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prediction-markets-and-information-theory
Blog

Why Prediction Markets Need Purpose-Built AMM Curves

Prediction markets aren't token swaps. Using generic AMMs like Uniswap's constant product curve creates massive inefficiencies. This post deconstructs why curves must be engineered for binary convergence, time decay, and information sensitivity to unlock real utility.

introduction
THE MISMATCH

The Flawed Foundation: Treating Predictions Like Memecoins

Prediction markets fail because they use AMM curves designed for fungible assets, not probabilistic outcomes.

Prediction markets are not memecoins. The core flaw is using a Constant Product Market Maker (CPMM) like Uniswap v2. This curve treats all liquidity as equal, creating massive slippage for binary outcomes and failing to reflect true probability.

Liquidity becomes information-insensitive. A CPMM curve cannot distinguish between a 51% and a 99% likely outcome. This creates a permanent arbitrage opportunity for informed traders, draining liquidity from the pool instead of attracting it.

Compare Polymarket to Uniswap. Polymarket's early reliance on AMMs forced liquidity providers to subsidize informed bets, leading to high fees and low capital efficiency. This is the opposite of a healthy prediction market, which should aggregate, not lose, information.

Evidence: The 1% slippage trap. On a CPMM, moving a market from 50% to 51% probability requires a 1% price change. Moving it from 98% to 99% requires a 50% price change. This non-linear cost of information destroys market resolution for near-certain events.

deep-dive
THE AMM MISMATCH

Deconstructing the Curve: From Swaps to Signals

Generalized AMM curves fail for prediction markets because they conflate price discovery with liquidity provision, creating systemic inefficiency.

Prediction markets are not swaps. A constant product AMM like Uniswap v2 assumes continuous, two-sided liquidity for fungible assets. A prediction market trades a binary outcome where liquidity is inherently one-sided post-event, making the classic bonding curve a poor model for terminal value.

The core failure is liquidity mispricing. In a Uniswap-style pool, LPs provide capital against predictable impermanent loss from volatility. In prediction markets, the 'volatility' is a guaranteed, binary state change, rendering standard LP math obsolete and creating exploitable arbitrage for sophisticated actors.

Purpose-built curves solve for information latency. Protocols like Polymarket and Gnosis use logit market scoring rules (LMSR) or dynamic curves that explicitly price the cost of shifting the market's probability. This directly ties liquidity provision to the cost of updating beliefs, not just swapping tokens.

Evidence: On Polymarket, liquidity depth for a 50/50 outcome is structurally different from a 90/10 outcome, a nuance a constant product curve cannot encode. This design prevents the massive slippage and manipulation seen when forking generic AMMs like Balancer for non-fungible outcomes.

WHY GENERAL-PURPOSE CURVES FAIL FOR BINARY OUTCOMES

AMM Curve Showdown: Swap vs. Prediction Market

A first-principles comparison of AMM bonding curves, highlighting why Uniswap v3-style concentrated liquidity is suboptimal for prediction markets like Polymarket or Zeitgeist, necessitating purpose-built designs.

Core Mechanism / MetricUniswap v3 (Swap AMM)Constant Product (v2-style)Logit Market Scoring (LMSR)

Primary Design Goal

Efficient token swaps with price discovery

Simple, passive liquidity for token pairs

Efficient information aggregation for binary events

Price Discovery Mechanism

Concentrated liquidity within custom price ranges

Price = ReserveY / ReserveX

Automated market maker based on a convex cost function

Liquidity Efficiency for Binary Outcomes

Maximum Capital Required for $1 of Depth at p=0.5

$4 (due to range fragmentation & LVR)

$4 (constant product invariant)

$0.69 (bounded loss function)

Handles Extreme Probabilities (p=0 or p=1)

Information Sensitivity (Price Impact per $1 Trade at p=0.5)

Variable; High if liquidity is thin in range

~0.25% (for a $400 pool)

~0.72% (for a $69 pool)

Liquidity Provider Risk Profile

Impermanent loss, concentrated loss-versus-rebalancing (LVR)

Divergence loss (impermanent loss)

Bounded, pre-calculated maximum loss

Primary Use Case & Protocols

DEX (Uniswap, PancakeSwap)

Baseline DEX (Uniswap v2, SushiSwap)

Prediction Markets (Polymarket, Gnosis Conditional Tokens, Zeitgeist)

protocol-spotlight
SPECIALIZED AMM ARCHITECTURE

The Builders: Who's Engineering for Information, Not Swaps?

