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Nothing New under the Sun 
Exploring the parallels between 
Cryptocurrency and Society
Introduction 
● We often like to say Bitcoin is a fundamentally 
new economic paradigm 
● Common theory: 
○ Commodity money 
○ Commodity-backed money 
○ Fiat money 
○ Cryptocurrency (obviously) 
● Self-executing contracts, DACs, Skynet 
● Reality: everything here has existed before
Prisoner’s Dilemma and Nash Equilibria 
● Everyone has two 
moves: cooperate 
or defect 
(left, top) C D 
C 5, 5 0, 7 
D 7, 0 2, 2 
● Generalized prisoner’s dilemma: 
○ N players 
○ Can cooperate (+1, +1) or cheat (+2, -5) 
● Nash equilibrium: everyone defects
Punishment 
● Idea: spend effort to 
to punish defectors 
(-0.5, -5) 
(left, top) C D 
C 5, 5 0, 2 
D 2, 0 -3, -3 
● Seems wasteful, but changes the incentives 
● Problem: what’s the incentive to punish 
● Solution: non-punishment is punishable 
● Tax-funded police, social ostracism
Schelling Points 
● Two prisoners in separate rooms both see: 
59049 71245 80764 92145 
97621 100000 123875 161924 
● If prisoners give same number, they go free, 
otherwise they die
Hawk/Dove Game 
● Everyone has two 
moves: attack or 
retreat 
● Equilibria: 
○ A attacks, B retreats 
○ B attacks, A retreats 
● Bourgeois equilibrium: A/R based on tag 
○ Property rights 
(left, top) A R 
A 0, 0 6, 2 
R 2, 6 4, 4
Coordination problems 
● How to get from (A, A) to 
(B,B)? 
● Example: spelling reform 
(left, top) A B 
A 2, 2 0, 0 
B 0, 0 4, 4 
● Everyone spells English words weirdly (“cough”, “enough”, 
“freight”, “height”): +1 all 
● Reformed spelling (“coff”, “enuff”, “frate”, “hite”): +2 all (eezier 
tu lurn, mor efishent) 
● You reform, others don’t: +0.99 others, +0 you 
● Others reform, you don’t: +1.99 others, +0 you
Revolution 
● No one participates: +1 all 
● Everyone participates: +2 all 
(yay democracy) 
● You participate, others don’t: 
-100 you, +0.99 others 
● Others participate, you don’t: +1.5 you, 1.99 
others (you have lower status in new society)
Revolution 2: Hamlet Edition 
● Norm exists against killing the king and 
usurping the throne 
● If the current king is killed, the norm 
disappears, so everyone will repeatedly try 
to take power 
● Fearing this, no one kills the king 
● Grim trigger equilibrium
Bounded rationality 
● People have a bias toward selecting a 
relatively simple strategy and consistently 
following it 
● Heuristics (eg. guy in suit == this guy got 
business skillz bro) 
● David Friedman on virtue: 
○ http://www.daviddfriedman.com/Libertarian/Virtue1.html
Stones of Rai 
● Small tribe on the island of 
Yap, ~1900 
● Rai Stones used as money 
● Stones never moved, 
ownership changed via collective agreement 
● Ownership very secure 
○ Stone at bottom of ocean 
○ German invasion
Markets as a Punishment System 
● Cooperative strategy: act as if dollar is worth X 
● Defection 1: undervalue dollar 
○ Result: you work too hard and enjoy less products and 
services 
● Defection 2: overvalue dollar 
○ Result: you exhaust money before exploring all 
opportunities 
● Both consequences occur because people 
value a dollar at X
Reputation 
● Doing certain things increases your 
reputation 
● Incentive: trust reputable people more 
○ Predictable pattern of honest behavior 
○ They have “more to lose” 
● Incentive: be more reputable so people trust 
you more 
● Incentives work with any set of rules
Courts 
● Hierarchical system of increasing attention 
● Normally: go about your business 
○ Low attention 
● In case of a dispute: go to court 
○ Medium attention 
● Contested dispute: go to higher and 
eventually Supreme Court 
○ High attention
Courts 2 
● Problem: how to obtain estimate of 
community norms 
● Solution: pick 12 random people to 
adjudicate
Courts 3 
● Incentive to deter crime proportional to 
● Problem: if crime ~= 0, ~= 0, so no 
one would bother catching criminals 
● Result: sorry, no crime-free utopia for you
Blockchains 
● Idea: a blockchain is a distributed database 
with: 
○ a state 
○ a meaning assigned to the state 
○ a state transition rule 
■ APPLY(S, TX) -> S' or INVALID
Blockchains 
● Bitcoin: 
○ S = { acct : balance, … } 
○ Meaning: balance represents currency units 
○ APPLY = { if S[tx.sender] >= tx.val: 
S’[tx.sender] = S[tx.sender] - tx.val 
S’[tx.to] = S[tx.to] + tx.val }
Blockchains 
● Namecoin 
○ S = { domain: owner … } 
○ Meaning = look up website names here 
○ APPLY = { if !S[tx.value]: S[tx.value] = tx.sender } 
● Land registry 
○ S = { (lat, long): owner … } 
○ Meaning = if someone does something at (lat, long) 
without owner’s permission, whack them 
○ APPLY = ?
