Sentence examples for knowledge of rationality from inspiring English sources

Both violate common knowledge of rationality.

They described that players have common knowledge of rationality.

The widespread idea that game theory "assumes common knowledge of rationality", perhaps in conjunction with the extensive use of equilibrium concepts in game-theoretic analysis, has lead to misconception that the Nash Equilibrium either requires common knowledge of rationality, or that common knowledge of rationality is sufficient for the players to play according to a Nash equilibrium.

However, we must not overestimate the importance of these results, for they say nothing about the origins of the common knowledge of rationality and beliefs.

Nonetheless, the above result shows that both of these ideas are incorrect: Common knowledge of rationality is neither necessary nor sufficient for Nash Equilibrium.

The standard ground of contention is that common knowledge of rationality used in this argument seems self-defeating, at least intuitively.

Designers and students learn to come to terms with local society, experiencing different kinds of knowledge, forms of rationality, ways of thinking.

Suppose first that common knowledge of Bayesian rationality is satisfied.

Then common knowledge of Bayesian rationality is satisfied if, and only if, μ is an endogenous correlated equilibrium.

Then, since the distributions are common knowledge, (3.i) is common knowledge, so common knowledge of Bayesian rationality is satisfied by Proposition 3.4.

If the model includes explicit information about the players' belief revision policy, then there can be common knowledge of substantive rationality (in Stalnaker's sense) yet the players' choices do not conform to the backward induction profile.