agent-based model (2013)
  52. Shades of darkness: A pecking order of trading venues (2017)
  53. Trading rules, competition for order flow and market fragmentation (2015)
  54. Towards a Model of the National Market System : Fragmented and Heterogenous Venues (2021)
  55. The flash crash: High -frequency trading in an electronic market (2017)
  56. Strategic market choice: Frequent call markets vs. continuous double auctions for fast and slow traders (2015)
  57. Agent-based model exploration of latency arbitrage in fragmented financial markets (2018)
  58. Otc trading: Description of non-ats otc trading in national market system stocks (2014)
  59. Innovation in the Stock Market and Alternative Trading Systems (2020)
  60. Hidden liquidity: Some new light on dark trading (2015)
  61. Dark pool trading strategies, market quality and welfare (2017)
  62. Do dark pools harm price discovery? (2014)
  63. SEC .gov \textbackslash textbar Form ATS - N Filings and Information — link
  64. The History of NYSE — link
  65. Point of Presence ( POP ) - Equinix NY11 Carteret — link
  66. US Equities / Options Connectivity Manual (2023) — link
  67. LTSE Very Simple Market ™ Connectivity Guide — link
  68. MIAX Pearl Equities Connectivity \textbackslash textbar MIAX — link
  69. US Equities FAQ – MEMX Exchanges — link
  70. IEX Square Edge \textbackslash textbar Updating the IEX Exchange Architecture for 2021 (2020) — link
  71. UTPPlan — link
  72. CTA - Overview — link
  73. High frequency market microstructure (2015)
  74. NYSE Pillar \textbackslash textbar Integrated Trading Technology — link
  75. The value of off-exchange data (2021)
  76. NYSE Equities Market Information — link
  77. TRF Exchange Participants \textbackslash textbar FINRA .org — link
  78. Quoting in Today ’s Market Favors the Primary Exchange Group — link
  79. IEX Square Edge \textbackslash textbar Performance Files : How IEX ’s D - Peg Order Type Delivers Price Improvement and Markouts — link
  80. Nasdaq Trades NYSE Listings Even Better than NYSE (2020) — link
  81. IEX Square Edge \textbackslash textbar Predicting the future, by just a few milliseconds — link
  82. powerlaw: a Python package for analysis of heavy-tailed distributions (2014)
  83. Agent-based modeling in economics and finance: Past , present, and future (2022)
  84. Revisiting Stylized Facts for Modern Stock Markets (2023)
  85. Adaptive Agents and Data Quality in Agent - Based Financial Markets — → 2311.15974
  86. Allocative efficiency of markets with zero-intelligence traders: Market as a partial substitute for individual rationality (1993)
  87. Zero is not enough: on the lower limit of agent intelligence for continuous double auction markets (1997)
  88. An open-source limit-order-book exchange for teaching and research (2018)
  89. Strategic bidding in continuous double auctions (2008)
  90. Behavior of trading automata in a computerized double auction market (2018)
  91. A standard protocol for describing individual-based and agent-based models (2006)
  92. Exhaustive Testing of Trader -agents in Realistically Dynamic Continuous Double Auction Markets : AA Does Not Dominate . (2019)
  93. Time Matters : Exploring the Effects of Urgency and Reaction Speed in Automated Traders (2021)
  94. Drilling through the Allegheny Mountains : Liquidity , materiality and high-frequency trading (2012)
  95. Be grateful for drizzle (2014)
  96. Will the market fix the market?: A theory of stock exchange competition and innovation (2019)
  97. Is the electronic open limit order book inevitable? (1994)
  98. Market 2000: An Examination of Current Equity Market Developments (1994)
  99. Equity trading in the 21st century (2011)
  100. Self- Regulatory Organizations ; Chicago Stock Exchange , Inc .; Notice of Filing of Proposed Rule Change to Adopt the CHX Liquidity Taking Access Delay (2016) — link
  101. Self- Regulatory Organizations ; Chicago Stock Exchange , Inc .; Notice of Filing of Proposed Rule Change to Adopt the CHX Liquidity Enhancing Access Delay (2017) — link
  102. EGTAOnline : An experiment manager for simulation-based game studies (2012)
  103. A Replication That Failed on the Computational Model in’ Michael W . Macy and Yoshimichi Sato : Trust , Cooperation and Market Formation in the US and Japan . Proceedings of the National Academy of Sciences , May 2002’ (2008)
  104. Revisiting Cont ’s stylized facts for modern stock markets (2025)
  105. Replication, replication and replication: Some hard lessons from model alignment (2003)
  106. A call for replication studies (2010)
  107. Resolving a replication that failed: News on the Macy & Sato model (2009)
  108. The surprising success of a replication that failed (2010)
  109. A replication and analysis of tiebout competition using an agent-based computational model (2015)
  110. Visual ODD : A standardised visualisation illustrating the narrative of agent-based models (2024)
  111. Replicating and breaking models: good for you and good for ecology (2015)
  112. Horizontal and vertical multiple implementations in a model of industrial districts (2008)
  113. A call to arms: standards for agent-based modeling and simulation (2015)
  114. How new concepts become universal scientific approaches: insights from citation network analysis of agent-based complex systems science (2018)
  115. Prospects and pitfalls of statistical testing: Insights from replicating the demographic prisoner’s dilemma (2010)
