Bimatrix games that include interaction times alter the evolutionary outcome: The Owner-Intruder game

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F19%3A00495257" target="_blank" >RIV/60077344:_____/19:00495257 - isvavai.cz</a>

Alternative codes found

RIV/60076658:12310/19:43899375

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0022519318305095?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022519318305095?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jtbi.2018.10.033" target="_blank" >10.1016/j.jtbi.2018.10.033</a>

Result language

angličtina

Original language name

Bimatrix games that include interaction times alter the evolutionary outcome: The Owner-Intruder game

Original language description

Classic bimatrix games, that are based on pair-wise interactions between two opponents in two different roles, do not consider the effect that interaction duration has on payoffs. However, interactions between different strategies often take different amounts of time. In this article, we further develop a new approach to an old idea that opportunity costs lost while engaged in an interaction affect individual fitness. We consider two scenarios: (i) individuals pair instantaneously so that there are no searchers, and (ii) searching for a partner takes positive time and populations consist of a mixture of singles and pairs. We describe pair dynamics and calculate fitnesses of each strategy for a two-strategy bimatrix game that includes interaction times. Assuming that distribution of pairs (and singles) evolves on a faster time scale than evolutionary dynamics described by the replicator equation, we analyze the Nash equilibria (NE) of the time-constrained game. This general approach is then applied to the Owner--Intruder bimatrix game where the two strategies are Hawk and Dove in both roles. While the classic Owner--Intruder game has at most one interior NE and it is unstable with respect to replicator dynamics, differences in pair duration change this prediction in that up to four interior NE may exist with their stability depending on whether pairing is instantaneous or not. The classic game has either one (all Hawk) or two ((Hawk,Dove) and (Dove,Hawk)) stable boundary NE. When interaction times are included, other combinations of stable boundary NE are possible. For example, (Dove,Dove), (Dove,Hawk), or (Hawk,Dove) can be the unique (stable) NE if interaction time between two Doves is short compared to some other interactions involving Doves.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10602 - Biology (theoretical, mathematical, thermal, cryobiology, biological rhythm), Evolutionary biology

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Theoretical Biology

ISSN

0022-5193

e-ISSN

—

Volume of the periodical

460

Issue of the periodical within the volume

JAN 07

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

262-273

UT code for WoS article

000451107700025

EID of the result in the Scopus database

2-s2.0-85055502480