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Mapping information flows among digital assets: An entropy and network-based study of cryptocurrencies, DeFi, and NFTs

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  • Le, Thai Hong
  • Pham, Dat Thanh
  • Le, Khanh Ngoc
  • Le, Anh Chi
  • Nguyen, Huong Mai Thi

Abstract

This study examines the interconnectedness and information spillovers among cryptocurrencies, decentralized finance (DeFi), and non-fungible tokens (NFTs). Using a time-varying entropy-based network framework that combines transfer entropy and minimum spanning tree (MST) methodologies, we quantify directional information flows and market integration across these asset classes. The results show strong and asymmetric spillover effects from major cryptocurrencies, with Bitcoin and Ethereum serving as dominant transmitters, while DeFi and NFTs largely act as net receivers of information. DeFi plays a bridging role that links asset categories but remains highly dependent on core cryptocurrencies, whereas NFTs exhibit weaker integration and peripheral positions in the network. These findings highlight the evolving hierarchy and dynamic linkages across digital assets, and they carry practical and policy implications by underscoring the need for robust risk management strategies for investors and prudential monitoring of systemically important tokens and protocols to safeguard financial stability.

Suggested Citation

  • Le, Thai Hong & Pham, Dat Thanh & Le, Khanh Ngoc & Le, Anh Chi & Nguyen, Huong Mai Thi, 2026. "Mapping information flows among digital assets: An entropy and network-based study of cryptocurrencies, DeFi, and NFTs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
  • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125007320
    DOI: 10.1016/j.physa.2025.131080
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    1. Yousaf, Imran & Yarovaya, Larisa, 2022. "Static and dynamic connectedness between NFTs, Defi and other assets: Portfolio implication," Global Finance Journal, Elsevier, vol. 53(C).
    2. Erdinc Akyildirim & Ahmet Faruk Aysan & Oguzhan Cepni & Özge Serbest, 2024. "Sentiment matters: the effect of news-media on spillovers among cryptocurrency returns," The European Journal of Finance, Taylor & Francis Journals, vol. 30(14), pages 1577-1613, September.
    3. Ijaz Younis & Himani Gupta & Waheed Ullah Shah & Arshian Sharif & Xuan Tang, 2024. "The Effects of Economic Uncertainty and Trade Policy Uncertainty on Industry-Specific Stock Markets Equity," Computational Economics, Springer;Society for Computational Economics, vol. 64(5), pages 2909-2933, November.
    4. Hilmi Tunahan Akkus & Mesut Dogan, 2024. "Analysis of dynamic connectedness relationships between cryptocurrency, NFT and DeFi assets: TVP-VAR approach," Applied Economics Letters, Taylor & Francis Journals, vol. 31(21), pages 2250-2255, December.
    5. Mukhia, Kundan & Rai, Anish & Luwang, S.R. & Nurujjaman, Md & Majhi, Sushovan & Hens, Chittaranjan, 2024. "Complex network analysis of cryptocurrency market during crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    6. Chowdhury, Mohammad Ashraful Ferdous & Abdullah, Mohammad & Alam, Masud & Abedin, Mohammad Zoynul & Shi, Baofeng, 2023. "NFTs, DeFi, and other assets efficiency and volatility dynamics: An asymmetric multifractality analysis," International Review of Financial Analysis, Elsevier, vol. 87(C).
    7. Jiang, Wen & Xu, Qiuhua & Zhang, Ruige, 2022. "Tail-event driven network of cryptocurrencies and conventional assets," Finance Research Letters, Elsevier, vol. 46(PB).
    8. Assaf, Ata & Mokni, Khaled & Youssef, Manel, 2023. "COVID-19 and information flow between cryptocurrencies, and conventional financial assets," The Quarterly Review of Economics and Finance, Elsevier, vol. 89(C), pages 73-81.
    9. Roman Kräussl & Alessandro Tugnetti, 2024. "Non‐Fungible Tokens (NFTs): A Review of Pricing Determinants, Applications and Opportunities," Journal of Economic Surveys, Wiley Blackwell, vol. 38(2), pages 555-574, April.
