Showing 1 - 8 of 8
Sufficient conditions for Nash equilibrium in an n-person game are given in terms of what the players know and believe — about the game, and about each other's rationality, actions, knowledge, and beliefs. Mixed strategies are treated not as conscious randomizations, but as conjectures, on the...
Persistent link: https://www.econbiz.de/10011206381
Suppose that each player in a game is rational, each player thinks the other players are rational, and so on. Also, suppose that rationality is taken to incorporate an admissibility requirement — that is, the avoidance of weakly dominated strategies. Which strategies can be played? We provide...
Persistent link: https://www.econbiz.de/10011206393
Game-theoretic analysis often leads to consideration of an infinite hierarchy of beliefs for each player. Harsanyi suggested that such a hierarchy of beliefs could be summarized in a single entity, called the player's type. This chapter provides an elementary construction, complementary to the...
Persistent link: https://www.econbiz.de/10011206453
behavior of SAS's in some games of interest — Centipede, the Finitely Repeated Prisoner's Dilemma, and Chain Store. We then … establish some general properties of SAS's, including a characterization in perfect-information games. …
Persistent link: https://www.econbiz.de/10011206587
well defined conditional probabilities, that is, given any event a conditional probability which is concentrated on that … beliefs; probability-theoretic properties of the representations; and the relationships with other recent extensions of …
Persistent link: https://www.econbiz.de/10011206642
We discuss the unity between the two standard approaches to noncooperative solution concepts for games. The decision …
Persistent link: https://www.econbiz.de/10011206697
Correlations arise naturally in noncooperative games, e.g., in the equivalence between undominated and optimal … strategies in games with more than two players. But the noncooperative assumption is that players do not coordinate their … strategy choices, so where do these correlations come from? The epistemic view of games gives an answer. Under this view, the …
Persistent link: https://www.econbiz.de/10011206775
A paradox of self-reference in beliefs in games is identified, which yields a game-theoretic impossibility theorem akin …
Persistent link: https://www.econbiz.de/10011206790