Uncovered Bargaining Solutions

An uncovered bargaining solution is a bargaining solution for which there exists a complete and strict relation (tournament) such that, for each feasible set, the bargaining solution set coincides with the uncovered set of the tournament. We provide a characterization of a class of uncovered bargaining solutions.Bargaining, Tournaments, Uncovered set, Non-convex problems

Essays on behavioural economic theory

PhDThe chapters of this work lie at the intersection between classical choice theory and experimental data on decision making. In chapter 21 study necessary and sufficient conditions for a choice function to be rationalized in the following sense: there exists a complete asymmetric relation T (a tournament) such that, for each feasible (finite) set, the choice set coincides with the uncovered set of T restricted to that feasible set. This notion of 'maximization' may offer testable restrictions on observable choice behavior. In chapter 3 Mariotti and I give a group revealed preference interpretation to the concept of uncovered set, and we provide a characterization of uncovered bargaining solutions of a Pareto-consistent tournament. In chapter 41 study the rationalizability of reason-based choice correspondences axiomatically. A reason-based choice correspondence rationalizes choice behaviour in terms of a two stage choice procedure. Given a feasible set S, the individual eliminates in the first step all of the dominated alternatives according to her fixed (not necessarily complete) strict preference relation. In the second step, she first constructs for each maximal alternative identified in the first step its lower contour set, and then she eliminates from the maximal set all of those alternatives so that the following justification holds: there exists another maximal alternative whose lower contour set strictly contains that of another maximal alternative. This procedural model captures the basic idea behind the experimental finding known as "attraction effect". Finally, in chapter 51 build a connection between the behavioral property expressed by the weak axiom of revealed non-inferiority and a new weak notion of rationality. This notion is weaker than that characterized by the weak axiom of revealed preference (WARP)

Bargaining and the theory of cooperative games: John Nash and beyond

This essay surveys the literature on the axiomatic model of bargaining formulated by Nash ("The Bargaining Problem," Econometrica 28, 1950, 155-162).Nash's bargaining model, Nash solution, Kalai-Smorodinsky solution, Egalitarian solution

Uncovered bargaining solutions

Bargaining, Tournaments, Uncovered set, Non-convex problems, C72, D44,