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 study the problem of assigning indivisible goods to individuals where each is to receive one object. To guarantee fairness in the absence of monetary compensation, we consider random assignments and analyse various equity criteria for such lotteries. In particular, we find that sd-no-envy (as...