Blockchains 
● A blockchain is a 
series of blocks, 
each block containing 
a hash of the previous 
● Scoring function 
○ score(genesis) = 0 
○ score(block) = score(block.parent) + PoWdiff(block) 
○ current state = block with highest score
Mining 
● Miners spend computational effort producing 
blocks, get rewarded 25 btc/block 
● Miners have 4 ways to deviate: 
Include an invalid TX giving themselves extra BTC 
Not bother with PoW 
Mine on top of an invalid block that favors them 
Mine on top of a suboptimally scoring block 
● Question: why act honestly?
Mining as Recursive Punishment 
● Idea: if you create an invalid block, other 
miners will not mine on it, because a block 
dependent on an invalid block is an invalid 
block, and miners do not want to produce 
invalid blocks 
● Similar logic for low-scoring blocks
Valuation Equilibria 
● Question: why do users pay attention to the 
top-scoring chain? 
● Answer 1: it’s a Schelling point 
● Answer 2: it is more difficult to attack than 
the top chain along any other metric
Concept: Smart Contracts 
● Regular contract: I agree to give you $300 if 
you perform task X 
● Smart contract: I put $300 into a box, which 
are automatically assigned to you if you do X 
● Verifiability 
○ Pure math (eg. prove a theorem) 
○ Global fact (eg. temperature in San Francisco) 
○ Local fact (eg. did you wash my car?)
Factum Law 
● Decentralised consensus lets us create 
cryptographic systems that control internal 
assets with emergent value 
● This provides a door from the world of 
cryptography into the real world 
● Idea: we can enforce rules without needing 
real-world “enforcement” by using crypto-subsidies
Proof of Work: Takeover Attack 
● Ethereum contract 
○ Any miner can join, sending deposit into contract 
○ To avoid losing deposit, miners must regularly send 
shares to prove their hashpower 
○ Before 60% PoW joins, miners can leave at any time 
○ At 60% PoW, deposit locked until a 20+ block-deep 
fork succeeds 
● Incentive to join: possible reward, no risk 
● Incentive to follow through: deposit
Grim Trigger Argument 
● Fails if miners are fungible, works if miners 
are bound 
● Specialized ASIC-friendly algo: good 
● CPU algo: bad 
○ Unless (1) it’s a monopoly chain or (2) grim trigger 
spreads across chains 
● CPU algo + bonding: good 
○ Another kind of PoS?
Software 
● Altruistic actions in Bitcoin protocol prevalent 
○ eg. responding to getblock messages 
● Not explainable by general altruism 
○ eg. core dev horribly underfunded 
● Correct model: 2 kinds of agents 
○ Software (= heuristics) 
○ Users (download and run software, stick to defaults)
Software 
● Model defaults as friction: 
○ 
○ 
● “One currency to rule them all” may be flawed 
○ | f | > benefit of liquidity
Why not delete the FBI’s Silk Road wallet? 
● Argument 1: grim trigger equilibrium 
● Argument 2: new valuation equilibrium more 
“complex” to calculate 
● Idea: a consensus system is a way of 
creating a complex valuation equilibrium, and 
protecting it with: 
○ Coordination problem 
○ Grim trigger equilibrium 
○ Bounded rationality
Scalability 
● Problem: at 1000000 tx/sec no node can 
process every transaction 
● Solution: split into consensus groups 
● Problem: if split into N groups, attacker can 
take over with 1/N power/stake 
● Solution: if substantial disagreement 
detected, suddenly increase attention
Scalability 
● Solution 2: randomly select consensus 
groups per transaction 
● General problem: who waves the flashlight? 
○ Subsidize via penalty 
○ Privatize (ie. potential victims look out for themselves) 
● Problem: failure rate ends up nonzero 
○ Dependency on altruism
Scalability 
● Solution 2: randomly select consensus 
groups per transaction 
● General problem: who waves the flashlight? 
