The Hotelling bi-matrix game

P.H.M. van Mouche, Willem Pijnappel

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the pure equilibrium set for a specific symmetric finite game in strategic form, referred to as the Hotelling bi-matrix game. General results tha guarantee non-emptiness of this set (for all parametric values) do not seem to exist. We prove non-emptiness by determining the pure equilibrium set. In this proof so-called demi-modality properties of the conditional payoff functions play an important role.
Original languageEnglish
Pages (from-to)187-202
JournalOptimization Letters
Volume12
Issue number1
Early online date2015
DOIs
Publication statusPublished - Jan 2018

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Bimatrix Games
Modality
Game

Keywords

  • bi-matrix game
  • demi-modality
  • hotelling
  • location theory
  • nash equilibrium
  • tarski fixed point theorem

Cite this

van Mouche, P.H.M. ; Pijnappel, Willem. / The Hotelling bi-matrix game. In: Optimization Letters. 2018 ; Vol. 12, No. 1. pp. 187-202.
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The Hotelling bi-matrix game. / van Mouche, P.H.M.; Pijnappel, Willem.

In: Optimization Letters, Vol. 12, No. 1, 01.2018, p. 187-202.

Research output: Contribution to journalArticleAcademicpeer-review

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KW - location theory

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KW - tarski fixed point theorem

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