We consider the integer programming version of inverse optimization. Using superadditive duality, we provide a polyhedral description of the set of inversefeasible objectives. We then describe two algorithmic approaches for solving the inverse integer programming problem.

A branch and bound algorithm is proposed for finding an approximate global optimum of quadratic functions over a bounded polyhedral set. The algorithm uses Lagrangian duality to obtain lower bounds. Preliminary computational results are reported.

Let W (ψ; x, y) be the wideband ambiguity function. It is obtained in this note that y− α+2 2 W (ψ;x, y)(α > −1) is SO(2)-invariant if and only if the Fourier transform of ψ is a Laguerre function.

We provide a rationale for ambiguous communication. We do so by considering a cheap talk game in which a (possibly ambiguity averse) sender (S) able to randomize according to unknown probabilities faces an ambiguity averse receiver (R). We show that under fairly general circumstances, there exist equilibria featuring Ellsbergian communication strategies that allow both S and R to obtain a highe...

We prove a well-posedness result for second order boundary value problems in weighted Sobolev spaces on curvilinear polyhedral domains in Rn with Dirichlet boundary conditions. Our typical weight is the distance to the set of singular boundary points.

The Working Papers should not be reported as representing the views of the Banco Central do Brasil. The views expressed in the papers are those of the author(s) and do not necessarily reflect those of the Banco Central do Brasil. This paper characterizes ambiguity averse preferences in the absence of the completeness axiom. We axiomatize multiple selves versions of some of the most important ex...

We show that an increase in uncertainty about the probability of being audited (ambiguity) increases tax compliance for ambiguity-averse taxpayers but reduces compliance for ambiguity lovers. Because experimental evidence reveals considerable heterogeneity with respect to ambiguity preferences, we conclude that fostering uncertainty about the probability of being audited may not be an effective...

The nonholonomy exhibited by kinematic systems consisting of bodies rolling on top of each other can be used to the purpose of building dexterous mechanism with a minimum hardware complication. Previous work concentrated on manipulation of objects possessing a regular surface. On the other hand, industrial parts are most often irregular, possessing ver-tices and edges. In this paper we present ...

Separation is a famous principle and separation properties are important for optimization theory and various applications. In practice, input data are rarely known exactly and it is advisable to deal with parameters. In this article, we are concerned with the basic characteristics (existence, description, stability etc.) of separating hyperplanes of two convex polyhedral sets depending on param...