1. Overview

This page Introduces Endgame protocol’s fair token launch & $HODOR‘s self-marketmaking tokenomics based on Trader Joe’s version 2.1 liquidity book mechanism.

This page serves to introduce an innovative token issuance and self-market-making mechanism known as the Risk-Free Value floor token, based on principle of liquidity book put forward by @TraderJoe_xyz. And this primary objective of applying liquidity book is to effectively mitigate liquidity risks and facilitate equitable token launches.

Its implementation in $HODOR tokenomics designed by @endgamerDAO, enables individuals to acquire token discounts and obtain market premiums in a more equitable and lower-risk manner, which is achieved through the establishment of a stable price of floor token derived from the movement of buy and sell orders (Bins) on the TraderJoe’s platform.

By addressing the problems posed by liquidity opacity and unknown risks stemming from information asymmetry in the realm of crypto assets, this mechanism promotes enhanced transparency and fosters collaborative benefits for all stakeholders involved. The functioning of this mechanism relies on leveraging the liquidity book mechanism to encapsulate various processes such as trading, taxation, self marketmaking, and multi-party incentives strategies into a comprehensive set of smart contracts.

Its operation is based on a liquidity book that encapsulates transactions, taxation, automated market-making, and multi-party incentives into a series of smart contracts to replace arbitrary centralized third parties for transparent and automatic execution. This will provide participants with 100% fully transparent information and 100% fully controllable risk management, allowing the entire project community to fully focus on real market business and demand.

Official Contract Address
$HODOR token address: 0x4129660BC2771288492095a3aEdbBbeb26E6B5cE Staking contract address: 0x6b92821c2B1405a715aB6704E7c7B1745C0CA19b Team address: 0xE4D03D3149d0006fE2d14a779edD02C052a407DB Invitation contract address: 0x268031Cb5E4Fd4800Df99E2D1254731a37812AE8 Lucky pool contract address: 0x7194C0f9755f84623CDf4669B6001C4948A348C6 Rebalancing contract address: 0x510482385Fd66A0C186cF9B8FcC6c5BDc4aBf0e5 Liquidity pool contract address: 0x1bddD6656165b50B1C374E6BCa5368976505c081 Community treasury address: 0x8afED3603f2609cA0D677B0d1f7107E1CF316006

2. Self-marketmaking Tokenomics & Liquidity Boostrapping

2.1 Motivation · Ideas of improvement of tokenomics design of $HODOR developed by EndgamerDAO came from a recent digital experimental commodity in $Lotus & $Jimbo's digital experiments. Its crucial objective of $HODOR token is to foster the creation and inspiration of more on-chain self marketmaking strategies, enabling future early-stage projects to propagate autonomously without the need for manual intervention. · Anyone can permissionless buy and sell at any time without worrying about the huge risks brought by opaque liquidity fraud.

2.2 Mechanism In order to stimulate the market, it is essential to have an initial release that is relatively fast and low-priced, enabling the market to enjoy early incentives such as discounts or premiums. As Bins progress, a fixed supply is gradually and consistently issued to reach its peak. Concurrently, the floor price continually tracks the market price to establish a liquidity buy wall.

If we attempt to maintain infinite upward potential, stable floor price liquidity, transparent risk disclosure and management, as well as continuous and seamless purchasing reserves, here are some key components in this system. 2.2.1 Reasonable BIN distribution rules 2.2.2 Practical smart contracts to ensure multi-party Incentives 2.2.3 Accurate RFV automatic rebalance liquidity mechanism 2.2.4 Auto-LP More dive-deep clarification on these four keys as below:

2.2.1 Reasonable BIN distribution rules - Introduction
$HODOR total supply : 58,504,624 Initial Bin Quantity : 10,000 Initial Bin Price : 0.000006 ETH Initial Bin Value : 0.06 ETH Providing the community with appropriate profit-making opportunities and symmetric risk control is necessary. However, unlike the XYZ curve, where the earlier you enter, the lower the price and the more chips you get, the Sigmoid curve can more reasonably construct the growth model of crypto economy from 0 to 1, combining both growth potential and stability.
- Operating Principle Modeling based on the Sigmoid curve is as follows

