We investigate the implementation of social choice functions (SCFs) from an epistemological perspective. We consider the possibility that in higher-order beliefs there exists an honest agent who is motivated by intrinsic preference for honesty as well as material interest. We assume weak...

We investigate implementation of social choice functions with asymmetric information concerning the state from epistemological perspectives. While each agent is either selfish or honest, they do not expect other participants to be honest. Nevertheless, an honest agent may exist, not among the...

We consider the possibility that in a society where innately prosocial and adversarial agents exist albeit in the minority, the majority of agents behave honestly from two distinct perspectives. First, we consider a socioeconomic perspective in which the majority are influenced by their partners...

The issue of the order-dependence of iterative deletion processes is well-known in the game theory community, and meanwhile conditions on the dominance concept underlying these processes have been detected which ensure order-independence (see e.g. the criteria of Gilboa et al., 1990 and Apt,...

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...

Epistemic game theory formalizes assumptions about rationality and mutual beliefs in a formal language, then studies their behavioral implications in games. Specifically, it asks: what do different notions of rationality and different assumptions about what players believe about…what others...