The solution is contained in the post. I can&#x27;t find a problem with it. It was you who were suggesting this is a naive analysis.<p>Equilibria just seem to me to be the wrong tool for the job, you have to (as you have) invent a related infinite game with additional axioms and expectations before that kind of analysis kicks in.<p>Check your responses. If you can&#x27;t describe what you&#x27;re trying to say without mentioning anyone &#x27;changing&#x27; their strategy, or assuming that a strategy is default, then you&#x27;ve got the wrong framework, I&#x27;d suggest (modulo my admitted lack of specific expertise).