- Definition of the Parameters t: The number of tokens in the initial bin, such as the line segment AO in the graph; a: The value that the number of Tokens in the bin approaches as the bin quantity increases; b: An intermediate variable that changes with a S, R, and t, mainly affecting the stretching of the graph in the x-axis direction; c: An intermediate variable, the x-axis position of the turning point where the growth rate of the number of Tokens in the bin goes from low to high and then decreases, mainly affecting the left and right translation of the function graph on the x-axis; S: Represents the total amount of tokens issuance, as shown in the graphic ,it is the area enclosed by the points A, C, D, and O on the coordinate axis. k: Represents the slope of the curve, can be used for adjusting R. As the value of k gets smaller, it means the liquidity goes more concentrated; R: Represents the ratio of the circulation to the total supply under different slope ratio, k, and the curve trend can be easily adjusted by changing the value of R whose value also can be taken as the coverage ratios of the area enclosed by the points A, B, E, and O on the coordinate axis to the area enclosed by the points A, C, D, and O on the coordinate axis. shown in the graphic above, In other words, when it is reaching to point A，C，D，O, this ratio can also be taken as the proportion of the issuance represented by S to the total token issuance when the curve change rate is at its maximum.

- Formula Caculation By setting the total issuance of S, the issuance ratio under different slopes, and the value of para a that the number of tokens in the bin approaches infinitely, and the initial BIN coin quantity value of t, the curve can be adjusted to find a suitable Bin distribution.

The further forwafrd point B is, the steeper the curve; the further back point B is, the gentler the curve. Therefore, we need to find out the x-coordinate of point B, and by taking the derivative of the original function, we can obtain as the following:

An unknown variable x (plotted on the x-axis) is set here.

When X ∈ (-∞, -c), f'(X) is monotonically increasing, otherwise, it is monotonically decreasing, so it is concluded that the curve change rate is at its maximum when X = -c.

By calculating the definite integral, we can find the value of para S (the area enclosed by the points A, B, E, and O):

Where m=Xa, n=Xb, substituting Xa=0 & Xb=-c into the formula above, we get formula as below:

Let’s take the x-coordinate of point A is Xa, so where at point A we have formula:

From equations ① and ② above, we can figure out:

From f(0)=t, we can figure out:

In summary, the equation relationships between a, b, c, S, R, and t are as follows:

2.2.2 Practical smart contracts to ensure multi-party Incentives

- Tax Pool Through the tax system, users can be encouraged to hold and trade tokens, and provide funding support for the development of the token ecosystem. At the same time, it can also maintain price stability to a certain extent, avoid inflation incentives, and achieve deflation incentives by levying a 3.3% tax on each transaction, of which 1.3% is burned, 1% is rewarded for staking, and 1% is used for a lucky pool.

Contract Conducting Principle: This is achieved by monitoring the transfer function. Specifically, when a user wants to transfer tokens from their account to another account, they call the transfer function in the smart contract of the token. During this process, the contract tax mechanism first checks the token quantity involved in the transfer operation and the target address of the transfer, and calculates the tax amount to be collected. Then, the smart contract transfers the token amount minus the tax to the target address and transfers the tax amount to the designated account of the contract or burns it.

- Lucky Pool With every purchase transaction, there is a chance to receive an airdrop from the Lucky Pool, which goes directly into the wallet account.

With each of your trading volume over 0.1 ETH, traders’ address will be added to the special candidate lists to get tickets of this round of lucky pool. As more active traders on Endgame platform, each trading over 0.1 ETH counts for 0.1% lucky drawn ratios added to this round of raffle.For each round of raffle, lucky raffles happened when reaching specific ratios which are different and randomly picked by smart contracts, which means sometimes it happens when the ratios reaching to 80% , sometimes maybe 5%,There will be only one lucky winners for each round of lucky drawn, and the drop rate of this round of raffle will be automatically reset.

Working principle is here. Mainly consists of two smart contract functions, _purchase and _airdrop. They are both internal functions and can only be called within the contract. Below is a line-by-line explanation of these two functions:

• _purchase function:

1. Define a Purchase type memory variable called p. The Purchase struct contains the user address (user), the block number at the time of purchase (commit), and the randomness (randomness).

2. Initialize the value of p variable, assign the user parameter to p.user, assign the current block number to p.commit, and set p.randomness to 0.

3. Push the p variable into the purchases dynamic array and obtain the index value id of the new element (subtract 1 from the index value because array indices start at 0).

4. Trigger the KeysPurchased event, passing the parameters id, user, and packCount.

• _airdrop function:

  1. Use the id parameter to get a reference to the Purchase struct in the purchases array.

  2. Use the require function to ensure that p.randomness is 0. This is to ensure that this function can only run once.

  3. Use the require function to ensure that the current block number minus 256 is less than the block number at the time of purchase (p.commit). This is to ensure that the block hash is still available when processing the random number.

