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Overview
Governance of a blockchain requires balancing the rights and responsibilities of users, developers, sponsors, and investors. Ensuring the integrity of decentralized systems is particularly challenging given the tendency of economic systems to evolve toward power-law distributions of wealth that enable power to concentrate toward a few actors. Cardano's innovative saturation algorithm for stakepool incentives has made a significant contribution to establishing the most decentralized cryptocurrency validation process. The design of a system to aggregate and saturate the governance voting process would have a similar impact on developing a vibrate, diverse community of stakeholders overseeing the development of the Cardano ecosystem.
Proposed Outcomes

1. Design protocols for the Cardano voting process which will incentivize a diversity of contributors.
2. Provide analysis regarding how the saturation of voting influence would ensure that small stakeholders are incentivized to participate while ensuring that strongly-opinionated minorities do not unduly thwart majority stakeholder opinions.
3. Develop a plan for simulating decentralized majority-vote dynamics so that proposed voting policies can be rigorously analyzed, providing the community with guidance on expected outcomes as governance policies are developed and evaluated.
   Methodology
   Governance is an important principle of any enterprise, whether a private business, government entity or non-profit organization. To ensure fair and high-quality decision-making, voting needs to be fair, and it needs to represent all involved parties impartially. Modeling opinion dynamics and voting processes is a complex task since it involves people, and people are not always rational. In modern-day democracies, opinions are shaped by transparent dialogue and majority-based voting is the standard to make decisions about governments, elected officials, rules, and regulations that govern a country. Corporations also base governance on dialogue and voting by shareholders to make business decisions such as electing management or deciding on dividend policies. Often minority shareholders select proxies who are delegated to vote on their behalf. Non-profit organizations consider inputs from donors, internal governance structures, as well as the Board of Trustees when making important organizational or strategic decisions.
   Decentralized blockchains present an opportunity to improve governance. The innovative idea of creating a business and inviting a community to participate in the governance of such a business is an approach to ensure fairness and best-practice decision-making to shape the future of the enterprise. One of the main challenges in blockchain governance is ensuring minority interest representation. Another challenge includes the possibility that a powerful minority would swing the decision-making process towards their interests, which might not be aligned with the interest of the rest of the community. Our goal is to emphasize the public interest in the decision-making process. Public opinion is important for improving and shaping important decisions, and allocating a public discussion period before the final decision is made is of utmost importance.
   To support the Cardano community in achieving the goal of high-quality governance that is responsive to the community's opinions, Photrek will develop protocols for the voting process that includes gradual saturation of voting influence per wallet. We will examine the role of aggregating votes, determining how this impacts user's experience in influencing voting outcomes. We will build on research modeling information spreading through the corporate directorship networks by taking into consideration the different strengths of information propagation depending on the number of links between the source and the target of given information within the corporate board membership network (Huang, Vodenska, et al., 2011). We will develop a plan for how agent-based modeling of voting dynamics can be used to simulate and stress test proposed modifications to the Cardano voting process. (Bertella et. al, 2017 & Vilela, et al. 2019).
   The Cardano blockchain is a technological innovation of a decentralized economy that requires a well-designed network-oriented governance structure. Compared to governance in public, corporate or non-profit organizations, network-based governance introduces multi-layer decision-making processes via different stakeholder interest representation. One of the main benefits of layered decentralized governance is the possibility to implement effective risk management by influencing and mandating the correction of the system before it becomes unstable. Complex networks have been used to model such propagation mechanisms emphasizing the strength of the initial source of spreading as well as the level of the interconnectivity of the entire network (Huang, Vodenska, et. al., 2013; Curme, Vodenska, et. al., 2015; Sakamoto & Vodenska, 2017). The blockchain could introduce governance that would protect those who are at risk because the bearers of risk are also the decision-makers. This seminal change in governance structure eliminates the necessity to persuade outside governing or regulating bodies to take steps to reduce the systemic risk or prevent a collapse of an economy (Pirson & Tumbull, 2011).
   An important aspect of the blockchain economy is its radical difference from the well-established understanding of governance.
   The Decentralized Autonomous Organization (DAO) has the benefit of autonomous enforcement of contracts, following rules defined by smart contracts, representing participant interests autonomously, which reduces the possibility of fraud. In a decentralized economy, with well-defined rules, decision rights, and accountability, participants are empowered to contribute to the stability of the blockchain since they are simultaneously the contributors and the beneficiaries of the system. Blockchains are referred to as harbingers of a new economic era (Beck et al., 2018). Cryptocurrencies represent the prototype of blockchain-based organizations, residing in cyberspace, rather than in any specific institution or country. They are ideal for introducing novel approaches to governing a truly global complex organization with an efficiency of governing a simple local institution (Hsieh et al., 2017).
   Milestones, KPIs, Schedule, and Budget
   The Diversify Voting Influence project is planned as a 3-month effort and a budget of $14,000 USD payable in ADA. A milestone and its key performance indicators (KPI) are defined for each month of the project.

Month 1 Milestone: Define aggregation and influence functions, $5,000
KPIs

1. A literature review of voting aggregation and influence functions has been provided to the Cardano community for open review.
2. 3-5 models for aggregation and influence have been identified for analysis.
3. Initiate engagement with the Cardano community to provide input and feedback on project progress.

Month 2 Milestone: Analysis of aggregation and influence functions, $4,000

1. KPIs

1. Do our analytical tools provide clarity regarding the distribution of participants, aggregation pools, and influence? A foundation of the analysis will be generalized logarithms from the information theory of complex systems.
2. This class of functions includes the saturation function used for stakepool influence. The KPI to measure is whether this class of functions is sufficient to define algorithms which balance security and diversity goals for governance participation.
3. Have we communicated the methods and analysis in a manner that is contributing to Cardano's governance plans?

