When players may have lexicographic utilities, there are: (i) extensive games having a non-empty set of equilibria but empty sets of sequentially rational, sequential and perfect equilibria (ii) normal form games having a non-empty set of equilibria but an empty set of proper equilibria and no...

It is argued that if an out-of-equilibrium player observing a deviation from a presumed strategically stable path of play believes that a player also observing the deviation is more likely to deviate than a player who does not observe the deviation then it is possible to justify, in some...

It seems from what is explained in some textbooks that, for a given demand function, price and total revenue move in the same direction when elasticity is smaller than one and move in opposite directions when elasticity is greater than one, with elasticity from point (p, q) to point (p', q'') of...

When players may have lexicographic utilities, there are: (i) extensive games having a non-empty set of equilibria but empty sets of sequentially rational, sequential and perfect equilibria (ii) normal form games having a non-empty set of equilibria but an empty set of proper equilibria and no...

The problem of aggregating preferences over two alternatives is considered. Three axioms are postulated: unanimity, reducibility (two divergent preferences can be replaced by their aggregation), and anonymity. It is shown that only twelve aggregation rules satisfy the three axioms: the majority...

When preferences are defined over two alternatives, the (relative) majority rule is characterized in terms of the four axioms U, P, I, and G. U is unanimity. P is the condition that the union of two unconcerned (that is, indifferent) groups of individuals creates an unconcerned group. I asserts...

Two axioms are shown to characterize the relative majority rule when preferences are defined over two alternatives. According to one axiom, if all the individuals in a group are indifferent, then the associated group preference is indifference. The second axiom states that a group S prefers...

It seems from what is explained in some textbooks that, for a given demand function, price and total revenue move in the same direction when elasticity is smaller than one and move in opposite directions when elasticity is greater than one, with elasticity from point (p, q) to point (p', q'') of...

A procedure to construct a social welfare function from a social choice function is suggested and it is shown that the dictatorial are the only unanimous social welfare functions that can be reconstructed from a social choice function that does not change the social choice when a defeated...

A procedure to construct a social welfare function from a social choice function is suggested and it is shown that the dictatorial are the only unanimous social welfare functions that can be reconstructed from a social choice function that does not change the social choice when a defeated...