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Tom and Jerry are two army commandos. They are fighting for control of two battlegrounds labelled Zone A and Zone B. Tom has two regiments

Tom and Jerry are two army commandos. They are fighting for control of two battlegrounds labelled Zone A and Zone B. Tom has two regiments and Gerry has three regiments. Both commandos will use all their regiments in the battle. A commando may assign to a battle ground, none or any number of regiments under his command. The army with more regiments will win the battle ground with pay-off 1 and the loser receives a pay-off of -1. If both commandos assign no regiment or the same number of regiments to a battle ground, the battle will be a draw with pay-off zero. Both commandos are aiming to win as many battle grounds as possible.


- Let (ZA, ZB) = (Number of regiments assigned to Zone A, Number of regiments assigned to Zone B)


Set up the pay-off table for Tom

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