  116. Comment Letter to the U . S . Securities and Exchange Commission Regarding SR - CHX -2016-16 ( CHX Liquidity Taking Access Delay ) (2016) — link
  117. Order-flow segmentation, liquidity, and price discovery: The role of latency delays (2020)
  118. High-frequency trading and market performance (2020)
  119. The high-frequency trading arms race: Frequent batch auctions as a market design response (2015)
  120. Information transmission between financial markets in Chicago and New York (2014)
  121. Equity market structure literature review part i: Market fragmentation (2013)
  122. Do stock exchanges specialize? Evidence from the New Jersey transaction tax proposal (2023)
  123. Flash boys: a Wall Street revolt (2014)
  124. On the electrodynamics of moving bodies (1905)
  125. The social structure of liquidity: Flexibility , markets, and states (1999)
  126. SEC .gov \textbar Unlisted Trading Privileges — link
  127. Building the Santa Fe artificial stock market (2002)
  128. A simulation model of stock exchange trading (1983)
  129. The Convergence and Stability of Cultures : Local Convergence and Global Polarization \textbackslash textbackslashtextbar Santa Fe Institute — link
  130. The impact of the leverage effect on the implied volatility smile: evidence for the German option market (2021)
  131. The dependence between hourly prices and trading volume (1988)
  132. Heteroskedasticity in stock return data: Volume versus GARCH effects (1990)
  133. Statistical properties of share volume traded in financial markets (2000)
  134. Cross-correlations between volume change and price change (2009)
  135. A subordinated stochastic process model with finite variance for speculative prices (1973)
  136. Economic fluctuations and anomalous diffusion (2000)
  137. Stochastic volatility of financial markets as the fluctuating rate of trading: An empirical study (2007)
  138. The distribution of realized stock return volatility (2001)
  139. Intraday periodicity and volatility persistence in financial markets (1997)
  140. Statistical properties of the volatility of price fluctuations (1999)
  141. Development of an agent-based speculation game for higher reproducibility of financial stylized facts (2019)
  142. A multiscale view on inverse statistics and gain/loss asymmetry in financial time series (2009)
  143. Optimal investment horizons for stocks and markets (2006)
  144. Synchronizing stock market clocks to UTC ( NIST ) (2020)
  145. Joint Industry Plan ; Order Approving the National Market System Plan Governing the Consolidated Audit Trail (2016) — link
  146. CTA — link
  147. UTP Unlisted Trading Privileges — link
  148. A geographical model for the daily and weekly seasonal volatility in the foreign exchange market (1993)
  149. On the distribution of stock price differences (1967)
  150. Quadratic Hawkes processes for financial prices (2017)
  151. Time reversal invariance in finance (2009)
  152. The ODD protocol: a review and first update (2010)
  153. Welfare effects of market making in continuous double auctions (2017)
  154. Computational Models of Algorithmic Trading in Financial Markets . (2016)
  155. Using the ODD protocol and NetLogo to replicate agent-based models (2025)
  156. Regulation NMS : Minimum Pricing Increments , Access Fees , and Transparency of Better Priced Orders (2024) — link
  157. Notice of Filing of Amendment No . 2 and Order Granting Accelerated Approval of a Proposed Rule Change , as Modified by Amendment No . 2, to Amend Rules 4702(b)(14) and (b)(15) Concerning Dynamic M - ELO Holding Period (2023) — link
  158. Leveraging modularity during replication of high-fidelity models: lessons from replicating an agent-based model for HIV prevention (2020)
  159. Informed traders and limit order markets (2009)
  160. Report of the Special Study of the Securities Markets of the Securities and Exchange Commission (1963) — link
  161. Applying Artificial Intelligence & Reinforcement Learning Methods Towards Improving Execution Outcomes (2022)
  162. Limit order books (2013)
  163. Statistical theory of the continuous double auction (2003)
  164. Herd behavior and aggregate fluctuations in financial markets (2000)
  165. Quantitative Model of Price Diffusion and Market Friction Based on Trading \textless ? format? \textgreater as a Mechanistic Random Process (2003)
  166. An analysis of price impact function in order-driven markets (2003)
  167. Cboe U . S . Equities Market Volume Summary — link
  168. An artificial stock market (1999)
  169. Agent-based modeling: What I learned from the artificial stock market (2002)
  170. The ghost in the model (and other effects of floating point arithmetic) (2005)
  171. Lessons learned from converting the artificial stock market to interval arithmetic (2005)
  172. A Financial Market Simulation Environment for Trading Agents Using Deep Reinforcement Learning (2024)
  173. Open Exchange ( OpEx ) / Wiki / Home (2012) — link
  174. Abides: Towards high-fidelity market simulation for ai research (2019) — link
  175. Agent-based modeling: The Santa Fe Institute artificial stock market model revisited (2008)
  176. Fast agent-based simulation framework with applications to reinforcement learning and the study of trading latency effects (2021)
  177. The double auction market institution: A survey (2018)
  178. TXSE Fact Sheet (2025) — link
  179. Public Regulation of the Securities Markets (1964) — link

1 of 187 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.