Evaluation of a Presidential Election Game

1975 ◽  
Vol 69 (3) ◽  
pp. 947-953 ◽  
Author(s):  
Guillermo Owen
Keyword(s):  
Shapley Value ◽  
Presidential Election ◽  
Electoral System ◽  
Point Of View ◽  
Electoral College ◽  
Mathematical Point ◽  
The Shapley Value

The Shapley value of the presidential election “game” is approximated by the method of multilinear extensions; the likely error in this approximation is computed by studying the error in the electoral college game. A comparison with the Banzhaf ratio is also given. The several biases inherent in the electoral system are analyzed from a mathematical point of view. It is shown that the system incorporates a strong bias in favor of the larger states, and a small bias in favor of the smallest states.

Our Bungling Electoral System

1917 ◽  
Vol 11 (4) ◽  
pp. 685-710
Author(s):  
Joseph Cady Allen
Keyword(s):  
House Of Representatives ◽  
Presidential Election ◽  
Majority Vote ◽  
State Legislatures ◽  
Electoral System ◽  
Vice President ◽  
Electoral College ◽  
Present System ◽  
The People

According to popular parlance, we elect a President and vice-president, on the Tuesday following the first Monday of November of each fourth year, by vote of the people. It is well known however that, technically speaking, we do not choose these officers on that day or at any time by popular suffrage. Instead of that, we choose in each state a committee that is called the electoral college; and these electors meet on the second Monday of January and elect the President and vice-president by ballot. The theory of the Constitution is that these electors are not to be pledged or obligated to vote for any particular person, but that they and not the people shall really make the choice.But, practically from the start, and contrary to the expectation of those who framed the Constitution, the choice of President and vice-president was seized by state legislatures and afterwards transferred to the people, through the device of appointing electors that were virtually pledged to designated candidates. So the electoral colleges have failed of their purpose and become a useless complication. And not only are they useless, but objectionable also and dangerous in many and serious ways.This paper will endeavor to show that our present system of presidential election is bad in every step of the process, viz. in a. the appointment of the electors, b. the membership and proceedings of the electoral colleges, c. the count of the vote in congress, d. the interval between the election and the time when the President takes office, and e. the election by the house of representatives in case the electors fail to give a majority vote to any candidate.

scholarly journals Kryzys konstytucyjny w Estonii w 2016 r.

2021 ◽  
Vol 21 (4) ◽  
pp. 65-81
Author(s):  
Grzegorz Zackiewicz ◽  
Keyword(s):  
Political Parties ◽  
21St Century ◽  
Presidential Election ◽  
Electoral System ◽  
Political Life ◽  
Electoral College ◽  
Political Crisis ◽  
Head Of State ◽  
The Republic

By law, the president of modern Estonia is elected indirectly by parliament or, in the absence of a decision in three consecutive votes, by a specially appointed electoral college. In 2016, Estonia experienced an unprecedented political crisis resulting from the impossibility of appointing the head of state according to the procedure specified in the constitution. It was determined both by more general factors related to the electoral system itself, as well as the specificity of Estonia's political life in the second decade of the 21st century. The 2016 presidential election proved to be a complicated game involving major political parties, going well beyond simply appointing a new head of state. The purpose of this article is to discuss the origins, course and immediate effects of these events, culminating in the unexpected election of Kersti Kaljulaid to the office of President of the Republic.

scholarly journals Contact interactions in complex fibrous metamaterials

2021 ◽  
Author(s):  
Mario Spagnuolo ◽  
Antonio M. Cazzani
Keyword(s):  
Strain Energy ◽  
Point Of View ◽  
The Other ◽  
Contact Interactions ◽  
Coupling Term ◽  
Dissipation Potential ◽  
Parallel Fibers ◽  
Mathematical Point

AbstractIn this work, an extension of the strain energy for fibrous metamaterials composed of two families of parallel fibers lying on parallel planes and joined by connective elements is proposed. The suggested extension concerns the possibility that the constituent fibers come into contact and eventually scroll one with respect to the other with consequent dissipation due to friction. The fibers interact with each other in at least three different ways: indirectly, through microstructural connections that could allow a relative sliding between the two families of fibers; directly, as the fibers of a family can touch each other and can scroll introducing dissipation. From a mathematical point of view, these effects are modeled first by introducing two placement fields for the two fiber families and adding a coupling term to the strain energy and secondly by adding two other terms that take into account the interdistance between the parallel fibers and the Rayleigh dissipation potential (to account for friction).

Query Games in Databases

2021 ◽  
Vol 50 (1) ◽  
pp. 78-85
Author(s):  
Ester Livshits ◽  
Leopoldo Bertossi ◽  
Benny Kimelfeld ◽  
Moshe Sebag
Keyword(s):  
Game Theory ◽  
Cooperative Game ◽  
Shapley Value ◽  
Cooperative Game Theory ◽  
The Shapley Value ◽  
Computational Aspects ◽  
Aggregate Query ◽  
Boolean Query

Database tuples can be seen as players in the game of jointly realizing the answer to a query. Some tuples may contribute more than others to the outcome, which can be a binary value in the case of a Boolean query, a number for a numerical aggregate query, and so on. To quantify the contributions of tuples, we use the Shapley value that was introduced in cooperative game theory and has found applications in a plethora of domains. Specifically, the Shapley value of an individual tuple quantifies its contribution to the query. We investigate the applicability of the Shapley value in this setting, as well as the computational aspects of its calculation in terms of complexity, algorithms, and approximation.

scholarly journals A new basis and the Shapley value

2016 ◽  
Vol 80 ◽  
pp. 21-24 ◽  
Author(s):  
Koji Yokote ◽  
Yukihiko Funaki ◽  
Yoshio Kamijo
Keyword(s):  
Shapley Value ◽  
The Shapley Value

COPING WITH UNCERTAINTY IN n-PERSON GAMES

2000 ◽  
Vol 08 (05) ◽  
pp. 503-523 ◽  
Author(s):  
SILVIU GUIASU
Keyword(s):  
Characteristic Function ◽  
Security Council ◽  
Shapley Value ◽  
Statistical Equilibrium ◽  
Individual Rationality ◽  
Von Neumann ◽  
Minimum Deviation ◽  
The Shapley Value ◽  
Un Security Council ◽  
Person Game

A solution of n-person games is proposed, based on the minimum deviation from statistical equilibrium subject to the constraints imposed by the group rationality and individual rationality. The new solution is compared with the Shapley value and von Neumann-Morgenstern's core of the game in the context of the 15-person game of passing and defeating resolutions in the UN Security Council involving five permanent members and ten nonpermanent members. A coalition classification, based on the minimum ramification cost induced by the characteristic function of the game, is also presented.

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