The section numbers given here are from the two text books. Ferguson is "F" and Karlin and Peres is "KP". Please note that this is just a guide and may change as the semester progress.The web-page will be updated accordingly.

• Week-1,2: (08/30 - 09/06)
  • Fri: Course policy, Introduction and examples.
  • Mon: Labor Day (holiday).
  • Wed: Introduction and examples (continued).
  • Fri: Impartial Combinatorial Games, a simple Take-Away Game (F Section 1.1.1).

• Week-3: (09/09 - 09/13)
  • Mon: Combinatorial Games, P and N positions (F Sections 1.1.2 and 1.1.3).
  • Wed: Subtraction Games, examples (F Section 1.1.5).
  • Fri: Subtraction Games, examples continued (F Section 1.1.5).

• Week-4: (09/16 - 09/20)
  • Mon: The Game of Nim, Nim sum, Bouton's Theorem (F Sections 1.2.1, 1.2.2 and 1.2.3).
  • Wed: Proof of Bouton's Theorem, The Game Nimble (F Sections 1.2.4 and 1.2.6).
  • Fri: The Staircase Nim, The Game of Rims (F Section 1.2.6 and KP Example 10.1.13).

• Week-5: (09/23 - 09/27)
  • Mon: The Game of Rims (continued), Turning Turtles (KP Example 10.1.13 and F Section 1.2.6).
  • Wed: Sum of two combinatorial games, examples, definition of equivalence (KP Section 10.1.3).
  • Fri: Properties of equivalence and examples (KP Section 10.1.3).

• Week-6: (09/30 - 10/04)
  • Mon: Definition of Sprague-Grundy function, examples, Sprague-Grundy Theorem (KP Section 10.1.3).
  • Wed: Proof of Sprague-Grundy Theorem, Sum Theorem and proof (KP Section 10.1.3).
  • Fri: The Game of Green Hackenbush (KP Example 10.1.35).

• Week-7: (10/07 - 10/11)
  • Mon: Two-Person Zero-Sum Games, examples (KP Section 2.1).
  • Wed: Pure and mixed strategies (F Sections 2.1.1. 2.1.2 and 2.1.3).
  • Fri: von Neumann's Minimax Theorem, applications (F Section 2.1.4).

• Week-8: (10/14 - 10/18)
  • Mon: Matrix Games, Saddle Points, Examples (F Section 2.2.1 and KP Section 2.3)
  • Wed: Nash Equilibrium (KP Section 2.3).
  • Fri: Solutions of all 2 x 2 Matrix Games (F Section 2.2.2).

• Week-9: (10/21 - 10/25)
  • Mon: Review for the Midterm Examination.
  • Wed: Midterm.
  • Fri: Dominated strategies, Solving 2 x n and m x 2 Games (F Sections 2.2.3 and 2.2.4 and KP Sections 2.4.1 and 2.4.2)

• Week-10: (10/28 - 11/01)
  • Mon: Solving games with non-singular, diagonal and triangular pay-off matrix. (F Sections 2.3.2, 2.3.3 and 2.3.4).
  • Wed: Solving games with symmetries (F Sections 2.3.5 and 2.3.6 and KP Sections 2.4.3).
  • Fri: Solving general finite games, upper and lower values (F Sections 2.4.1 and 2.4.2)

• Week-11: (11/04 - 11/08)
  • Mon: Pivot Method for solving games (F Section 2.4.5).
  • Wed: Numerical example of solving by pivot method (F Section 2.4.6).
  • Fri: Relation with linear programming, basics of linear programming (F Section 2.4.4 and KP Section 2.7.1).

• Week-12: (11/11 - 11/15)
  • Mon: Veterens Day (holiday).
  • Wed: Two-Person Zero-Sum Games with infinite action spaces (KP Section 2.8).
  • Fri: Two-Person General Sum Games, examples (KP Section 3.1).

• Week-13: (11/18 - 11/22)
  • Mon: Nash's Equilibrium, examples (KP Section 3.2).
  • Wed: General-sum games with more than two players, examples (KP Section 3.3).
  • Fri: Pure and mixed Nash Equilibrium, Nash's Theorem (KP Section 3.3).

• Week-14: (11/25 - 11/29)
  • Mon: Potential games, the game of coloring of a graph (KP Section 3.6).
  • Wed: The game of coloring of a graph continued (KP Example 3.6.4).
  • Fri: Thanks Giving Holiday.

• Week-15: (12/02 - 12/06)
  • Mon: Theory of Social Choice, voting and ranking mechanisms, examples (KP Section 5.1).
  • Wed: Arrow’s Impossibility Theorem (KP Section 5.2).
  • Fri: Applications of Arrow's Impossibility Theorem (KP Section 5.3).