    10. Everton Anger Cavalheiro & Kelmara Mendes Vieira & Pascal Silas Thue, 2024. "The impact of investor greed and fear on cryptocurrency returns: a Granger causality analysis of Bitcoin and Ethereum," Review of Behavioral Finance, Emerald Group Publishing Limited, vol. 16(5), pages 819-835, April.
    11. Mensi, Walid & Gubareva, Mariya & Kang, Sang Hoon, 2024. "Frequency connectedness between DeFi and cryptocurrency markets," The Quarterly Review of Economics and Finance, Elsevier, vol. 93(C), pages 12-27.
    12. Peter Fratrič & Giovanni Sileno & Sander Klous & Tom Engers, 2022. "Manipulation of the Bitcoin market: an agent-based study," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-29, December.
    13. Ji, Qiang & Bouri, Elie & Gupta, Rangan & Roubaud, David, 2018. "Network causality structures among Bitcoin and other financial assets: A directed acyclic graph approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 70(C), pages 203-213.
    14. Cagli, Efe Caglar & Mandaci, Pinar Evrim, 2023. "Time and frequency connectedness of uncertainties in cryptocurrency, stock, currency, energy, and precious metals markets," Emerging Markets Review, Elsevier, vol. 55(C).
    15. Chen, Meichen & Qin, Cong & Zhang, Xiaoyu, 2022. "Cryptocurrency price discrepancies under uncertainty: Evidence from COVID-19 and lockdown nexus," Journal of International Money and Finance, Elsevier, vol. 124(C).
    16. Delia-Elena Diaconaşu & Seyed Mehdian & Ovidiu Stoica, 2022. "An analysis of investors’ behavior in Bitcoin market," PLOS ONE, Public Library of Science, vol. 17(3), pages 1-18, March.
    17. Mensi, Walid & Rehman, Mobeen Ur & Vo, Xuan Vinh & Kang, Sang Hoon, 2024. "Spillovers and multiscale relationships among cryptocurrencies: A portfolio implication using high frequency data," Economic Analysis and Policy, Elsevier, vol. 82(C), pages 449-479.
    18. Zihui Yang & Yinggang Zhou, 2017. "Quantitative Easing and Volatility Spillovers Across Countries and Asset Classes," Management Science, INFORMS, vol. 63(2), pages 333-354, February.
    19. Zitis, Pavlos I. & Contoyiannis, Yiannis & Potirakis, Stelios M., 2022. "Critical dynamics related to a recent Bitcoin crash," International Review of Financial Analysis, Elsevier, vol. 84(C).
    20. Zeng, Hongjun & Huang, Qingcheng & Abedin, Mohammad Zoynul & Ahmed, Abdullahi D. & Lucey, Brian, 2025. "Connectedness and frequency connection among green bond, cryptocurrency and green energy-related metals around the COVID-19 outbreak," Research in International Business and Finance, Elsevier, vol. 73(PA).
    21. Rim El Khoury & Nohad Nasrallah & Khaled Hussainey & Rima Assaf, 2023. "Spillover analysis across FinTech, ESG, and renewable energy indices before and during the Russia–Ukraine war: International evidence," Post-Print hal-04564870, HAL.
    22. Yu, Xiaoling & Cifuentes-Faura, Javier, 2024. "Information spillover among cryptocurrency and traditional financial assets: Evidence from complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 646(C).
    23. Maouchi, Youcef & Charfeddine, Lanouar & El Montasser, Ghassen, 2022. "Understanding digital bubbles amidst the COVID-19 pandemic: Evidence from DeFi and NFTs," Finance Research Letters, Elsevier, vol. 47(PA).
    24. Bhanja, Niyati & Shah, Adil Ahmad & Dar, Arif Billah, 2023. "Aggregate, asymmetric and frequency-based spillover among equity, precious metals, and cryptocurrency," Resources Policy, Elsevier, vol. 80(C).
