Is Equal Protection a Language Game?

Equal Protection and Peremptory Challenges

When is the reservation value in a repeated game equal to the minmax payoff?

We study the relationship between a player’s minmax payoff and his lowest equilibrium payoff (his reservation utility) in repeated games with imperfect monitoring. We provide a necessary and sufficient condition on the information structure under which these two payoffs coincide for any payoff matrix. Under a full rank assumption, we further show that, if the monitoring structure of an infinite...

When is the individually rational payoff in a repeated game equal to the minmax payoff?

We study the relationship between a player’s (stage game) minmax payoff and the individually rational payoff in repeated games with imperfect monitoring. We characterize the signal structures under which these two payoffs coincide for any payoff matrix. Under a full rank assumption, we further show that, if the monitoring structure of an infinitely repeated game ‘nearly’ satisfies this conditio...

When is the lowest individually rational payoff in a repeated game equal to the minmax payoff?∗

This note studies the relationship between a player’s (stage game) minmax payoff and the (lowest) individually rational payoff in repeated games with imperfect monitoring. We characterize the signal structures under which these two payoffs coincide for any payoff matrix. Under an identifiability assumption, we further show that, if the monitoring structure of an infinitely repeated game ‘nearly...

Scorekeeping in a language game

At any stage in a well-run conversation, a certain amount is presupposed. The parties to the conversation take it for granted; or at least they purport to, whether sincerely or just “for the sake of the argument”. Presuppositions can be created or destroyed in the course of a conversation. This change is rule-governed, at least up to a point. The presuppositions at time r’ depend, in a way abou...