A game-theoretic model of social adaptation in an infinite population

A. Wieczorek; A. Wiszniewska

Applicationes Mathematicae (1999)

  • Volume: 25, Issue: 4, page 417-430
  • ISSN: 1233-7234

Abstract

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The paper deals with the question of existence and properties of equilibrated distributions of individual characteristics in an infinite population. General game-theoretic methods are applied and special attention is focused on the case of fitness functions depending only on the distance of an individual characteristic from a reference point and from the mean characteristics. Iterative procedures leading to equilibrated distributions are also considered.

How to cite

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Wieczorek, A., and Wiszniewska, A.. "A game-theoretic model of social adaptation in an infinite population." Applicationes Mathematicae 25.4 (1999): 417-430. <http://eudml.org/doc/219216>.

@article{Wieczorek1999,
abstract = {The paper deals with the question of existence and properties of equilibrated distributions of individual characteristics in an infinite population. General game-theoretic methods are applied and special attention is focused on the case of fitness functions depending only on the distance of an individual characteristic from a reference point and from the mean characteristics. Iterative procedures leading to equilibrated distributions are also considered.},
author = {Wieczorek, A., Wiszniewska, A.},
journal = {Applicationes Mathematicae},
keywords = {prey-predator game; social adaptation; equilibrated distribution; infinite population; iterative process},
language = {eng},
number = {4},
pages = {417-430},
title = {A game-theoretic model of social adaptation in an infinite population},
url = {http://eudml.org/doc/219216},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Wieczorek, A.
AU - Wiszniewska, A.
TI - A game-theoretic model of social adaptation in an infinite population
JO - Applicationes Mathematicae
PY - 1999
VL - 25
IS - 4
SP - 417
EP - 430
AB - The paper deals with the question of existence and properties of equilibrated distributions of individual characteristics in an infinite population. General game-theoretic methods are applied and special attention is focused on the case of fitness functions depending only on the distance of an individual characteristic from a reference point and from the mean characteristics. Iterative procedures leading to equilibrated distributions are also considered.
LA - eng
KW - prey-predator game; social adaptation; equilibrated distribution; infinite population; iterative process
UR - http://eudml.org/doc/219216
ER -

References

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  11. [11] D. Schmeidler, Equilibrium points of nonatomic games, J. Statist. Phys. 17 (1973), 295-300. Zbl1255.91031
  12. [12] E. Van Damme, Stability and Perfection of Nash Equilibria, Springer, 1987. Zbl0696.90087
  13. [13] A. Wieczorek, Elementary large games and an application to economies with many agents, report 805, Inst. Computer Sci., Polish Acad. Sci., 1996. 
  14. [14] A. Wieczorek, Simple large games and their applications to problems with many agents, report 842, Inst. Computer Sci., Polish Acad. Sci., 1997. 

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