Geodesic
The Boltzmann distribution in the problem of rational choice by population of a patch under an imperfect information about its resources
Modelirovanie i analiz informacionnyh sistem, Tome 30 (2023) no. 3, pp. 234-245

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of rational choice by the population of a patch containing energy (nutritive) resources is considered. This problem belongs to the theory of optimal foraging, which, in turn of, studies issues related to the behavior of the population when it leaves the patch or chooses the most suitable one. In order to define the optimal patch choice for population, a variational approach, based on the idea of the Boltzmann distribution is proposed. To construct the probability distribution the utility functions are used, that take into account factors that can influence the patch choice of a population: available information about the quality of patches, the energy utility of patches, the cost of moving to the patch, the cost of information about the quality of patches. The main goal of the paper is to investigate the influence of available information about the amount of resources, contained in patches, on a decision-making process generated by the foragers while a suitable patch choosing. The optimal rationality is determined in the cases taking into account the information cost, the average energy utility of all patches, the rationality depending on the patch. The conditions under which the population, with the lack of information, select the “poor” patch, in sense of its resources, are obtained. The latter provides a theoretical justification of experimental observations, according to which a population can choose a patch with worse quality. The obtained results have a general character and may be used not only in behavioral ecology but when constructing any decision making processes.
Keywords: Boltzmann distribution, rationality of choice, measure of awareness, information cost, utility function. 
@article{MAIS_2023_30_3_a3,
     author = {A. N. Kirillov and I. V. Danilova},
     title = {The {Boltzmann} distribution in the problem of rational choice by population of a patch under an imperfect information about its resources},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {234--245},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2023_30_3_a3/}
}
TY  - JOUR
AU  - A. N. Kirillov
AU  - I. V. Danilova
TI  - The Boltzmann distribution in the problem of rational choice by population of a patch under an imperfect information about its resources
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2023
SP  - 234
EP  - 245
VL  - 30
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2023_30_3_a3/
LA  - en
ID  - MAIS_2023_30_3_a3
ER  - 
%0 Journal Article
%A A. N. Kirillov
%A I. V. Danilova
%T The Boltzmann distribution in the problem of rational choice by population of a patch under an imperfect information about its resources
%J Modelirovanie i analiz informacionnyh sistem
%D 2023
%P 234-245
%V 30
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2023_30_3_a3/
%G en
%F MAIS_2023_30_3_a3
A. N. Kirillov; I. V. Danilova. The Boltzmann distribution in the problem of rational choice by population of a patch under an imperfect information about its resources. Modelirovanie i analiz informacionnyh sistem, Tome 30 (2023) no. 3, pp. 234-245. http://geodesic.mathdoc.fr/item/MAIS_2023_30_3_a3/