○ Subsidize via penalty 
○ Privatize (ie. potential victims look out for themselves) 
● Problem: failure rate ends up nonzero 
○ Dependency on altruism
Conclusion 
● Cryptoeconomic protocols are social 
protocols 
● Everything has already done before 
● The main benefits we have are: 
○ Opportunity for computationally complex equilibria 
○ Low-cost communication

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Vitalik Buterin: Cryptoeconomic Protocols In the Context of Wider Society

  • 1. Nothing New under the Sun Exploring the parallels between Cryptocurrency and Society
  • 2. Introduction ● We often like to say Bitcoin is a fundamentally new economic paradigm ● Common theory: ○ Commodity money ○ Commodity-backed money ○ Fiat money ○ Cryptocurrency (obviously) ● Self-executing contracts, DACs, Skynet ● Reality: everything here has existed before
  • 3. Prisoner’s Dilemma and Nash Equilibria ● Everyone has two moves: cooperate or defect (left, top) C D C 5, 5 0, 7 D 7, 0 2, 2 ● Generalized prisoner’s dilemma: ○ N players ○ Can cooperate (+1, +1) or cheat (+2, -5) ● Nash equilibrium: everyone defects
  • 4. Punishment ● Idea: spend effort to to punish defectors (-0.5, -5) (left, top) C D C 5, 5 0, 2 D 2, 0 -3, -3 ● Seems wasteful, but changes the incentives ● Problem: what’s the incentive to punish ● Solution: non-punishment is punishable ● Tax-funded police, social ostracism
  • 5. Schelling Points ● Two prisoners in separate rooms both see: 59049 71245 80764 92145 97621 100000 123875 161924 ● If prisoners give same number, they go free, otherwise they die
  • 6. Hawk/Dove Game ● Everyone has two moves: attack or retreat ● Equilibria: ○ A attacks, B retreats ○ B attacks, A retreats ● Bourgeois equilibrium: A/R based on tag ○ Property rights (left, top) A R A 0, 0 6, 2 R 2, 6 4, 4
  • 7. Coordination problems ● How to get from (A, A) to (B,B)? ● Example: spelling reform (left, top) A B A 2, 2 0, 0 B 0, 0 4, 4 ● Everyone spells English words weirdly (“cough”, “enough”, “freight”, “height”): +1 all ● Reformed spelling (“coff”, “enuff”, “frate”, “hite”): +2 all (eezier tu lurn, mor efishent) ● You reform, others don’t: +0.99 others, +0 you ● Others reform, you don’t: +1.99 others, +0 you
  • 8. Revolution ● No one participates: +1 all ● Everyone participates: +2 all (yay democracy) ● You participate, others don’t: -100 you, +0.99 others ● Others participate, you don’t: +1.5 you, 1.99 others (you have lower status in new society)
  • 9. Revolution 2: Hamlet Edition ● Norm exists against killing the king and usurping the throne ● If the current king is killed, the norm disappears, so everyone will repeatedly try to take power ● Fearing this, no one kills the king ● Grim trigger equilibrium
  • 10. Bounded rationality ● People have a bias toward selecting a relatively simple strategy and consistently following it ● Heuristics (eg. guy in suit == this guy got business skillz bro) ● David Friedman on virtue: ○ http://www.daviddfriedman.com/Libertarian/Virtue1.html
  • 11. Stones of Rai ● Small tribe on the island of Yap, ~1900 ● Rai Stones used as money ● Stones never moved, ownership changed via collective agreement ● Ownership very secure ○ Stone at bottom of ocean ○ German invasion
  • 12. Markets as a Punishment System ● Cooperative strategy: act as if dollar is worth X ● Defection 1: undervalue dollar ○ Result: you work too hard and enjoy less products and services ● Defection 2: overvalue dollar ○ Result: you exhaust money before exploring all opportunities ● Both consequences occur because people value a dollar at X
  • 13. Reputation ● Doing certain things increases your reputation ● Incentive: trust reputable people more ○ Predictable pattern of honest behavior ○ They have “more to lose” ● Incentive: be more reputable so people trust you more ● Incentives work with any set of rules
  • 14. Courts ● Hierarchical system of increasing attention ● Normally: go about your business ○ Low attention ● In case of a dispute: go to court ○ Medium attention ● Contested dispute: go to higher and eventually Supreme Court ○ High attention
  • 15. Courts 2 ● Problem: how to obtain estimate of community norms ● Solution: pick 12 random people to adjudicate
  • 16. Courts 3 ● Incentive to deter crime proportional to ● Problem: if crime ~= 0, ~= 0, so no one would bother catching criminals ● Result: sorry, no crime-free utopia for you
  • 17. Blockchains ● Idea: a blockchain is a distributed database with: ○ a state ○ a meaning assigned to the state ○ a state transition rule ■ APPLY(S, TX) -> S' or INVALID
  • 18. Blockchains ● Bitcoin: ○ S = { acct : balance, … } ○ Meaning: balance represents currency units ○ APPLY = { if S[tx.sender] >= tx.val: S’[tx.sender] = S[tx.sender] - tx.val S’[tx.to] = S[tx.to] + tx.val }
  • 19. Blockchains ● Namecoin ○ S = { domain: owner … } ○ Meaning = look up website names here ○ APPLY = { if !S[tx.value]: S[tx.value] = tx.sender } ● Land registry ○ S = { (lat, long): owner … } ○ Meaning = if someone does something at (lat, long) without owner’s permission, whack them ○ APPLY = ?
