A Parametric Simplex Algorithm for Linear Vector Optimization Problems

In this paper, a parametric simplex algorithm for solving linear vector optimization problems (LVOPs) is presented. This algorithm can be seen as a variant of the multi-objective simplex (Evans-Steuer) algorithm [12]. Different from it, the proposed algorithm works in the parameter space and does not aim to find the set of all efficient solutions. Instead, it finds a solution in the sense of Loehne [16], that is, it finds a subset of efficient solutions that allows to generate the whole frontier. In that sense, it can also be seen as a generalization of the parametric self-dual simplex algorithm, which originally is designed for solving single objective linear optimization problems, and is modified to solve two objective bounded LVOPs with the positive orthant as the ordering cone in Ruszczynski and Vanderbei [21]. The algorithm proposed here works for any dimension, any solid pointed polyhedral ordering cone C and for bounded as well as unbounded problems. Numerical results are provided to compare the proposed algorithm with an objective space based LVOP algorithm (Benson algorithm in [13]), that also provides a solution in the sense of [16], and with Evans-Steuer algorithm [12]. The results show that for non-degenerate problems the proposed algorithm outperforms Benson algorithm and is on par with Evan-Steuer algorithm. For highly degenerate problems Benson's algorithm [13] excels the simplex-type algorithms; however, the parametric simplex algorithm is for these problems computationally much more efficient than Evans-Steuer algorithm.Comment: 27 pages, 4 figures, 5 table

Primal and Dual Approximation Algorithms for Convex Vector Optimization Problems

Two approximation algorithms for solving convex vector optimization problems (CVOPs) are provided. Both algorithms solve the CVOP and its geometric dual problem simultaneously. The first algorithm is an extension of Benson's outer approximation algorithm, and the second one is a dual variant of it. Both algorithms provide an inner as well as an outer approximation of the (upper and lower) images. Only one scalar convex program has to be solved in each iteration. We allow objective and constraint functions that are not necessarily differentiable, allow solid pointed polyhedral ordering cones, and relate the approximations to an appropriate \epsilon-solution concept. Numerical examples are provided

On the relationship between tariff levels and the nature of mergers

This paper employs an endogenous merger formation approach in a two-country oligopoly model of trade to examine the international linkages between the nature of mergers and tariff levels. Firms sell differentiated products and compete in a Bertrand fashion in product markets. We find two effects playing key roles in determining equilibrium market structure: the tariff saving effect and the protection gain effect. The balance between these two effects implies that, when foreign country practices free trade, unilateral tariff reduction by a domestic country yields international mergers irrespective of the substitutability levels. By contrast, when foreign tariffs are sufficiently high and products are close substitutes, national mergers obtain in the equilibrium. Therefore, the implications of unilateral trade liberalization on the equilibrium market structure depends on the trade regime in foreign country especially when products are close substitutes. Unlike this asymmetric result of unilateral trade liberalization, we find that when bilateral tariffs are sufficiently low, international mergers arise. These results fit well with the fact that global trade liberalization has been accompanied by an increase in international merger activities. Finally, from a welfare perspective, we show that international mergers are preferable to national mergers and thus social and private merger incentives become aligned together as trade gets bilaterally liberalized.international mergers, national mergers, tariff saving, protection gain

White fantasy, white betrayals:On neoliberal ‘feminism’ in the US presidential election process

No abstract available

Transferential Loss:Unconscious Dynamics of Love, Learning, and Grieving

In this essay, I work with transference as a relational dynamic from psychoanalysis, to analyze love and loss experienced through learning relationships. Transference is the unconscious transfer of emotions from past relationships to present experiences. I explore transference in learning by disclosing my case study of dyadic learning, guided by Indian scholarship about a guru-shishya/teacher-student relationship of hierarchical, processual learning. I discuss the significance of transference for analyzing emotions of this superior-subordinate learning dyad, through my experience of transferential loss. I conceptualize transferential loss as emotions that accompany the loss of a formal, unequal, time-bound teacher-student transference relationship. I analyze this loss by scrutinizing shifting authority dynamics that I encountered with a loved academic guide, or guru. Through surfacing changes in transference and the pain of losing the teacher-student learning, this essay challenges neoliberal approaches to higher education which valorize instrumental and disembodied goals. Transferential loss connects Indian psychoanalysis about dyads and transference to management learning scholarship, including the importance of the unequal guru-shishya conceptualization for critical management education. This essay contributes to psychoanalysis in management scholarship, develops the concept of transference for learning contexts, and offers a case analysis to the management literature on grief, love, and academic self-disclosures

A psychoanalytic probe into Academic Othering of the United States:Defenses of splitting and projection, consequences, and alternatives through emotion work

For this Special Paper Series of Organization, I work with a psychoanalytic perspective to scrutinize organizing processes as critical academics—specifically, unconscious dynamics of responding to US-based social crises. I contend that it is not feasible to organize effectively against the violent hate of right-wing populist movements sustained by Othering without commitment to confronting academics’ individual and collective Othering and defensive processes. These defenses include splitting and projecting onto convenient Others, which can serve performative gratifications. Through analysis of critical academic declarations in 2017, I analyze Academic Othering of the United States. Splitting the United States off as the ‘bad’ Other of the ‘good’ United Kingdom/European Union/non-United States undermines critical analysis and potential for solidarity and relational concern. Without probing these uncomfortable dynamics, we damage opportunities as elite, privileged academics to make a difference for global struggles, and collude in exclusion. Undertaking emotion work on our academic identities to move away from the defense of splitting, and toward nuance with Klein’s depressive position, will support listening to affected voices and extending—not merely performing—concern and care