Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research

2013 ◽  
2021 ◽  
pp. 1-22
Author(s):  
Olivier Gergaud ◽  
Victor Ginsburgh ◽  
Juan D. Moreno-Ternero

Abstract The modern era of wine journalism has provided abundant information about wines and widespread use of numerical rating systems. A tiny difference, especially at the top of the distribution of ratings, may have striking consequences on wine sales and investment returns. This article provides a general framework to obtain a consensus among tasters’ opinions (reflected as numerical wine ratings) via three subsequent stages: normalization, approval, and aggregation. It is inspired by contributions in political science, social choice, game theory, and operations research. We apply it to the Judgment of Paris as well as to rank 2018 en-primeur Bordeaux wines, rated by five international experts. (JEL Classifications: C18, L15, L66)


2020 ◽  
Vol 22 (02) ◽  
pp. 2002001
Author(s):  
S. K. Neogy ◽  
R. B. Bapat ◽  
D. Dubey ◽  
T. Parthasarathy

2005 ◽  
Vol 11 (2) ◽  
pp. 211-222
Author(s):  
Philippe Braillard

In the study of international relations, as indeed in all of the social sciences, reflections about the future are becoming increasingly numerous. They indicate frequently moreover a desire for systemization through recourse to rigourous techniques and procedures: the Delphi technique, the construction of scenarios, Systems analysis, operations research, decision matrices, graph theory, game theory, etc. This leads us to conclude often that the forecasting approach in international relations is undergoing a major quantitative and qualitative evolution. We seek to show however in this analysis that, contrary to appearances, forecasting research in international relations is characterized above all today by great epistemological weakness and by a remarkable incoherence, and that it is not therefore, for the most part, equal to its pretensions. We will attempt to determine why this is the case and if this situation is likely to change. In doing so, we will seek to identify both the possibilities and the limits of forecasting in this field.


Author(s):  
E. Parsopoulos Konstantinos ◽  
N. Vrahatis Michael

This chapter is devoted to three representative applications of PSO in operations research. Similarly to the previous chapters, our attention is focused on the presentation of essential aspects rather than reviewing the existing literature. Thus, we present methodologies for formulation of the optimization problem, which is not always trivial, as well as for the efficient treatment of special problem requirements that cannot be handled directly by PSO. Under this prism, we report applications from the fields of scheduling, inventory optimization and game theory. Recent results are also reported per case to provide an idea of the efficiency of PSO.


SERIEs ◽  
2021 ◽  
Author(s):  
Gustavo Bergantiños ◽  
Juan Vidal-Puga

AbstractMinimum-cost spanning tree problems are well-known problems in the operations research literature. Some agents, located at different geographical places, want a service provided by a common supplier. Agents will be served through costly connections. Some part of the literature has focused, mainly, in studying how to allocate the connection cost among the agents. We review the papers that have addressed the allocation problem using cooperative game theory. We also relate the rules defined through cooperative games with rules defined directly from the problem, either through algorithms for computing a minimal tree, either through a cone-wise decomposition.


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