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Core and equilibria in models of large household economy

Maria Ekes (2003)

Applicationes Mathematicae

The paper deals with models of household economy with infinitely many agents classified into a finite number of types. The notions of competitive equilibrium, core and quasi-core are examined with special emphasis on their mutual relations.

Core equivalence in economy under awareness

Takashi Matsuhisa (2006)

Banach Center Publications

The extended notion of pure exchange economy under uncertainty, called an economy with awareness structure, is presented, where each trader having strictly monotone preferences makes decision under his/her awareness and belief. We show an extension of the core equivalence theorem: The ex-post core coincides with the set of all generalized expectations equilibria in awareness for the economy.

Core solutions and nash equilibria in noncooperative games with a measure space of players

Sjur Didrik Flåm, Andrzej Wieczorek (2006)

Banach Center Publications

The paper deals with noncooperative games in which players constitute a measure space. Strategy profiles that are equal almost everywhere are assumed to have the same interactive effects. Under these circumstances we explore links between core solutions and Nash equilibria. Conditions are given which guarantee that core outcomes must be Nash equilibria and vice versa. The main contribution are results on nonemptieness of the core.

Correlated equilibria in competitive staff selection problem

David M. Ramsey, Krzysztof Szajowski (2006)

Banach Center Publications

This paper deals with an extension of the concept of correlated strategies to Markov stopping games. The Nash equilibrium approach to solving nonzero-sum stopping games may give multiple solutions. An arbitrator can suggest to each player the decision to be applied at each stage based on a joint distribution over the players' decisions. This is a form of equilibrium selection. Examples of correlated equilibria in nonzero-sum games related to the staff selection competition in the case of two departments...

Correspondence analysis and two-way clustering.

Antonio Ciampi, Ana González Marcos, Manuel Castejón Limas (2005)

SORT

Correspondence analysis followed by clustering of both rows and columns of a data matrix is proposed as an approach to two-way clustering. The novelty of this contribution consists of: i) proposing a simple method for the selecting of the number of axes; ii) visualizing the data matrix as is done in micro-array analysis; iii) enhancing this representation by emphasizing those variables and those individuals which are 'well represented' in the subspace of the chosen axes. The approach is applied...

Cost-efficiency in multivariate Lévy models

Ludger Rüschendorf, Viktor Wolf (2015)

Dependence Modeling

In this paper we determine lowest cost strategies for given payoff distributions called cost-efficient strategies in multivariate exponential Lévy models where the pricing is based on the multivariate Esscher martingale measure. This multivariate framework allows to deal with dependent price processes as arising in typical applications. Dependence of the components of the Lévy Process implies an influence even on the pricing of efficient versions of univariate payoffs.We state various relevant existence...

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