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Tamer Basar - One of the best experts on this subject based on the ideXlab platform.

  • on convergence rate of a continuous time distributed self appraisal model with time varying relative interaction matrices
    Conference on Decision and Control, 2017
    Co-Authors: Tamer Basar
    Abstract:

    This paper studies a recently proposed continuous-time distributed self-appraisal model with time-varying interactions among a network of n individuals which are characterized by a sequence of time-varying relative interaction matrices. The model describes the evolution of the social-confidence levels of the individuals via a reflected appraisal mechanism in real time. We show that when the relative interaction matrices are doubly stochastic, the n individuals' self-confidence levels will all converge to 1/n, which indicates a Democratic State, exponentially fast under appropriate assumptions, and provide an explicit expression for the convergence rate. Numerical examples are provided to verify the theoretical results and to show that when the relative interaction matrices are stochastic (not doubly stochastic), the social-confidence levels of the individuals may not converge to a steady State.

  • on convergence rate of a continuous time distributed self appraisal model with time varying relative interaction matrices
    arXiv: Optimization and Control, 2017
    Co-Authors: Tamer Basar
    Abstract:

    This paper studies a recently proposed continuous-time distributed self-appraisal model with time-varying interactions among a network of $n$ individuals which are characterized by a sequence of time-varying relative interaction matrices. The model describes the evolution of the social-confidence levels of the individuals via a reflected appraisal mechanism in real time. We first show by example that when the relative interaction matrices are stochastic (not doubly stochastic), the social-confidence levels of the individuals may not converge to a steady State. We then show that when the relative interaction matrices are doubly stochastic, the $n$ individuals' self-confidence levels will all converge to $1/n$, which indicates a Democratic State, exponentially fast under appropriate assumptions, and provide an explicit expression of the convergence rate.

  • on a modified degroot friedkin model of opinion dynamics
    Advances in Computing and Communications, 2015
    Co-Authors: Ji Liu, Tamer Basar
    Abstract:

    This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin model which allows individuals to update their self-confidence levels by only interacting with their neighbors and in particular, the modified model allows the update of self-confidence levels to take place in finite time without waiting for the opinion process to reach a consensus on any particular issue. We study properties of this Modified DeGroot-Friedkin model and compare the associated equilibria and stability with those of the original DeGroot-Friedkin model. Specifically, for the case when the interaction matrix is doubly stochastic, we show that for the modified model, the vector of individuals' self-confidence levels converges to a unique nontrivial equilibrium which for each individual is equal to 1 over n, where n is the number of individuals. This implies that eventually individuals reach a Democratic State.

  • on a modified degroot friedkin model of opinion dynamics
    arXiv: Optimization and Control, 2015
    Co-Authors: Ji Liu, Tamer Basar
    Abstract:

    This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin model which allows individuals to update their self-confidence levels by only interacting with their neighbors and in particular, the modified model allows the update of self-confidence levels to take place in finite time without waiting for the opinion process to reach a consensus on any particular issue. We study properties of this Modified DeGroot-Friedkin model and compare the associated equilibria and stability with those of the original DeGroot-Friedkin model. Specifically, for the case when the interaction matrix is doubly stochastic, we show that for the modified model, the vector of individuals' self-confidence levels asymptotically converges to a unique nontrivial equilibrium which for each individual is equal to 1/n, where n is the number of individuals. This implies that eventually, individuals reach a Democratic State.

Ji Liu - One of the best experts on this subject based on the ideXlab platform.

  • on a modified degroot friedkin model of opinion dynamics
    Advances in Computing and Communications, 2015
    Co-Authors: Ji Liu, Tamer Basar
    Abstract:

    This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin model which allows individuals to update their self-confidence levels by only interacting with their neighbors and in particular, the modified model allows the update of self-confidence levels to take place in finite time without waiting for the opinion process to reach a consensus on any particular issue. We study properties of this Modified DeGroot-Friedkin model and compare the associated equilibria and stability with those of the original DeGroot-Friedkin model. Specifically, for the case when the interaction matrix is doubly stochastic, we show that for the modified model, the vector of individuals' self-confidence levels converges to a unique nontrivial equilibrium which for each individual is equal to 1 over n, where n is the number of individuals. This implies that eventually individuals reach a Democratic State.

  • on a modified degroot friedkin model of opinion dynamics
    arXiv: Optimization and Control, 2015
    Co-Authors: Ji Liu, Tamer Basar
    Abstract:

    This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin model which allows individuals to update their self-confidence levels by only interacting with their neighbors and in particular, the modified model allows the update of self-confidence levels to take place in finite time without waiting for the opinion process to reach a consensus on any particular issue. We study properties of this Modified DeGroot-Friedkin model and compare the associated equilibria and stability with those of the original DeGroot-Friedkin model. Specifically, for the case when the interaction matrix is doubly stochastic, we show that for the modified model, the vector of individuals' self-confidence levels asymptotically converges to a unique nontrivial equilibrium which for each individual is equal to 1/n, where n is the number of individuals. This implies that eventually, individuals reach a Democratic State.

Francesco Trebbi - One of the best experts on this subject based on the ideXlab platform.

  • a theory of minimalist democracy
    2014
    Co-Authors: Chris Bidner, Patrick Francois, Francesco Trebbi
    Abstract:

    A majority of the world democracies are far from the benchmark of representative democracy. This paper presents a model of political transitions based on a minimalist conception of the Democratic State, i.e. a form of government solely characterized by competitive elections. We show that the model can produce dynamics of transition into democracy without requiring any role for redistribution or representation of voters, but solely based on interactions among the ruling elites. This allows the model to match several relevant stylized facts concerning the organization of new and consolidating democracies, weakly institutionalized countries, and hybrid regimes.Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.

  • a theory of minimalist democracy
    National Bureau of Economic Research, 2014
    Co-Authors: Chris Bidner, Patrick Francois, Francesco Trebbi
    Abstract:

    A majority of the world democracies are far from the benchmark of representative democracy. This paper presents a model of political transitions based on a minimalist conception of the Democratic State, i.e. a form of government solely characterized by competitive elections. We show that the model can produce dynamics of transition into democracy without requiring any role for redistribution or representation of voters, but solely based on interactions among the ruling elites. This allows the model to match several relevant stylized facts concerning the organization of new and consolidating democracies, weakly institutionalized countries, and hybrid regimes.

Sergei Reshetnyak - One of the best experts on this subject based on the ideXlab platform.

Horst Eidenmueller - One of the best experts on this subject based on the ideXlab platform.

  • codetermination and the Democratic State
    Social Science Research Network, 2020
    Co-Authors: Jens Dammann, Horst Eidenmueller
    Abstract:

    Two prominent progressive senators, Bernie Sanders and Elizabeth Warren, have recently proposed that employees should be allowed to elect 40 to 45 percent of the directors of large corporations. If implemented, such a reform would bring U.S. corporate law substantially closer to European countries like Denmark, Germany, and Sweden, where worker codetermination has long been a central feature of corporate governance. An extensive body of theoretical and empirical scholarship analyzes codetermination’s economic impact on corporations and their employees. This Article focuses on a different issue. It examines codetermination’s potential for protecting our democracy against the dangers inherent in the accumulation of extreme wealth and power by private corporations. Concentrated corporate wealth creates the risk that corporations will use their resources to undermine Democratic institutions. This Article argues that codetermination can mitigate this risk by splitting corporate voting rights between shareholders and employees, thereby playing a role that is broadly similar to that of the Constitutional separation of powers.