Strategic candidacy for multivalued voting procedures

Article Abstract:

The Dutta, Jackson and Le Breton (DJLeB) framework is extended by allowing the outcome of a voting procedure to be a set of candidates where some or all of the voters have weak preference orderings of the candidates. Any strongly candidate stable voting selection satisfying a weak unanimity condition is characterized by a serial dictatorship when there are atleast three candidates.

Methods, Models, Presidents, Voting, Presidential elections

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The maximal number of pure Nash equilibria

Article Abstract:

The largest sets of pure strategy vectors for open sets of payoffs. The number of pure strategy Nash equilibria can be as many as the number of pure strategy vectors in a normal form game, in which each agent's payoff is never dependent on his choice of strategy. However, such phenomenon is not well supported in an open economy.

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The maximal number of regular totally mixed Nash equilibria

Article Abstract:

There is a maximum number of totally mixed Nash equilibria of a game of strategy. A Nash equilibrium is totally mixed only if no pure strategy is assigned with negative probability. Games with the maximum number can be constructed.

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