We prove existence of mixed strategy equilibria for a class of discontinuous two-player games with non-compact strategy sets. As a corollary of our main results, we obtain a continuum of mixed strategy equilibria for the firstand second-price two-bidder auctions with toeholds. We also find Klemperer’s (2000) result about the existence of mixed strategy equilibria in the classical Bertrand duopo...

This paper extends the Bertrand–Edgeworth price-setting game with finitely many firms to a game with infinitely many firms. Taking a market with one significant firm and a nonatomic fringe, we present a microfoundation of dominant-firm price leadership.  2000 Elsevier Science S.A. All rights reserved.

Brander and Lewis argue in a seminal paper (AER, 1986) that a Þrm’s debt-equity ratio should have important strategic effects on product market competition. We test their model in a duopoly experiment under both, Bertrand and Cournot competition. We Þnd that leverage has strategic effects, but those effects are much weaker than predicted by theory. SpeciÞcally, we Þnd for price competition a ge...

Olson (1965) has argued that one way large groups overcome the free-rider problem is through by-product lobbying. The by-product firm sells a private good to potential members of the interest group and finances lobbying with its profits. It has been argued that by-product lobbying firms cannot survive competition with for-profit firms, since this would compete away monopoly rents, leaving the f...

In a theoretical framework we compare production-in-advance type and production-to-order type environments. We carry out our analysis in the framework of a symmetric capacity-constrained Bertrand-Edgeworth duopoly game and prove that the equilibrium profits are the same in case of production in advance and production to order. In addition, advance production results in higher prices than produc...

Several generalized Wallman type spaces are considered as well as various lattices of subsets therein. In particular, regularity of these lattices and consequences are investigated. Also considered are necessary and sufficient conditions for these lattices to be Lindel6f as well as replete, prime complete, and fully replete.

We prove the existence of designs of small size in a number of contexts. In particular our techniques can be applied to prove the existence of ndesigns on S of size Od(n d log(n)d−1).

A separable Banach space X contains l1 isomorphically if and only if X has a bounded fundamental total wc∗0-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded fundamental total wc∗0-biorthogonal system.