    25. Liu, Peng & Yuan, Ying, 2024. "Is Bitcoin a hedge or safe-haven asset during the period of turmoil? Evidence from the currency, bond and stock markets," International Review of Financial Analysis, Elsevier, vol. 96(PB).
    26. Muhammad Tahir Suleman & Umaid A Sheikh & Emilios C. Galariotis & David Roubaud, 2025. "The impact of bitcoin fear and greed on good and bad network connectedness: the case of the US sectoral high frequency returns," Annals of Operations Research, Springer, vol. 347(1), pages 633-677, April.
    27. Chen, Wei-Peng & Wu, Chih-Chiang & Aimable, Withz, 2025. "Cryptocurrency market spillover in times of uncertainty," The North American Journal of Economics and Finance, Elsevier, vol. 76(C).
    28. Kumar, Sanjeev & Patel, Ritesh & Iqbal, Najaf & Gubareva, Mariya, 2023. "Interconnectivity among cryptocurrencies, NFTs, and DeFi: Evidence from the Russia-Ukraine conflict," The North American Journal of Economics and Finance, Elsevier, vol. 68(C).
    29. Kyriazis, Nikolaos & Corbet, Shaen, 2024. "Evaluating the dynamic connectedness of financial assets and bank indices during black-swan events: A Quantile-VAR approach," Energy Economics, Elsevier, vol. 131(C).
    30. Ahmed H. Elsayed & Giray Gozgor & Chi Keung Marco Lau, 2022. "Causality and dynamic spillovers among cryptocurrencies and currency markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 2026-2040, April.
    31. Dirk G. Baur & Lai T. Hoang, 2024. "Cryptocurrency spillovers and correlations: inefficiency and co-movement," Digital Finance, Springer, vol. 6(2), pages 203-224, June.
    32. Bekiros, Stelios & Nguyen, Duc Khuong & Sandoval Junior, Leonidas & Uddin, Gazi Salah, 2017. "Information diffusion, cluster formation and entropy-based network dynamics in equity and commodity markets," European Journal of Operational Research, Elsevier, vol. 256(3), pages 945-961.
    33. Pengcheng Zhang & Kunpeng Xu & Jian Huang & Jiayin Qi, 2024. "Investor sentiment and the holiday effect in the cryptocurrency market: evidence from China," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 10(1), pages 1-36, December.
    34. Han, SeungOh, 2025. "Dynamic risk and hedging strategies in post-COVID digital asset sectors," Research in International Business and Finance, Elsevier, vol. 75(C).
    35. Ji, Qiang & Bouri, Elie & Roubaud, David & Kristoufek, Ladislav, 2019. "Information interdependence among energy, cryptocurrency and major commodity markets," Energy Economics, Elsevier, vol. 81(C), pages 1042-1055.
    36. Parisa Foroutan & Salim Lahmiri, 2024. "Connectedness of cryptocurrency markets to crude oil and gold: an analysis of the effect of COVID-19 pandemic," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 10(1), pages 1-23, December.
    37. Dowling, Michael, 2022. "Is non-fungible token pricing driven by cryptocurrencies?," Finance Research Letters, Elsevier, vol. 44(C).
    38. Bejaoui, Azza & Frikha, Wajdi & Jeribi, Ahmed & Bariviera, Aurelio F., 2023. "Connectedness between emerging stock markets, gold, cryptocurrencies, DeFi and NFT: Some new evidence from wavelet analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    39. Bouri, Elie & Hussain Shahzad, Syed Jawad & Roubaud, David, 2020. "Cryptocurrencies as hedges and safe-havens for US equity sectors," The Quarterly Review of Economics and Finance, Elsevier, vol. 75(C), pages 294-307.
    40. Lihui Tian & Haifeng Wu & Qichang Xie, 2025. "The impact of FOMC announcements on cryptocurrency risk spillover across different market conditions," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 161(3), pages 1035-1069, August.
    41. Gunay, Samet & Goodell, John W. & Muhammed, Shahnawaz & Kirimhan, Destan, 2023. "Frequency connectedness between FinTech, NFT and DeFi: Considering linkages to investor sentiment," International Review of Financial Analysis, Elsevier, vol. 90(C).