  4. Use the require function to ensure that the current block number (block.number) is not equal to the block number at the time of purchase (p.commit). This is to prevent running this function in the current block.

  5. Use the require function to ensure that p.user is equal to the message sender (msg.sender). This is to protect that users can only run their own airdrop function.

  6. Get the block hash value at the time of purchase (bhash).

  7. Use the keccak256 hash function and abi.encodePacked function to encode and hash the block hash value, user address, and id. Convert the hash value to an unsigned integer type as the seed (seed).

  8. Assign the seed value (seed) to p.randomness.

  9. Calculate the remainder of the seed value: (seed - ((seed / 1000) * 1000)).

  10. Compare the remainder with the airDropTracker_ variable. If the remainder is less than airDropTracker_, return true, indicating that the airdrop condition is met; otherwise, return false, indicating that the airdrop condition is not met.

  In summary, the _purchase function is used to record user purchase information, including the user address, the block number at the time of purchase, and the unset random number. The _airdrop function is used to process airdrops and determine whether the airdrop conditions are met based on the calculated random seed.

  It is important to note that the randomness of the random seed is a security aspect that needs special attention in actual applications, as it is crucial for ensuring fairness.

2.2.3 RFV Rebalance: Based on the FloorToken · Refer to document: https://floor.traderjoexyz.com/how-it-works, in $HODOR tokenomics, we will take 70% of the bilateral liquidity to construct the floor bins, 9% for the anchor bin to automatically provide liquidity, and 21% for developer incentives. · When the active bin equals the floor bin, 30% will be burned, 30% goes to the treasury to incentivize holders, and 40% is used for the lucky pool to encourage more purchases away from the floor price. ·

2.2.4 Auto-LP · One situation that needs to be considered is that when the BIN deployed by the LBP is completely purchased, it will be necessary to guide the market to create its own liquidity. In this case, the increase in the floor price can only be achieved through tax incentives to build Auto-LP. · At this time, the lucky prize pool fees in the tax collection can be adjusted to create liquidity incentives. Of course, there is no need to consider this for the large capital pools with infinite BIN distribution.

3. Conclusion

In summary, we have constructed a self-market-making token that utilizes liquidity book and transfer hook to automatically increase buy walls and achieve upward spiraling. The self-marketmaking of Liquidity Book rebalancing is a mechanism that is about to set off a new wave, and more complex on-chain market-making strategies will be discovered. It can be used to launch substitutable, non-substitutable tokens, or semi-homogenous tokens without a liquid market. This article merely outlines a suitable strategy for the current situation, but we believe that more bonding curve designs will be derived for different scenarios, as transparent automatic market-making by smart contracts is more in line with the crypto-native philosophy compared to centralized market makers.

We hope this article can help more early-stage project teams and investment research teams eager to explore early alpha, and we welcome more community partners to join us in discussing more interesting scenarios based on RFV bottom warehouse algorithm stablecoins, uHordor collateral lending, and leasing.

In the actual construction of the business, we also found that TraderJoe can make the following iterations to promote more innovative mechanisms: ◦ Support liquidity addition and removal based on tax revenue tokens ◦ Customizable Binsteps

Look forward to more brainstorming spark lights and your generous sharing perspectives on this docs to correct some points of views which we may get wrong!

• Step3: Head to the Trade page on the platform: （The Trade panel will be featured on the right hand side of the page.）

• Step4: Select the drop down arrows to open up the Token List.

• Step5: Search for $HODOR by simply typing in HODOR or enter the contract ID

• Step6: Enter the amount you would like to Trade

• Step7: Press Swap & follow instruction steps with your connected wallet app

• Step8: Done!

• Notes：How to Trade Tokens: Instructional Video

  

• Tips: Increasing Slippage to Trade

• Some tokens may have a 'Reflect' element to them or there may be volatility in the market, resulting in rapid price moves. In both cases, you may be required to increase your slippage to be able to Trade.

• Click settings and adjust your 'Slippage Tolerance' using the predefined options or enter a custom slippage tolerance.

• Warning: Some Tokens may require a slippage set of 10% - 15% or even up to 25%. Any Slippage that occurs when you Trade, will be taken off your Trade amount essentially as an extra fee, so always be careful adjusting your Slippage settings.

