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Stability of the Replicator Equation for a Single-Species with a Multi-Dimensional Continuous Trait Space

Cressman, Ross; Hofbauer, Josef; Riedel, Frank - University of Bonn, Germany - 2005

initial normal trait distributions, it is shown that the multi-dimensional CSS (Continuously Stable Strategy) of adaptive … general fitness functions and trait distributions, the CSS is related to dominance solvability which can be used to … characterize local stability for a large class of trait distributions that have no gaps in their supports whereas the stronger NIS …

Persistent link: https://www.econbiz.de/10004989631

Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space

Cressman, Ross - In: International Journal of Game Theory 38 (2009) 2, pp. 221-247

Persistent link: https://www.econbiz.de/10004995465

Evolution in games with a continuous action space

Veelen, Matthijs; Spreij, Peter - In: Economic Theory 39 (2009) 3, pp. 355-376

Persistent link: https://www.econbiz.de/10005596721

Evolution in Games with a Continuous Action Space

Veelen, Matthijs van - Tinbergen Instituut - 2001

This discussion paper resulted in a publication in <A href="http://link.springer.com/article/10.1007%2Fs00199-008-0338-8">'Economic Theory'</A>, 2009, 39(3), 355-376. Allowing for games with a continuous action space, we deal with the question whether and when static conceptslike evolutionary stability can shed any light on what happens in the dynamical context of a...</a>

Persistent link: https://www.econbiz.de/10011256428

Continuity of the payoff functions

Muir, Allan; Glycopantis, Dionysius - In: Economic Theory 16 (2000) 1, pp. 239-244

In his Nash equilibrium paper, Glicksberg states that the payoff functions are continuous. Such a function is defined on the product of mixed strategies, which are the Borel probability measures on a compactum, endowed with the product of the weak topologies. The continuity property is used in...

Persistent link: https://www.econbiz.de/10005370717

Weak topology and infinite matrix games

Mendez-Naya, Luciano - In: International Journal of Game Theory 27 (1998) 2, pp. 219-229

This paper approaches infinite matrix games through the weak topology on the players' sets of strategies. A new class of semi-infinite and infinite matrix games is defined, and it is proved that these games always have a value and optimal strategies for each player. Using these games it is...

Persistent link: https://www.econbiz.de/10005755720

Compactness in Spaces of Inner Regular Measures and a General Portmanteau Lemma

Krätschmer, Volker - Sonderforschungsbereich 649: Ökonomisches Risiko, … - 2006

This paper may be understood as a continuation of Topsøe’s seminal paper ([16]) to characterize, within an abstract setting, compact subsets of finite inner regular measures w.r.t. the weak topology. The new aspect is that neither assumptions on compactness of the inner approximating lattices...

Persistent link: https://www.econbiz.de/10005677923

Singularly Perturbed Markov Chains: Convergence and Aggregation

Yin, G.; Zhang, Q.; Badowski, G. - In: Journal of Multivariate Analysis 72 (2000) 2, pp. 208-229

Asymptotic properties of singularly perturbed Markov chains having measurable and/or continuous generators are developed in this work. The Markov chain under consideration has a finite-state space and is allowed to be nonstationary. Its generator consists of a rapidly varying part and a slowly...

Persistent link: https://www.econbiz.de/10005021357

Infinite Portfolio Strategies

LeRoy, Stephen F. - In: Contemporary Economics 6 (2012) 4, pp. 54-60

In continuous-time stochastic calculus a limit in probability is used to extend the definition of the stochastic integral to the case where the integrand is not square-integrable at the endpoint of the time interval under consideration. When the extension is applied to portfolio strategies,...

Persistent link: https://www.econbiz.de/10010436017

Compactness in spaces of inner regular measures and a general Portmanteau lemma

Krätschmer, Volker - 2006

The new aspect is that neither assumptions on compactness of the inner approximating lattices nor nonsequential continuity properties for the measures will be imposed. As a providing step also a generalization of the classical Portmanteau lemma will be established. The obtained characterizations...

Persistent link: https://www.econbiz.de/10010263662

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