In traditional game theory, strategies are equivalent with actions and mixed strategies are the only extension. As a new extension, strategies are interpreted as plans. Although most plans are not very interesting (like doing a certain action), some conditional plans are. For example, they...

Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2013a), we develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower...

We experimentally investigate a repeated "inspection game" where, in the stage game, an employee can either work or shirk and an employer simultaneously chooses to inspect or not inspect. The unique equilibrium of the stage game is in mixed strategies with positive probabilities of...

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....

This paper presents a class of finite n x n bimatrix (2-player) games we coin Circulant Games. In Circulant Games, each player's payoff matrix is a circulant matrix, i.e.\ each row vector is rotated one element relative to the preceding row vector. We show that when the payoffs in the first row...

We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are...

The standard state-spaces of asymmetric information preclude non-trivial forms of unawareness (Modica and Rustichini, 1994, Dekel, Lipman and Rustichini, 1998). We introduce a generalized state-space model that allows for non-trivial unawareness among several individuals, and which satisfies...

We introduce intention-based social preferences into mechanism design. We explore information structures that dier with respect to what is commonly known about the weight that agents attach to reciprocal kindness. When the designer has no information on reciprocity types, implementability of an...

J. Harsanyi introduced structural polymorphism in game theory, that is, there are many possible agent types such as “low productivity” or high productivity” with corresponding probability but all operating under one behavioral type, strict rationality. In this paper, we introduce...