Chapter 13: Decision Mathematics 2: Game Theory

A-level Further MathsDecision Mathematics 1 & 25 topicsHigher

StudyStudy Material QuizQuiz ResourcesResources

Mock Papers

Exam-board mock papers

Mock papers launch from 1 August 2026. New papers will be added regularly from this date.

Dashboard tracking

Included with paid subject access

You can see the paper details now. Access unlocks when your plan includes this subject and tier.

Mock paperFeatured

Mock papers launch collection

alevel · further-maths · Decision Mathematics 1 & 2 · All papers

Releases 1 August 2026

Locked

Topic-aware long answers

Ultimate/Lifetime long-answer set

Ultimate and Lifetime users can create one saved set of 4 extended-response questions for this topic and mark answers with examiner-style feedback.

AI MCQ generation is available to paying students: 20 questions per session,2 sessions per month. Long-answer AI generation requires Ultimate or Lifetime access.

Free starter set

Decision Mathematics 2: Game Theory: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

D13-1 Find the required result for Decision Mathematics 2: Game Theory. Given A zero-sum payoff matrix for player R is [[3, -1], [0, 2]]. Use check for saddle points, dominance and mixed strategies. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

D13-2 Show that there is no saddle point because maximin differs from minimax for Decision Mathematics 2: Game Theory. Start from A zero-sum payoff matrix for player R is [[3, -1], [0, 2]]. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

D13-3 Determine the requested value in this structured Decision Mathematics 2: Game Theory problem: find the optimal mixed strategy for R. Use the same data: A zero-sum payoff matrix for player R is [[3, -1], [0, 2]]. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

D13-4 Hence use the result there is no saddle point because maximin differs from minimax to complete the extension for Decision Mathematics 2: Game Theory: find the optimal mixed strategy for R. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

Subject MCQ Bank

20 stored MCQs for this topic

Paying students get 20 stored MCQs per generation session and 2sessions each month. Your set is saved here so you can reset and retake it without using another allowance. If the bank is running low, replenishment happens in the background.

The 20-question stored MCQ bank is premium-only. Free users can study the starter unit and standard quiz, but bank practice unlocks after purchasing the subject.

Loading practice tools...

← Previous

12. Decision Mathematics 2: Dynamic Programming

14. Decision Mathematics 2: Recurrence Relations

Key learning objectives

Understand the key principles behind Decision Mathematics 2: Game Theory.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.