The Coin Game

Play against your friends or the computer (3 A.I. levels).
The objective of the game is to collect coins of greater value than the opponent.
In each round a player selects a coin and the other player decides which player will get it.
The first coin is selected by each player alternately. Each subsequent coin is selected by the player who holds the highest value of coins. If both players share the same value of coins then the next coin is selected by the player who selected a coin in the previous round.
The game contains an easter egg! Can you find it?