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Khana v.0.2: Dynamic bonding curves
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For more info, see Github
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ETH in potPortion of supplyPriceIf user liquidates entire portion, they get (in ETH):% growth in price from previous% of pot
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1000.00%00
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0.50%0.0046430890540.23215445270.23%
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Token supply1.00%0.0049763396320.49763396327.18%0.50%
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100002.00%0.0053335087581.0667017527.18%1.07%
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3.00%0.0055542079851.6662623964.14%1.67%
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4.00%0.0057163131492.286525262.92%2.29%
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5.00%0.0058453027992.9226513992.26%2.92%
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6.00%0.0059528527243.5717116341.84%3.57%
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7.00%0.0060453272734.2317290911.55%4.23%
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8.00%0.0061265927374.9012741891.34%4.90%
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9.00%0.0061991802465.5792622211.18%5.58%
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10.00%0.006264840426.264840421.06%6.26%
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20.00%0.0067144897113.428979427.18%13.43%
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30.00%0.00699233357520.977000724.14%20.98%
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40.00%0.00719641188528.785647542.92%28.79%
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50.00%0.00735880023336.794001172.26%36.79%
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60.00%0.00749419756744.96518541.84%44.97%
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70.00%0.00761061612653.274312881.55%53.27%
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80.00%0.00771292328461.703386271.34%61.70%
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90.00%0.00780430554370.238749891.18%70.24%
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100.00%0.00788696680678.869668061.06%78.87%
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Updated Price = (((Portion of Supply * 10^8)^(1/10)) / 8) * (ETH in Pot / Token Supply)
derivative
d[((x*10^8)^(1/10))/8*k,x]
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Everyone has a different price depending on what portion of the supply they hold
second derivative
d[((x*10^8)^(1/10))/8*k,{x,2}]
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More info on dynamic curves: https://tokeneconomy.co/dynamic-token-bonding-curves-41d36e43befafor precision
Min[d[((x*10^8)^(1/10))/8*5,{x,2}],{x,0.000001,2000}]
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Part 2 blog post coming soon
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Game theoretic outcomes
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- maximise your portion of the supply to liquidate the larger amount of ETH
to do:
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- as you amass more of the supply, the % growth in price becomes slower
- set lower bounds
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- if you hold a low portion of the supply and a whale liquidates, then your portion of the supply will increase, being worth more
- or include Ft/St into (Sp^8)^1/10 ~ new formula
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- HODL as long as you can, as long as you are earning the tokens (and increasing your portion of the supply)
- create new polynomial formula (what conditions for shape of graph, range, rough numbers)
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- new players can always become whales, whales can always exit without killing the community
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- 100% of the pot can never be liquidated (future use for community grants?)
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For reference, v.0.1 spreadsheet here
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Questions
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- (related to Bonded Donations) at what point does it (if ever) become profitable for original donator?
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Old curve (not possible in solidity)
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