  • 20. Blockchains ● A blockchain is a series of blocks, each block containing a hash of the previous ● Scoring function ○ score(genesis) = 0 ○ score(block) = score(block.parent) + PoWdiff(block) ○ current state = block with highest score
  • 21. Mining ● Miners spend computational effort producing blocks, get rewarded 25 btc/block ● Miners have 4 ways to deviate: Include an invalid TX giving themselves extra BTC Not bother with PoW Mine on top of an invalid block that favors them Mine on top of a suboptimally scoring block ● Question: why act honestly?
  • 22. Mining as Recursive Punishment ● Idea: if you create an invalid block, other miners will not mine on it, because a block dependent on an invalid block is an invalid block, and miners do not want to produce invalid blocks ● Similar logic for low-scoring blocks
  • 23. Valuation Equilibria ● Question: why do users pay attention to the top-scoring chain? ● Answer 1: it’s a Schelling point ● Answer 2: it is more difficult to attack than the top chain along any other metric
  • 24. Concept: Smart Contracts ● Regular contract: I agree to give you $300 if you perform task X ● Smart contract: I put $300 into a box, which are automatically assigned to you if you do X ● Verifiability ○ Pure math (eg. prove a theorem) ○ Global fact (eg. temperature in San Francisco) ○ Local fact (eg. did you wash my car?)
  • 25. Factum Law ● Decentralised consensus lets us create cryptographic systems that control internal assets with emergent value ● This provides a door from the world of cryptography into the real world ● Idea: we can enforce rules without needing real-world “enforcement” by using crypto-subsidies
  • 26. Proof of Work: Takeover Attack ● Ethereum contract ○ Any miner can join, sending deposit into contract ○ To avoid losing deposit, miners must regularly send shares to prove their hashpower ○ Before 60% PoW joins, miners can leave at any time ○ At 60% PoW, deposit locked until a 20+ block-deep fork succeeds ● Incentive to join: possible reward, no risk ● Incentive to follow through: deposit
  • 27. Grim Trigger Argument ● Fails if miners are fungible, works if miners are bound ● Specialized ASIC-friendly algo: good ● CPU algo: bad ○ Unless (1) it’s a monopoly chain or (2) grim trigger spreads across chains ● CPU algo + bonding: good ○ Another kind of PoS?
  • 28. Software ● Altruistic actions in Bitcoin protocol prevalent ○ eg. responding to getblock messages ● Not explainable by general altruism ○ eg. core dev horribly underfunded ● Correct model: 2 kinds of agents ○ Software (= heuristics) ○ Users (download and run software, stick to defaults)
  • 29. Software ● Model defaults as friction: ○ ○ ● “One currency to rule them all” may be flawed ○ | f | > benefit of liquidity
  • 30. Why not delete the FBI’s Silk Road wallet? ● Argument 1: grim trigger equilibrium ● Argument 2: new valuation equilibrium more “complex” to calculate ● Idea: a consensus system is a way of creating a complex valuation equilibrium, and protecting it with: ○ Coordination problem ○ Grim trigger equilibrium ○ Bounded rationality
  • 31. Scalability ● Problem: at 1000000 tx/sec no node can process every transaction ● Solution: split into consensus groups ● Problem: if split into N groups, attacker can take over with 1/N power/stake ● Solution: if substantial disagreement detected, suddenly increase attention
  • 32. Scalability ● Solution 2: randomly select consensus groups per transaction ● General problem: who waves the flashlight? ○ Subsidize via penalty ○ Privatize (ie. potential victims look out for themselves) ● Problem: failure rate ends up nonzero ○ Dependency on altruism
  • 33. Scalability ● Solution 2: randomly select consensus groups per transaction ● General problem: who waves the flashlight? ○ Subsidize via penalty ○ Privatize (ie. potential victims look out for themselves) ● Problem: failure rate ends up nonzero ○ Dependency on altruism
  • 34. Conclusion ● Cryptoeconomic protocols are social protocols ● Everything has already done before ● The main benefits we have are: ○ Opportunity for computationally complex equilibria ○ Low-cost communication