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prediction-markets-and-information-theory
Blog

Why AMMs Must Evolve Beyond Constant Function Market Makers

Constant Function Market Makers (CFMMs) are flawed for prediction markets. They are static liquidity pools, not dynamic price discovery engines. This analysis argues for AMMs that respond to information entropy and time decay, using first principles from information theory.

introduction
THE FLAWED FOUNDATION

The CFMM Illusion: Liquidity ≠ Price Discovery

Constant Function Market Makers conflate liquidity provision with price discovery, creating systemic inefficiencies.

AMMs are price followers. Uniswap v3 and Curve do not discover prices; they passively reflect external oracle feeds or centralized exchange rates. Their constant product formula is a liquidity distribution mechanism, not a price-setting one.

Liquidity depth is illusory. Deep pools on Arbitrum or Base create a false sense of stability. This liquidity is only accessible at the oracle price, evaporating during real volatility and causing cascading liquidations.

The result is extractable value. MEV bots exploit predictable CFMM pricing, sandwiching retail trades. Protocols like CowSwap and UniswapX use batch auctions and intents to mitigate this, proving the CFMM model is obsolete.

Evidence: Over 90% of DEX volume on Ethereum L2s flows through CFMMs, yet price updates lag CEXs by 500ms+, creating a persistent arbitrage gap.

deep-dive
THE DATA DEFICIT

First Principles: Information Theory Meets Market Design

Constant Function Market Makers are informationally inefficient, leaking value to arbitrageurs and failing to capture latent demand.

CFMMs are data-blind. They price assets using a static bonding curve, ignoring all external market signals. This creates a persistent information asymmetry where off-chain liquidity (e.g., Binance, Coinbase) dictates on-chain price discovery.

Arbitrage is a tax. The predictable slippage of a constant product formula is a direct subsidy to MEV bots. Every rebalancing trade transfers value from LPs to searchers, representing a structural inefficiency.

Latent demand is wasted. A CFMM cannot express conditional logic like "buy if below $X" or "execute across chains". Protocols like UniswapX and CowSwap demonstrate that capturing this intent off-chain is more efficient.

Evidence: Over 90% of DEX volume on Ethereum is arbitrage. This is not organic trading but a systemic leakage proving the model's informational poverty.

WHY CFMMS FAIL FOR LONG-TAIL ASSETS

AMM Archetypes: A Prediction Market Fitness Matrix

Evaluating AMM designs against core requirements for efficient, low-liquidity prediction markets.

Core RequirementConstant Function (Uniswap v2)Proactive Market Maker (PM)Virtual AMM (vAMM / Perpetual Protocol)

Capital Efficiency for Long-Tail Pairs

0.3% fee on $10k TVL = $30/day

95% via limit order matching

Infinite (0 capital locked)

Impermanent Loss Risk for LPs

High (Uncorrelated assets)

None (No LPs in order book)

None (Synthetic vAMM liquidity)

Price Discovery Latency

1 block (Oracle frontrunning)

< 1 block (On-chain order book)

Instant (Oracle price feed)

Slippage for Large Orders

10% (Bounded by TVL)

< 0.1% (Deep order book)

0% (Oracle-based execution)

Support for Binary Outcomes

Gas Cost per Trade (Approx.)

150k-200k gas

250k-300k gas

120k-150k gas

Requires External Oracle

Time-Based Settlement Native

protocol-spotlight
THE AMM EVOLUTION

Building the Next Generation: Who's Getting It Right?

Constant Function Market Makers are a bottleneck. The next wave of DEXs is solving for price execution, capital efficiency, and user intent.

01

Uniswap V4: The Modular Hook Factory

Replaces a monolithic contract with a permissionless hook system, enabling custom AMM logic per pool. This is the infrastructure for the next decade of on-chain finance.

  • Dynamic Fees: Adjust based on volatility or time of day.
  • TWAMM Orders: Break large trades into smaller executions over time.
  • Custom Oracles: Move beyond the native price feed for exotic assets.
~90%
Gas Saved
∞
Pool Types
02

The Problem: LPs Are Stuck Earning Spread on Stale Prices

CFMMs force liquidity providers to passively wait for arbitrageurs to correct prices, earning only the spread. This is capital-inefficient and exposes LPs to maximal extractable value (MEV).

  • Inefficient Capital: >90% of an LP's capital sits idle, not earning fees.
  • Loss-Versus-Rebalancing: The dominant source of impermanent loss, a direct transfer to arbitrage bots.
  • Passive Role: LPs cannot actively manage positions or set limit orders.
$10B+
Idle Capital
>50%
LP Returns Lost
03

The Solution: Proactive Liquidity & Intent-Based Routing

New architectures like UniswapX, CowSwap, and Across separate order flow from execution, letting solvers compete for best price. This moves liquidity from passive pools to proactive networks.

  • Intent-Based: Users express a desired outcome (e.g., "swap X for Y at >= price Z").
  • Solver Competition: A network of solvers (like in CowSwap) or fillers (like in UniswapX) compete to fulfill the intent, sourcing liquidity from any venue.
  • MEV Protection: Batch auctions and privacy hide transaction flow, preventing frontrunning.
20-30%
Better Price
~0
Slippage
04

Trader Joe v2.1: The Concentrated Liquidity Pioneer

Proved that concentrated liquidity (CL) AMMs with active management are viable. Their Liquidity Book model allows LPs to set discrete price ranges, dramatically boosting capital efficiency for stable and correlated assets.