🌈Events and Regulations

1️⃣ Season 1 To join the airdrop event, simply enter the official website: https://endgame.lol/airdrop, choose one of the joint activities with any of this platforms like Premint, QuestN, Galxe, Port3, Bitmetis, etc., then complete the tasks on the platform to be eligible for a chance to win the first 10,000 freemint WL spots for Season 1(and your first-time spending gas fees will be covered by EndgamerDAO), minting will follow the First ComeFirst Serve(FCFS) order on airdrop page on our website. ✍🏻 Noted: As more participants will win WL spots during season 1, however if you didn’t capture the chances to mint since for the FCFS rules, your available WL spots will be transfromed into auction points (still can be used in Season2) , according to your XP & levels on Zealy platform (transform algorithm referred to the worksheet as follows). But if you have successfully applied to the WL spots and succeed in free minting with one Endgame Blind Box in Season 1 (by the first week), then your auction points of Zealy Platform’s part will not be counted untill next week.

2️⃣ Season 2 In Season 2, we will apply Variable Rate Gradual Dutch Auctions (VRGDA) to gradually release. It requires members to gain amount of “Auction points”(rules below) to reach specific condition to join blind box minting. ✍🏻 Noted: after opening the blind boxes, some of lucky persons will win a special item “Key” to open genesis treasure boxes (in Season 3) to win abundant huge rewards.

3️⃣ Season 3 To participate in Season 3, it requires the participants to actively participate in the three-week alpha testing event to obtain genesis treasure box coupons which can be used to participate in the Genesis Box Variable Rate Gradual Dutch Auction. You will get chances of receiving limited edition Genesis Heroes & Genesis Pets from genesis treasure boxes. ✍🏻 Remember : Only holding the genesis treasure box coupons obtained from participating in the three-week alpha testing event, you can be take part in the Season 3 Genesis Box auction. Don't hesitate to join the alpha testing events!

🤔 What is the auction point？ 🎩Use case:During periods of Season 2 , It requires all of members to gain specific amount of “Auction Points”(Rules below) to reach a specific benchmark to join the blind box minting.

💭 How to check my auction point？ Your current individual auction points dashboard will be live on the airdrop campaign page. Keep attention on our social medias channel and the website of Airdrop Page!

✴️ In Season 2, Three key factors contribure to your own Auction Points: - Growth XP:Growth XP is recorded by Zealy Platform, you can gain growth XP through completing tasks on Zealy platform.

-Arb’s Loyalty Score: According to most newly updated snapshot. When your hodling $ARB token quantity equals to the initial airdrop quantity you have received from ArbitrumDAO, Your Arb’s loyalty score equals to your holding $Arb token quantity multiplied by 1.1, if the captured amount is less than your initial receiving airdrop quantity, then it will be multiplied by 0.6. Otherwise, it will multiplied by the number of 1.15–1.5 (Detailed rules below)

-Invite your friends: You will will receive extra 10% auction points through inviting your friends to join the campaigns. eg. Bob invited his friends Emily，when Emily has succeeded in claiming her accumulated 1000 auction points, at this time, Bob will receive 100 auction points.

💪How to gain more auction points in campaign periods? 👾No.1 Gain growth XP by contributing to EndgamerDAO discord community After completing tasks and joining community, you will enter https://zealy.io/c/endgamerdao to finish tasks and receive growth rewards. At the same time, “XP” accumulated through Zealy platform that can be transformed for auction points here. During Season 2, the XP will be refreshed once per week according to Zealy platform.

Notes: Team Tax Incentives can be referred to below mentioned in the tokenomics of Endgame, when the LP pool settled, all of our share holders will be there checking the sharing from team’s tax incentives: https://endgamerdao.gitbook.io/endgame-docs-v1.0/tokenomics/token

👾No.2 Check your Arb’s Loyalty Score The snapshot will be taken at a random time within a 72-hour period. We can calculate a weighted sum of various factors to determine Arb’s Loyalty Score based on their holdings and past periods.

You might wonder how to calculate each of partcipants’ Arb’s Loyalty Score. There are three situations of holding $ARB after the airdrop: (when compared to momenet of individual received $Arb token of ArbitrumDAO officail airdrops)

1. Hodl $ARB token quantity < Initial Airdrop quantity, which means Member-A sold parts of $ARB. Loyalty Score = Holding $Arb token quantity multiplied by 0.6

2. Hodl $ARB token quantity = Initial Airdrop quantity, which means Member-B kept exactly the same amount $ARB tokens. Loyalty Score = Holding $Arb token quantity multiplied by 1.1

3. Hodl $ARB token quantity > Initial Airdrop quantity. EndgamerDAO really admires those true believers and hodlers and will give extra rewards for these brave hearts. Loyalty socres calculated as sheet below.