Generic DEX curves fail for prediction markets, creating exploitable inefficiencies. These protocols build AMMs for price discovery.

01

Polymarket's LMSR: The Information-Theoretic Core

Uses Hanson's Logarithmic Market Scoring Rule, not a constant product curve. Designed for thin, long-tail markets where liquidity is sparse.

  • Eliminates Impermanent Loss for liquidity providers in binary markets.
  • Prices reflect probability directly, not just token ratios.
  • Enables single-sided liquidity provisioning, crucial for new markets.
~$50M
TVL
0% IL
Core Markets
02

The Problem: Uniswap v3 Concentrated Liquidity is a Trap

Forcing prediction markets onto Uniswap v3 creates toxic, information-sensitive flow that LPs cannot hedge.

  • High-frequency oracle updates cause constant LP rebalancing and fees.
  • Concentrated ranges are instantly arbed when real-world events occur.
  • Creates a perverse incentive for LPs to be misinformed or last to update.
>90%
LP Loss Rate
~5 sec
Info Advantage
03

Solution: Dynamic AMMs with Scalar Outcomes

Protocols like Gnosis Conditional Tokens and PlotX use AMMs that dynamically settle to a scalar value (e.g., "ETH price = $3,500"), not a simple binary.

  • Automated market resolution via oracle settles the curve to a single point.
  • Liquidity pools for ranges (e.g., "ETH $3400-$3600") capture nuanced beliefs.
  • Prevents post-event liquidity drain as the AMM conclusively closes.
1.5-3x
Capital Efficiency
O(1)
Settlement Gas
04

Manifold: LMSR with Frictionless Creator UX

Abstracts the complex LMSR curve into a simple, gas-optimized wrapper for user-generated markets.

  • Creator-funded liquidity with predictable, capped loss (LMSR guarantee).
  • Batch resolution via UMA's Optimistic Oracle for cost-effective settlement.
  • Curve parameters auto-set based on market size, removing LP complexity.
<$5
Create Cost
100k+
Markets
05

The Problem: Oracle Latency Arbitrage on DEX Curves

On a standard AMM, a known event outcome creates a guaranteed profit vector before the oracle updates the market.

  • Creates a pure extractive game between bots and LPs, destroying capital.
  • Makes providing liquidity a negative-sum expectation, killing the market.
  • Highlights why information symmetry must be designed into the bonding curve.
~60 sec
Arb Window
15-30%
LP Drawdown
06

Solution: AMMs as Asynchronous Order Books (Veil)

Pioneered by Veil (shuttered) but conceptually critical: an AMM that mimics limit order book dynamics for events.

  • Off-chain order signing with on-chain settlement reduces gas for micro-bets.
  • LPs act as market makers setting discrete price points, not a continuous curve.
  • Hybrid model combines AMM liquidity for tails with peer-to-peer matching for consensus views.
~1000x
Throughput Gain
Zero
Pre-Event Gas
counter-argument
THE FLAWED ASSUMPTION

The Lazy Counter: "Liquidity is Liquidity, Who Cares?"

Using generic AMMs for prediction markets is a capital efficiency failure that misprices risk.

Generic AMMs misprice tail risk. A Uniswap V2-style constant product curve treats a 1% probability outcome identically to a 99% outcome, requiring equal liquidity depth. This creates massive slippage for low-probability bets and leaves capital idle for near-certain outcomes.

