Sentence examples for common knowledge of each from inspiring English sources

If a married couple are separated in a department store, they stand a good chance of finding one another because their common knowledge of each others' tastes and experiences leads them each to look for the other in a part of the store both know that both would tend to frequent.

Common knowledge, which captures the motives and values of each profession, is essential for the exercise of relational agency and contributing to and working with the common knowledge of what matters for each profession is a new form of relational expertise.

The general version of this result, for arbitrary finite number of agents and allowing for mixed strategies, requires common knowledge of conjectures, i.e., of each player's probabilistic beliefs in the other's choices.

We then model the interaction between the suppliers as an incomplete information (Bayesian) game: the structure of the game is common knowledge of all the suppliers, but each supplier knows only his/her own utility function.

So another way of stating Aumann's main result is as follows: Common knowledge of ω-Bayesian rationality at each possible world implies that the agents follow an Aumann correlated equilibrium.

Aumann also notes that this result implicitly assumes that the agents have common knowledge of their partitions, since a description of each possible world includes a description of the agents' possibility sets.

According to the classical argument, if Alan and Fiona have common knowledge of rationality and the game, then each will predict that the other will follow her end of the backwards induction solution, to which his end of the backwards induction solution is his unique best response.

They say that common knowledge of rationality and of agents beliefs about each other, quantified as their probability distributions over the strategy profiles they might follow, implies that the agents' beliefs characterize an equilibrium of the game.

Given common knowledge of this equilibrium, either pure strategy is a best reply for each agent, in the sense that either pure strategy maximizes expected utility.

The importance of these algorithms in the modern world is common knowledge, of course.

Some people enjoy common knowledge of "American Idol" or the Mets or rumors about Brad Pitt's love life; some share common knowledge of Tron Guy or YouTube remixes or funny pictures of cats.