plumiGame theory for zero-sum games: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on DF Game theory for zero-sum games, 2019–2025, with its mark scheme and examiner’s report.
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All 16 questions on Game theory for zero-sum games, as a list
- June 2025, Paper 3 Discrete, Q9 (9 marks): (a) John and Elizabeth play a zero-sum game that does not have a stable solution. This game is represented by the following pay-off matrix for John. Elizabeth S
- June 2025, AS Paper 2 Discrete, Q9 (9 marks): Caroline and David play a zero-sum game. The constant k is such that 0 < k < 3 The game is represented by the following pay-off matrix for Caroline. David Strat
- June 2024, Paper 3 Discrete, Q4 (4 marks): Daniel and Jackson play a zero-sum game. The game is represented by the following pay-off matrix for Daniel. Jackson Strategy W X Y Z Daniel A 3 –2 1 4 B 5 1 –4
- June 2024, Paper 3 Discrete, Q9 (6 marks): Janet and Samantha play a zero-sum game. The game is represented by the following pay-off matrix for Janet. Samantha Strategy S1 S2 S3 Janet J1 2 7 6 J2 5 5 1 J
- June 2024, AS Paper 2 Discrete, Q10 (7 marks): Bilal and Mayon play a zero-sum game. The game is represented by the following pay-off matrix for Bilal, where x is an integer. Mayon Strategy M1 M2 M3 Bilal B1
- June 2023, Paper 3 Discrete, Q2 (1 mark): Jonathan and Hoshi play a zero-sum game. The game is represented by the following pay-off matrix for Jonathan. Hoshi Strategy H1 H2 H3 Jonathan J1 −2 3 2 J2 3 2
- June 2023, AS Paper 2 Discrete, Q6 (6 marks): Xander and Yvonne are playing a zero-sum game. The game is represented by the pay-off matrix for Xander. Yvonne Strategy Y1 Y2 Y3 Xander X1 –4 1 –3 X2 4 –3 –3 X
- June 2022, Paper 3 Discrete, Q4 (6 marks): Ben and Jadzia play a zero-sum game. The game is represented by the following pay-off matrix for Ben. Jadzia Strategy X Y Z Ben A −3 2 3 B 6 0 −4 C 7 −1 1 D 6 −
- June 2022, Paper 3 Discrete, Q10 (5 marks): Kira and Julian play a zero-sum game that does not have a stable solution. Kira has three strategies to choose from: K1, K2 and K3 To determine her optimal mixe
- June 2022, AS Paper 2 Discrete, Q7 (7 marks): Kez and Lui play a zero-sum game. The game does not have a stable solution. The game is represented by the following pay-off matrix for Kez. Lui Strategy L1 L2
- November 2021, Paper 3 Discrete, Q7 (14 marks): Avon and Roj play a zero-sum game. The game is represented by the following pay-off matrix for Avon. Roj Strategy R1 R2 R3 Avon A1 3 1 4 A2 2 3 2 A3 6 2 1 The z
- November 2021, AS Paper 2 Discrete, Q6 (6 marks): Vaya and Wynne are playing a zero-sum game. The game is represented by the pay-off matrix for Vaya. Wynne Strategy W1 W2 W3 Vaya V1 −150 300 −250 V2 −100 0 75 V
- November 2020, Paper 3 Discrete, Q8 (12 marks): Daryl and Clare play a zero-sum game. The game is represented by the following pay-off matrix for Daryl. Clare Strategy X Y Z Daryl A ×1 3 4 B 3 2 1 8 (a) (i) S
- November 2020, AS Paper 2 Discrete, Q3 (5 marks): Summer and Haf play a zero-sum game. The pay-off matrix for the game is shown below. Haf Strategy H1 H2 H3 Summer S1 4 −4 0 S2 −12 0 10 S3 10 4 6 3 (a) Show tha
- June 2019, Paper 3 Discrete, Q1 (1 mark): Deanna and Will play a zero-sum game. The game is represented by the following pay-off matrix for Deanna. Will Strategy X Y Z Deanna A −1 0 2 B −2 −1 3 C 5 −2 −
- June 2019, AS Paper 2 Discrete, Q7 (10 marks): Ali and Bex play a zero-sum game. The game is represented by the following pay-off matrix for Ali. Bex Strategy B1 B2 B3 Ali A1 2 −1 3 A2 −4 −2 2 A3 0 1 1 A4 −3
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