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日期:2022-08-26 08:29


COMP813 2022

Assignment 3 Set

Sunday, 21 August 2022 6:51 pm

COMP813(Artificial Intelligent) Page 1

Answer below the question.

COMP813(Artificial Intelligent) Page 2

The study of mathematical of conflict and cooperation between intelligent rational decision-makers(agents). 2 main aspect of game theory:

Mathematics and Economics. Important application of each aspects: Economics: Business, Finance, etc. Mathematics: Computer System,

Science, Etc.

1.

Normal form and extensive form are 2 standard representations of games in game theory. Normal form example: prisoner's game in matrix

form, matching pennies, rock paper scissors. Extensive form example: chess, poker, tic tac toe

2.

Consider that a team has been awarded a penalty kick. This situation pits the striker against the goalkeeper in a battle of wits. The goalkeeper

has to take a decision on whether to leap to the left or the right (or stand his ground). The striker has a similar dilemma (which direction to

choose). Player: goalkeeper and striker, action: kick to the left or right for striker and move to left or right for goalkeeper, utilities: gain 1 score

for striker if goalkeeper moves it's the opposites direction as striker and gain 1 score for goalkeeper if goalkeeper move the same direction as

striker

3.

2 Player and 3 Player table4.

Answer:

COMP813(Artificial Intelligent) Page 3

2 Player and 3 Player table4.

Matrix form:5.

No pure strategy Nash Equilibrium

Therefore no subgame perfect.

6.


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