This article characterizes a supply function equilibrium in an auction market constrained by limited capacities of links in a transportation network and limited input/output capacities of participants. The formulation is adapted to a wholesale spot market for electricity managed by the operator...

A player's pure strategy is called relevant for an outcome of a game in extensive form with perfect recall if there exists a weakly sequential equilibrium with that outcome for which the strategy is an optimal reply at every information set it does not exclude. The outcome satisfies forward...

We define a refinement of Nash equilibria called metastability. This refinement supposes that the given game might be embedded within any global game that leaves its local bestreply correspondence unaffected. A selected set of equilibria is metastable if it is robust against perturbations of...

Mertens' (1989) definition of stability for a game in strategic form is applied to a game in extensive form with perfect recall. If payoffs are generic then the outcomes of stable sets of equilibria defined via homological essentiality by Mertens coincide with those defined via homotopic...

We study an economy with traders whose payoffs are quasilinear and their private signals are informative about an unobserved state parameter. The limit economy has infinitely many traders partitioned into a finite set of symmetry classes called types. It has a unique rational expectations...

We impose three conditions on refinements of the Nash equilibria of finite games with perfect recall that select closed connected subsets, called solutions. A. Each equilibrium in a solution uses undominated strategies; B. Each solution contains a quasi-perfect equilibrium; C. The solutions of a...

For an all-pay sealed-bid auction of an item for which each bidder's realized value can depend on every bidder's privately observed signal, existence of equilibria in behavioral strategies is established using only the assumption that bidders' value functions and the density function of signals...

A first-price sealed-bid auction of an item for which bidders are risk-neutral and have privately known values is shown to have an equilibrium in mixed behavioral strategies if the joint distribution of bidders' values has a continuous density on a cubical support. Such an equilibrium has...