This paper is concerned with the problem of extending an antisymmetric binary relation on a set to a linear order on the power set. A necessary and sufficient condition is offered.

This paper examines the strategic commitment behavior of heterogeneous leaders in an endogenous market structure. We demonstrate that each leader's investment level is independent of the other leaders' characters. Furthermore, we show that a leader over-invests (resp. under-invests) when an...

This paper examines the logical relationship among Maskin monotonicity, independent person-by-person monotonicity, independent weak monotonicity, strategy-proofness, and coalitional strategy-proofness in a society with infinite individuals.

This paper examines an extended framework of Arrovian social choice theory. We consider two classes of values: consequential values and non-consequential values. Each individual has a comprehensive preference based on the two. Non-consequential values are assumed to be homogeneous among...

We examine the range of anonymity that is compatible with a Paretian social welfare relation (SWR) on infinite utility streams. Three alternative coherence properties of an SWR are considered, namely, acyclicity, quasi-transitivity, and Suzumura consistency. For each case, we show that a...

This paper examines a two-period moral hazard model with an inequality-averse agent. We show how the agent's past performance will help the principal to relax incentive compatibility constraints and how the existence of an inequality aversion of the agent affects a level of wage in each period...

This note provides an axiomatic analysis of a social welfare ordering over infinite utility streams. We offer two characterizations of an infinite-horizon version of the Nash criterion.