The paper generalizes Kuhn's Theorem to extensive form games in which players condition their play on the realization of ambiguous randomization devices and use a maxmin decision rule to evaluate the consequences of their decisions. It proves that ambiguous behavioral and ambiguous mixed...

In the standard formulation of game theory, agents use mixed strategies in the form of objective and probabilistically precise devices to conceal their actions. We introduce the larger set of probabilistically imprecise devices and study the consequences for the basic results on normal form...

In classic game theory, agents use mixed strategies in the form of objective and probabilistically precise devices to conceal their actions. We introduce the larger set of probabilistically imprecise devices as strategies and study the consequences for the basic results of normal form games....

Ambiguity can be used as a strategic device in some situations. To demonstrate this, we propose and study a framework for normal form games where players can use Knightian uncertainty strategically. In such Ellsberg games, players may use Ellsberg urns in addition to the standard objective mixed...

The article seeks to fill the gap between tacit and explicit collusion in a setting where firms observe only their own output levels and a common price, which includes a stochastic component. Without communication, firms fail to discriminate between random shocks and marginal deviations, which...

The paper explores the role of price or quantity leadership in facilitating collusion. It extends the standard analysis of tacit collusion by allowing firms to make their strategic choices either simultaneously or sequentially. It is shown that price leadership indeed facilitates collusion by...

The paper studies the role of communication in facilitating collusion. The situation of infinitely repeated Cournot competition in the presence of antitrust enforcement is considered. Firms observe only their own production levels and a common market price. The price is assumed to have a...

Riedel and Sass (2013) propose a framework for normal form games where players can use imprecise probabilistic devices. We extend this strategic use of objective ambiguity to extensive form games. We show that with rectangularity of Ellsberg strategies we have dynamic consistency in the sense of...