ECC Topic 2 Cheat Sheet, Cheat Sheet of Microeconomics

ECC Topic 2 focuses on Elliptic Curve Cryptography, a public-key encryption method that uses mathematical points on an elliptic curve over finite fields to create secure communication. Its main equation is based on points satisfying a specific curve formula, and security comes from scalar multiplication, where a private key (a random number) is multiplied by a generator point to produce a public key. While it is easy to generate the public key, reversing it to find the private key is extremely difficult because of the Elliptic Curve Discrete Logarithm Problem (ECDLP). ECC is important because it provides strong security with much smaller key sizes than RSA, making it faster, more efficient, and ideal for modern systems like HTTPS, cryptocurrencies, digital signatures (ECDSA), and secure key exchange (ECDH).

Typology: Cheat Sheet

2025/2026

Uploaded on 05/15/2026

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Content:
- Profit maximising rule: produce where Marginal Revenue = Marginal Cost (MR = MC)
- Marginal cost (MC) = change in total cost ÷ change in quantity (divide per unit if
required)
-
- All buyers and sellers are price takers — no individual can influence the market price
- π = (P* − ATC) × Q* (Profit Equation)
- Productive efficiency — producing at minimum ATC in the long run → monopolists
are NOT productively efficient, perfect competition are both
- Allocative efficiency — selling at P = MC so all mutually beneficial trades occur →
monopolists are NOT allocatively efficient, perfect competition are both
- Oligopoly - A small number of firms, usually due to barriers to entry. Product
differentiation may or may not existThe actions of one firm directly affect the profits of
rivals via the price effect.
- The value of the reservation option includes: income while unemployed, government
benefits, time required to find a better job, and utility factors such as how the worker
values free time and anxiety about unemployment
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Content:

  • Profit maximising rule: produce where Marginal Revenue = Marginal Cost (MR = MC)
  • Marginal cost (MC) = change in total cost ÷ change in quantity (divide per unit if required)
  • All buyers and sellers are price takers — no individual can influence the market price
  • π = (P* − ATC) × Q* (Profit Equation)
  • Productive efficiency — producing at minimum ATC in the long run → monopolists are NOT productively efficient, perfect competition are both
  • Allocative efficiency — selling at P = MC so all mutually beneficial trades occur → monopolists are NOT allocatively efficient, perfect competition are both
  • Oligopoly - A small number of firms, usually due to barriers to entry. Product differentiation may or may not existThe actions of one firm directly affect the profits of rivals via the price effect.
  • The value of the reservation option includes: income while unemployed, government benefits, time required to find a better job, and utility factors such as how the worker values free time and anxiety about unemployment

Practical Applications:

T8 - Reasons for reservation wage changes and implications on individual employment decisions:

T6 - Shape of Graphs and ATC U-shape explanation

T6 - Long-run Equilibrium Perfect Competition (Zero profit)