👾No.3 Invite your frenz here to join us and have fun! It requires your frenz to complete claiming the points successfully You will receive an extra 10% bonus points of your already claimed auction points. Notes: During Season 2, The number of your inviting frenz will be real-time refreshed by snapshot.

🙋‍♀️Endgame FAQ Q1: Please clarify how do you select 10,000 whitelisted winners to mint NFT? By random or by FCFS, or by rank basis? Are there any fees in minting NFTs or gas fees? Where we annnounced the winner list?

Answer: It will be a totoally free mint procedures for the first 10000 minters. (Season1 will be in gas-free model, your first spending gas fees will be covered by EndgamerDAO) Only the first 10,000 people who complete the task will be given a WL. Zealy will be FCFS and other platforms will be random, and you can maximize your free mint by joining all of them.Only the gas fee need to be paid by users.

Q2: How many Zealy airdrop winners will there be and what is the reward?

Answer: Most users to be given a whitelist will be through Zealy as it is FCFS basis whereas other platforms such as TaskOn and Premint only have limited whitelist giveaways through raffle.

Q3: What is meant by “Season 2 after 10,000 are all freemints?” Does it mean that there will be two seasons for the freemint and 20,000 people will be able to mint the NFTs? Also, which Blockchain are the NFTs minted on? ETH, BSC, MATIC or any other chain?

Answer: The NFTs are minted on Arbitrum. There are a total of three seasons, all of which are free mint and layers only need to pay the gas fee. Season 1 is free mint for whitelisted addresses, Season 2 is for $ARB airdrop winners issued with auction points for blind box NFTs, and use points to auction blind boxes, and Season 3 is for users who participate on our game test.

Q4: Do you guarantee the airdrop distribution on time and fairly?

Answer: If you are referring to our on-chain tokens or NFTs giveaways, it will be distributed only once winner submit his address within 24 hours and winner will be picked by the bot randomly. Of course, what we need are real users, and the promised rewards are executed by the smart contract which randomly generate number applying Chainlink VRF mechanisms, to ensure of generating list of winners in a provably-fair and verifiable randomness processing with tamper-proof randomness that cannot be manipulated by any user, node operator, or malicious actor.

Q5: What is Endgame?

Answer: Endgame is a community-governed crypto gaming market on permissionless and trustless ERC1155 CLMM protocol powered by Arbitrum.

Q6: What can ERC1155 do and what’s the advantages of ERC1155 compare to ERC20 or ERC721?

Answer: To better help us distinguish and understand what ERC1155 can do, we will use real-life examples to illustrate our point

• ERC20: represents money, points, stocks and so on.

• ERC721: represents profile pics, paintings, or other forms of arts that are unique and irreplaceable.

• ERC1155: represents in-game items, membership cards, or other real world goods as well as financial instruments, and so on. In the past we can trace the production and shipping process of every product by using the batch number and SKU. Likewise, ERC1155 will use the same technique.

• ERC1155 supports mass production and mass transfer, which reduces the time and cost of trading (such as iPhone production). ERC1155 supports multiple assets within a single contract, which leads to management and multi-item-operating efficiency (such as the SKU system for iPhone 12, 13, 14 production). ERC1155 supports metadata and URI, which provide detailed info and description of each asset, increase the expansibility and interoperability (such as the batch number for iPhone production) ERC1155 supports atomic transactions, to ensure multiple assets transfer or exchange at the same time, which avoids the risk of transaction mismatching. (Take iPhone for example again: Alice bought 1,000 iPhone on Amazon, however there were only 500 left in local storage, it takes 3 days to get the rest of the supplies. Meanwhile, there were 600 iPhones in the local Walmart store. If Alice were to utilize the blockchain and ERC1155 to use cross-system and cross-ecology to flexibly allocate the storage, it would be a win-win solution!) Stay tuned and get more first-hand information! 👇 👉Twitter: https://twitter.com/EndgamerDAO 👉Discord: https://discord.com/invite/endgamerdao 👉Website: https://endgame.lol/ 👉Gitbook: https://endgamerdao.gitbook.io/endgame-docs-v1.0/introduction/endgame