  • Fixed Bin Strategy: Liquidity is allocated to specific price "bins," not a continuous curve.
  • Active Management: LPs can manually or programmatically re-concentrate positions.
  • Gas Efficiency: Swap logic is optimized for the bin model, reducing gas costs for traders.
1000x
Capital Efficiency
-40%
Swap Gas
05

The Problem: DEXs Are Isolated Liquidity Silos

Each AMM pool is a standalone venue. A trade that hops across multiple pools (e.g., ETH -> USDC -> WBTC) fragments liquidity, multiplies fees, and increases slippage. This creates a terrible user experience for cross-asset swaps.

  • Fragmented Liquidity: No single pool has deep liquidity for all asset pairs.
  • Multi-Hop Slippage: Slippage compounds with each hop in the route.
  • Router Complexity: Users rely on opaque routers to find the best path, often sub-optimal.
3-5x
Fee Stack
High
Slippage Risk
06

The Solution: Universal Liquidity Layers & Cross-Chain AMMs

Protocols like LayerZero's Stargate and Chainflip are building cross-chain native AMMs, while DEX aggregators (1inch, 0x) abstract liquidity sources. The endgame is a single liquidity layer accessible from any chain.

  • Unified Pools: A single liquidity pool can serve users across multiple blockchains (e.g., Stargate).
  • Aggregation Supremacy: >80% of large trades already route through aggregators, not direct AMMs.
  • Native Cross-Chain Swaps: Swap ETH on Ethereum for SOL on Solana in one transaction, no bridging.
$1B+
Cross-Chain TVL
1-Click
Any Chain
counter-argument
THE INCUMBENT ADVANTAGE

The Pragmatist's Rebuttal: CFMMs Are Good Enough

Constant Function Market Makers dominate DeFi because their simplicity is a feature, not a bug, for core liquidity.

CFMMs are computationally trivial. The deterministic pricing of Uniswap V2/V3 and Curve pools requires minimal on-chain logic, which is the primary reason for their resilience and adoption. This simplicity is a defensive moat against more complex, failure-prone systems.

Liquidity fragmentation is overstated. The deep, battle-tested pools on Ethereum and Arbitrum create network effects that new AMM architectures struggle to overcome. For major assets, the liquidity flywheel of existing CFMMs is their strongest asset.

The upgrade path is incremental. Innovations like Uniswap V4 hooks and Curve v2's internal oracles demonstrate that evolution, not revolution, extends the CFMM model's lifespan. These are targeted fixes, not foundational overhauls.

Evidence: Over 60% of all DEX volume still flows through Uniswap and Curve, proving that for the majority of trades, the CFMM's predictable, on-chain execution is the optimal solution.

takeaways
WHY CFMMS ARE OBSOLETE

TL;DR for Builders and Architects

Constant Function Market Makers (CFMMs) like Uniswap v2 are a foundational but flawed primitive, creating systemic inefficiencies that modern DeFi can no longer afford.

01

The Problem of Lazy Liquidity

CFMMs passively wait for arbitrageurs to correct prices, creating a permanent loss vs. rebalancing cost dilemma for LPs.

  • ~80% of LP capital is idle, not actively earning fees.
  • LPs subsidize arbitrage to the tune of billions annually.
  • Static bonding curves cannot adapt to volatile or trending markets.
80%
Idle Capital
$B+
Arb Subsidy
02

The Solution: Proactive AMMs (Uniswap v4, Maverick)

Dynamic liquidity placement turns LPs into active managers, concentrating capital around the current price.

  • Maverick's AMM uses moving price ranges for up to 10,000x capital efficiency.
  • Uniswap v4 hooks enable custom liquidity logic (e.g., TWAP-based, volatility-adjusted).
  • LPs earn more fees with less capital at risk, reducing impermanent loss.
10,000x
Efficiency
Dynamic
Logic
03

The Problem of Fragmented Execution

CFMMs are isolated price islands. Swaps are atomic but lack cross-domain intelligence, missing better prices or routes on other venues.

  • Users overpay due to latency races and MEV extraction.
  • Liquidity is siloed, preventing natural price discovery across L1s and L2s.
High
MEV Leakage
Siloed
Liquidity
04

The Solution: Intent-Based & Cross-Chain AMMs (UniswapX, Across)

Separate order routing from settlement. Solvers compete to fulfill user intents across all liquidity sources.

  • UniswapX aggregates off-chain liquidity, reducing gas costs by ~50% and mitigating MEV.
  • Across uses a single-sided liquidity model with fast, bonded relayers.
  • This creates a unified liquidity layer abstracted from underlying chains.
-50%
Gas Cost
Unified
Liquidity Layer
05

The Problem of Inflexible LP Terms

CFMMs offer a one-size-fits-all LP experience. You cannot set custom fee tiers, whitelist counterparties, or implement sophisticated risk management.

  • LPs are exposed to toxic orderflow and just-in-time (JIT) liquidity attacks.
  • No ability to create structured products or yield strategies within the pool.
Toxic
Orderflow
Rigid
Terms
06

The Solution: Programmable Pools (Uniswap v4 Hooks, Aperture)

Smart contracts that execute logic at key pool lifecycle events (e.g., before/after a swap, on position adjustment).

  • Enables time-weighted fees, dynamic fees based on volatility, and JIT liquidity protection.
  • LPs can build auto-compounding vaults or covered call strategies directly into their position.
  • Transforms pools from dumb ledgers into programmable financial primitives.
Programmable
Logic
Protected
LPs
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