Month 3 Milestone: Design of majority-vote simulations for testing of protocols, $5,000
KPIs

1. Demonstrate how Monte-Carlo simulations of social interaction and its role in shaping the voting dynamics of Cardano governance.
2. How well have we engaged the Cardano community in understanding the fundamental issues and benefits of analysis and simulation in preparing for design decisions for governance protocols?

IP Strategy
The project will be managed as an open-source effort using the GPL 3.0 license. A Github repository has been initiated to draft documents and code. Contributions and feedback from the Cardano community will be welcome throughout the project. https://github.com/Photrek/Cardano-Catalyst/tree/main/Diversify%20Voting%20Influence

References
Beck, R., Müller-Bloch, C., & King, J. L. (2018). Governance in the blockchain economy: A framework and research agenda. Journal of the Association for Information Systems, 19(10), 1.

Bertella M.A., Pires F.R., Rego H.H.A., Silva J.N., Vodenska I., and Stanley H.E. Confidence and self-attribution bias in an artificial stock market, PLoS ONE 12(2): e0172258. DOI:10.1371/journal.pone.0172258 (2017)

Curme, C., H.E. Stanley, and I. Vodenska, Coupled network approach to the predictability of financial market returns and news sentiments, International Journal of Theoretical and Applied Finance, Vol 18, No. 7, (2015)

Hsieh, Y. Y., Vergne, J. P. J., & Wang, S. (2017). The internal and external governance of blockchain-based organizations: Evidence from cryptocurrencies. In Bitcoin and Beyond (Open Access) (pp. 48-68). Routledge

Huang, X., Vodenska, I., Havlin, S. & H.E. Stanley, Cascading Failures in Bi-partite Graphs: Model for Systemic Risk Propagation. Nature Scientific Reports 3, 1219; DOI:10.1038/srep01219 (2013).

Huang, X., Vodenska, I., F.Z. Wang, S. Havlin, and H.E. Stanley, Identifying influential directors in the United States corporate governance network. Physical Review E, Vol. 84, 046101 (2011)

Kearns, M., Judd, S., Tan, J., & Wortman, J. (2009). Behavioral experiments on biased voting in networks. Proceedings of the National Academy of Sciences, 106(5), 1347-1352.

Masuda, N., Gibert, N., & Redner, S. (2010). Heterogeneous voter models. Physical Review E, 82(1), 010103.

Nelson, K. and Vilela, Majority-Vote Dynamics for IOTA Transaction Consensus, Final Report, 2020.

Pirson, M., & Turnbull, S. (2011). Toward a more humanistic governance model: Network governance structures. Journal of Business Ethics, 99(1), 101-114.

Sakamoto, Y. and Vodenska, I., Systemic risk propagation in the bank-asset network: New perspective of the Japanese banking crisis of the 1990s, Journal of Complex Networks, Oxford University Press, Vol. 5 Issue 2, pp. 315-333 DOI: 10.1093/comnet/cnw018 (2017)

Vilela, André L. M., Eugene, Stanley, H. (2018) Effect of Strong Opinions on the Dynamics of the Majority-Vote Model, Scientific Reports, 8, 8709.

Vilela, Andre L. M.; Wang, C., Nelson, K. P. and Stanley, H. E. (2019) "Majority-vote model for financial markets," Phys. A Stat. Mech. its Appl., vol. 515, pp. 762–770.

Yildiz, M. E., Pagliari, R., Ozdaglar, A., & Scaglione, A. (2010, February). Voting models in random networks. In 2010 Information Theory and Applications Workshop (ITA) (pp. 1-7). IEEE.

Zhang, B., Oliynykov R., and Balogun. (2019). A Treasury System for Cryptocurrencies: Enabling Better Collaborative Intelligence. In Network and Distributed System Security Symposium (NDSS).

Photrek Team
Dr. Kenric Nelson is President and Founder of Photrek, which is developing novel approaches to Complex Decision Systems, including the dynamics of cryptocurrency protocols, sensor systems for ecological studies, and robust machine learning methods. His recent experience includes Research Professor with Boston University's Department of Electrical & Computer Engineering and Sr. Principal Systems Engineer with Raytheon Company. He has pioneered novel approaches to measuring and fusing information, which have been applied to improving the accuracy and robustness of radar signal processing, sensor fusion, and machine learning algorithms. His education in electrical engineering includes completing a B.S. degree summa cum laude from Tulane University, an M.S. degree from Rensselaer Polytechnic Institute, and a Ph.D. degree from Boston University. His professional education includes an Executive Certificate from MIT Sloan and a certification with the Program Management Institute.
Nelson is the Principal Investigator for the project. Nelson ran the AdaStar staking node during Cardano's Incentivized Test Network for the Shelley development. He's expertise in designing and analyzing complex systems will be applied to design and analysis of voter models which include aggregation and saturation for incentivizing diverse participation.
Dr. André L. M. Vilela has investigated the dynamics of interacting agent-based models in statistical mechanics, combining phase transitions, critical phenomena, and finite-size scaling analysis with sociophysics, econophysics, and complex network theory. His research focuses on unveiling the underlying mathematical mechanisms that drive the behavior of agents in groups within social networks and financial markets, and how their decisions promote active collective phenomena. He is a Distinguished Visiting Scientist at Boston University, a full Professor at the University of Pernambuco, and Coordinator of the Materials Physics undergraduate program. His education in Physics includes completing a B.S. degree With High Honors Award, an MSc. degree with Distinction Award, and a Ph.D. degree from the Federal University of Pernambuco.
Vilela developed a majority-vote simulation for the IOTA foundation evaluating the potential for cellular automata consensus. Vilela will analyze the majority-vote dynamics with saturation and aggregation, and develop a plan for agent-based simulation.