We call a correspondence, defined on the set of mixed strategy proles, a generalized best reply correspondence if it (1) has a product structure, (2) is upper hemi-continuous, (3) always includes a best reply to any mixed strategy prole, and (4) is convex- and closed-valued. For each generalized...

We call a correspondence, defined on the set of mixed strategy profiles, a generalized best reply correspondence if it has (1) a product structure, is (2) upper semi-continuous, (3) always includes a best reply to any mixed strategy profile, and is (4) convex- and closed-valued. For each...

This paper provides an in-depth study of the (most) refined best reply correspondence introduced by Balkenborg, Hofbauer, and Kuzmics (2012). An example demonstrates that this correspondence can be very different from the standard best reply correspondence. In two-player games, however, the...

We characterize the smallest faces of the polyhedron of strategy profiles that could possibly be made asymptotically stable under some reasonable deterministic dynamics. These faces are Kalai and Samet's (1984) persistent retracts and are spanned by Basu and Weibull's (1991) CURB sets based on a...

Should lenders be made liable for environmental damages caused by their customers? In a recent paper Pitchford studied the case where the customer is a wealth-constrained manager-owned firm. He argued convincingly that a joint liability of lender and firm may reduce the firm's incentive to...

Kohlberg and Mertens argued that a solution concept to a game should be invariant under the addition of deletion of an equivalent strategy and not require the use of weakly dominated strategies. In this paper we study which of these requirements are satisfied by Kalai and Samet's concepts of...

We introduce notions of evolutionary stability for sets of strategies based on the following requirements: After every sufficiently small mutation of a population playing a single strategy in the set: a) No single mutant strategy can spread. b) A single mutant strategy not in the set will be...