Literature DB >> 9405138

A general technique for computing evolutionarily stable strategies based on errors in decision-making.

J M McNamara1, J N Webb, E J Collins, T Székely, A I Houston.   

Abstract

Realistic models of contests between animals will often involve a series of state-dependent decisions by the contestants. Computation of evolutionarily stable strategies for such state-dependent dynamic games are usually based on damped iterations of the best response map. Typically this map is discontinuous so that iterations may not converge and even if they do converge it may not be clear if the limiting strategy is a Nash equilibrium. We present a general computational technique based on errors in decision making that removes these computational difficulties. We show that the computational technique works for a simple example (the Hawk-Dove game) where an analytic solution is known, and prove general results about the technique for more complex games. It is also argued that there is biological justification for inclusion of the types of errors we have introduced. Copyright 1997 Academic Press Limited.

Mesh:

Year:  1997        PMID: 9405138     DOI: 10.1006/jtbi.1997.0511

Source DB:  PubMed          Journal:  J Theor Biol        ISSN: 0022-5193            Impact factor:   2.691


  11 in total

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4.  Cooperation among non-relatives evolves by state-dependent generalized reciprocity.

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5.  Optimal annual routines: behaviour in the context of physiology and ecology.

Authors:  John M McNamara; Alasdair I Houston
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2008-01-27       Impact factor: 6.237

6.  Learning your own strength: winner and loser effects should change with age and experience.

Authors:  Tim W Fawcett; Rufus A Johnstone
Journal:  Proc Biol Sci       Date:  2010-01-06       Impact factor: 5.349

7.  A quantitative test of Hamilton's rule for the evolution of altruism.

Authors:  Markus Waibel; Dario Floreano; Laurent Keller
Journal:  PLoS Biol       Date:  2011-05-03       Impact factor: 8.029

8.  The effects of dominance on leadership and energetic gain: a dynamic game between pairs of social foragers.

Authors:  Sean A Rands
Journal:  PLoS Comput Biol       Date:  2011-10-20       Impact factor: 4.475

9.  Statistical measures for defining an individual's degree of independence within state-dependent dynamic games.

Authors:  Sean A Rands; Rufus A Johnstone
Journal:  BMC Evol Biol       Date:  2006-10-12       Impact factor: 3.260

10.  The emergence of leaders and followers in foraging pairs when the qualities of individuals differ.

Authors:  Sean A Rands; Guy Cowlishaw; Richard A Pettifor; J Marcus Rowcliffe; Rufus A Johnstone
Journal:  BMC Evol Biol       Date:  2008-02-18       Impact factor: 3.260

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