    42. Hsu, Shu-Han & Sheu, Chwen & Yoon, Jiho, 2021. "Risk spillovers between cryptocurrencies and traditional currencies and gold under different global economic conditions," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    43. Qiao, Xingzhi & Zhu, Huiming & Tang, Yiding & Peng, Cheng, 2023. "Time-frequency extreme risk spillover network of cryptocurrency coins, DeFi tokens and NFTs," Finance Research Letters, Elsevier, vol. 51(C).
    44. Diebold, Francis X. & Yılmaz, Kamil, 2014. "On the network topology of variance decompositions: Measuring the connectedness of financial firms," Journal of Econometrics, Elsevier, vol. 182(1), pages 119-134.
    45. Parthajit Kayal & Moinak Maiti, 2023. "Examining the asymmetric information flow between pairs of gold, silver, and oil: a transfer entropy approach," SN Business & Economics, Springer, vol. 3(10), pages 1-22, October.
    46. Liao, Xin & Li, Qin & Chan, Stephen & Chu, Jeffrey & Zhang, Yuanyuan, 2024. "Interconnections and contagion among cryptocurrencies, DeFi, NFT and traditional financial assets: Some new evidence from tail risk driven network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
    47. Chowdhury, Md Iftekhar Hasan & Hasan, Mudassar & Bouri, Elie & Tang, Yayan, 2024. "Emotional spillovers in the cryptocurrency market," Journal of Behavioral and Experimental Finance, Elsevier, vol. 41(C).
    48. Etienne Harb & Charbel Bassil & Talie Kassamany & Roland Baz, 2024. "Volatility Interdependence Between Cryptocurrencies, Equity, and Bond Markets," Computational Economics, Springer;Society for Computational Economics, vol. 63(3), pages 951-981, March.
    49. Zhao, Mingguo & Park, Hail, 2024. "Quantile time-frequency spillovers among green bonds, cryptocurrencies, and conventional financial markets," International Review of Financial Analysis, Elsevier, vol. 93(C).
    50. Fakhfekh, Mohamed & Bejaoui, Azza & Bariviera, Aurelio F. & Jeribi, Ahmed, 2024. "Dependence structure between NFT, DeFi and cryptocurrencies in turbulent times: An Archimax copula approach," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
    51. Ji, Qiang & Fan, Ying, 2016. "Evolution of the world crude oil market integration: A graph theory analysis," Energy Economics, Elsevier, vol. 53(C), pages 90-100.
    52. repec:eme:mfppss:mf-08-2021-0355 is not listed on IDEAS
    53. Abakah, Emmanuel Joel Aikins & Wali Ullah, G M & Abdullah, Mohammad & Lee, Chi-Chuan & Sulong, Zunaidah, 2024. "Correlation structure between fiat currencies and blockchain assets," Finance Research Letters, Elsevier, vol. 62(PA).
    54. Karim, Sitara & Lucey, Brian M. & Naeem, Muhammad Abubakr & Uddin, Gazi Salah, 2022. "Examining the interrelatedness of NFTs, DeFi tokens and cryptocurrencies," Finance Research Letters, Elsevier, vol. 47(PB).
    55. Alnafisah, Hind & Almansour, Bashar Yaser & Elabed, Wajih & Jeribi, Ahmed, 2025. "Spillover dynamics of digital assets during economic and political crises," Research in International Business and Finance, Elsevier, vol. 75(C).
    56. Kundan Mukhia & Anish Rai & SR Luwang & Md Nurujjaman & Sushovan Majhi & Chittaranjan Hens, 2024. "Complex network analysis of cryptocurrency market during crashes," Papers 2405.05642, arXiv.org.
    57. Shu, Mingyu & Liu, Baoliu & ouyang, Wenpei & Sun, Rengui & Lin, Yaoyang, 2025. "Multi-scale dynamic correlation and information spillover effects between climate risks and digital cryptocurrencies: Based on wavelet analysis and time-frequency domain QVAR," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 663(C).
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    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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