Limit properties of power indices in a class of representative systems

1989 ◽  
Vol 18 (4) ◽  
pp. 361-388 ◽  
Author(s):  
S. Muto
Keyword(s):  
Power Indices

Using equations from power indices to analyze figure skating teams

Public Choice ◽  
2017 ◽  
Vol 170 (3-4) ◽  
pp. 231-251 ◽  
Author(s):  
Diana Cheng ◽  
Peter Coughlin
Keyword(s):  
Power Indices ◽  
Figure Skating

Dynamic Programming for Computing Power Indices for Weighted Voting Games with Precoalitions

Games ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 6
Author(s):  
Jochen Staudacher ◽  
Felix Wagner ◽  
Jan Filipp
Keyword(s):  
Dynamic Programming ◽  
Power Indices ◽  
Efficient Computation ◽  
Banzhaf Index ◽  
Weighted Voting ◽  
Computing Power ◽  
Weighted Voting Games ◽  
Voting Games ◽  
Large Numbers ◽  
New Algorithms

We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algorithms for computing the Banzhaf and Shapley–Shubik indices for weighted voting games, we present a framework for fast algorithms for the three most common power indices with precoalitions, i.e., the Owen index, the Banzhaf–Owen index and the symmetric coalitional Banzhaf index, and point out why our new algorithms are applicable for large numbers of players. We discuss implementations of our algorithms for the three power indices with precoalitions in C++ and review computing times, as well as storage requirements.

The Owen and Shapley spatial power indices: A comparison and a generalization

2017 ◽  
Vol 89 ◽  
pp. 10-19 ◽  
Author(s):  
Mathieu Martin ◽  
Zephirin Nganmeni ◽  
Bertrand Tchantcho
Keyword(s):  
Power Indices

scholarly journals Identification of Nepal’s Soft Power

2021 ◽  
Vol 11 ◽  
pp. 49-65
Author(s):  
Binod Khanda Timilsana
Keyword(s):  
Soft Power ◽  
Public Diplomacy ◽  
Process Model ◽  
Power Measurement ◽  
Power Indices ◽  
Political Values ◽  
Hard Power ◽  
Natural Beauty ◽  
The World ◽  
Foreign Policies

Soft power, according to Nye, is a particular power of attraction to a state based on the appeal of its culture, political values, and foreign policies (Nye Jr. 2004, p. 11, 2008, p. 96). In the changing paradigms of state powers from military strength, economic might, political power, technological competency to soft power endeavors, identification of own soft power is the process of measuring own strength. Hard power measures can be observed from out sides as well but soft power potentialities will not appear easily without systematic attempt to expose them in front of international actors. Hard power measurement is easy and more exact than soft power qualities. There are very limited academic attempts visible in identification of Nepal’s soft power. Great soft powers of the world are visible and measurable through soft power indices developed by different think tanks and research agencies. The soft power 30 and Global Soft Power Index are exemplary forums engaged in ranking states in terms of soft powers. Reputation, influence, political values, culture, foreign policies, enterprise, culture, digital, governance, engagements and education are the indicators of soft power. The newly explained taxonomy of soft power includes four subunits of soft power namely resources, instruments, receptions and outcomes. Buddhism is a powerful soft power resource of Nepal. Conflict resolution and peace process model of Nepal is another potential soft power. Culture, engagement in multilateral global and regional forum, natural beauty with the world is highest Mt. Everest, diasporic community of Nepal, social networks, public diplomacy and personal diplomacy are remarkable soft power properties of Nepal. Nonetheless, identification of Nepal’s soft power is in very preliminary phase.

Sign changes of Fourier coefficients of cusp forms supported on prime power indices

2014 ◽  
Vol 10 (08) ◽  
pp. 1921-1927 ◽  
Author(s):  
Winfried Kohnen ◽  
Yves Martin
Keyword(s):  
Positive Integer ◽  
Prime Power ◽  
Fourier Coefficients ◽  
Cusp Forms ◽  
Power Indices ◽  
Hecke Operator ◽  
Sign Changes ◽  
Integral Weight ◽  
Hecke Eigenform ◽  
Almost All

Let f be an even integral weight, normalized, cuspidal Hecke eigenform over SL2(ℤ) with Fourier coefficients a(n). Let j be a positive integer. We prove that for almost all primes p the sequence (a(pjn))n≥0 has infinitely many sign changes. We also obtain a similar result for any cusp form with real Fourier coefficients that provide the characteristic polynomial of some generalized Hecke operator is irreducible over ℚ.

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