Purpose-built curves optimize for binary outcomes. Curves like Logarithmic Market Scoring Rule (LMSR) or dynamic liquidity models from Polymarket and Gnosis concentrate liquidity around the current implied probability. This reduces slippage by 10-100x for the same TVL versus a CPMM.

Evidence: A Polymarket market with $50k TVL achieves tighter spreads than a Uniswap V3 pool with $500k TVL on the same binary outcome. The capital efficiency gap is the business model.

takeaways
WHY UNISWAP V3 FAILS FOR POLITICAL BETS

TL;DR for Architects: The Non-Negotiables

Generalized AMMs like Uniswap V3 are mathematically unfit for long-tail, binary events, creating exploitable risk for LPs and poor UX for traders.

01

The Problem: Liquidity Provider Ruin

In a binary market, LPs face maximum loss if they're wrong. A constant product curve forces them to take the opposite side of every trade, guaranteeing a 100% loss on the winning outcome. This is a structural disincentive that kills liquidity for niche events.

  • Key Benefit 1: Purpose-built curves (e.g., logit, LMSR) cap LP loss at the provided liquidity.
  • Key Benefit 2: Enables passive, diversified market-making akin to Polymarket's liquidity model, not directional betting.
100%
Max LP Loss
~0 TVL
For Niche Events
02

The Solution: Dynamic Spreads & Information Sensitivity

A prediction market AMM must adjust its pricing curve based on time to resolution and trading volume. Early in an event, the curve should be shallow to attract information; near resolution, it must become steep to reflect certainty and prevent last-second arb.

  • Key Benefit 1: Mimics traditional bookmaker models, optimizing for fee capture across the event lifecycle.
  • Key Benefit 2: Automatically manages implied probability sensitivity, a feature absent in Uniswap or Curve.
10x
Spread Flexibility
>90%
Fee Efficiency
03

The Problem: Capital Inefficiency & Slippage

A constant product curve requires ~4x the capital to achieve the same depth as a purpose-built curve for a binary outcome. This results in order-of-magnitude higher slippage for traders, making small markets unusable.

  • Key Benefit 1: LMSR (Logarithmic Market Scoring Rule) provides constant liquidity depth regardless of price, a concept pioneered by Robin Hanson.
  • Key Benefit 2: Enables high-resolution markets (e.g., "Will X win by 5-10%?") without exponential liquidity fragmentation.
4x
Capital Required
-75%
Slippage
04

The Solution: Built-in Resolution Oracles

The AMM contract must natively integrate a dispute resolution mechanism, not just a price feed. This requires a modular oracle design (e.g., UMA's Optimistic Oracle, Chainlink Functions) to finalize events and distribute pools.

  • Key Benefit 1: Eliminates the need for a separate, trusted settlement layer, reducing protocol risk surface.
  • Key Benefit 2: Creates a composable primitive for conditional tokens and derivatives, unlike monolithic designs.
1
Unified Layer
-90%
Settlement Latency
05

The Problem: Composability Poisoning

A standard ERC-20 LP position from a generalized AMM cannot be natively interpreted as a claim on a specific outcome. This breaks DeFi composability for hedging, indexing, or using prediction shares as collateral.

  • Key Benefit 1: Purpose-built AMMs mint non-fungible outcome tokens (like Gnosis Conditional Tokens), making them legible assets across DeFi.
  • Key Benefit 2: Enables automated market makers for derivatives on top of the base layer, creating a full-stack prediction ecosystem.
0
DeFi Integration
100%
Token Legibility
06

The Solution: Parameterized Risk Profiles

Architects must expose curve parameters (e.g., liquidity sensitivity, fee decay rate) as governance levers. This allows a single AMM to service markets with different volatility profiles (e.g., sports vs. politics) without redeployment.

  • Key Benefit 1: Protocol-owned liquidity can be optimally allocated across market categories based on risk-adjusted returns.
  • Key Benefit 2: Creates a data moat; optimal parameters for event types become a learned, defensible advantage.
N Markets
One Contract
>20%
Capital Efficiency Gain
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