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/or biological traits, and identify through four decisive examples, essentially based on a matching-pennies type game, pathologies … arising from the use of a Lebesgue interval for playerʼs names. In a sufficiently general context of traits and actions, we … existence and upper hemi-continuity of pure-strategy Nash equilibria in large games with traits. We illustrate the idealized …
Persistent link: https://www.econbiz.de/10011043030
A comprehensive theory of large strategic games with (socioeconomic and biological) traits (LSGT) has recently been … with traits (LDGT). In addition to a generalization of work initiated and advocated by Mas-Colell (1984), we delineate the …
Persistent link: https://www.econbiz.de/10010587670
A comprehensive theory of large strategic games with (socioeconomic and biological) traits (LSGT) has recently been … presented in Khan et al. (2012, 2013), and we present a reformulation pertaining to large distributional games with traits (LDGT). …
Persistent link: https://www.econbiz.de/10011041659
This paper demonstrates the class of atomless spaces that accurately models the space of players in a large game which represents an idealized limit of a sequence of finite-player games. Through two examples, we show that arbitrary atomless probability spaces, in particular, the Lebesgue unit...
Persistent link: https://www.econbiz.de/10010930794
In this paper, I characterize point-rationalizability in large non-anonymous games with three dierent formulations of societal responses, and also propose an implicit dynamic process that is informed by Guesnerie's eductive notions. Given the introspection and 'mentalizing' that the...
Persistent link: https://www.econbiz.de/10010563953
This paper elucidates the conceptual role that independent randomization plays in non-cooperative game theory. In the context of large (atomless) games in normal form, we present precise formalizations of the notions of a mixed strategy equilibrium (MSE), and of a randomized strategy equilibrium...
Persistent link: https://www.econbiz.de/10011145591
We give a functional description of the space of stochastic integrals with respect to a given family of martingales, based on the notion of direct integral of Hilbert spaces. We define the multiplicity function of a filtration and show, using our Hilbert space construction, that the multiplicity...
Persistent link: https://www.econbiz.de/10012730497
This paper constructs a model of an exchange economy in which bankruptcy arises in a manner similar to what we observe. Compared to related models, this model is a more realistic representation of some markets in which intertemporal assets are traded. Using standard and natural assumptions, it...
Persistent link: https://www.econbiz.de/10012785615
We consider a model with an finite number of states of nature where short sells are allowed.
Persistent link: https://www.econbiz.de/10010860565
We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional...
Persistent link: https://www.econbiz.de/10010905386