What will the Computer Players do?

In Part 2 of the games, there will be between 3 to 5 players, including you as Player 1. The other 2 to 4 players are controlled by pre-programmed computer algorithms, all of which behave identically across the games. Each round requires you and the computer players to select one option from 3, 4, or 5 possible choices. The computer players are designed with the goal of maximizing their own payoffs.

Here's how a computer player decides its move in each round:

Analysis: It reviews the Payoff Tables of all players.
Assumption: It assumes that every player, including you, will choose options that maximize their own payoffs.
Decision: It selects the option that leads to its highest achievable payoff. It's important to note that this chosen option may not directly correspond to the highest value in the computer's payoff matrix. This is because the ultimate payoff also depends on the choices of other players.

Example: Consider for the following Payoff Table, the computer (as Player 2) examines the payoff tables and assumes a profit-maximizing opponent will choose option C3. Based on this assumption, the computer decides to choose option D2, which results in a payoff of 14. This is not the maximum payoff of 16 shown in its Table, but it is the highest payoff that the computer can achieve, given its expectations of the other players' choices.

		A3	B3	C3	D3
		Player 3's Options
Player 2's Options	A2	1	2	3	4
	B2	8	7	6	5
	C2	9	10	11	12
	D2	16	15	14	13