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When you say "no effect" - what is his response.

He just continues to cry and ask to be allowed to keep playing. Then he immediately starts asking to play again once the game is put away.

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One thing you may want to try is talking BEFORE the game about what to happen if he starts to feel upset. Give him a very specific thing to do - if we start to feel upset we will, stand up, take a deep breath and stretch. If we lose we will say "good game" and shake hands.

Good idea, though I fear it may not have much effect. We already do "shake hands--good game," which he used to be quite cheerful about.

He is naturally limited in that I don't enjoy the game and will generally only agree to play once per day. (I'll play other games, which don't arouse the same hysteria.) DD may also play once with him on days she is available. He doesn't use the computer, so he has to wait for a real live human.