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research-article

A class of games possessing pure-strategy Nash equilibria

Published: 01 December 1973 Publication History

Abstract

A class of noncooperative games (of interest in certain applications) is described. Each game in the class is shown to possess at least one Nash equilibrium in pure strategies.

References

[1]
Charnes, A., andW. Cooper: Management Models and Industrial Applications of Linear Programming vol. II, John Wiley and Sons, New York, 1961, pp. 785–797.
[2]
Rosenthal, R.: “The Network Equilibrium Problem in Integers”, forthcoming in Networks.

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  • (2024)Equilibrium computation in multidimensional congestion gamesProceedings of the Fortieth Conference on Uncertainty in Artificial Intelligence10.5555/3702676.3702758(1751-1779)Online publication date: 15-Jul-2024
  • (2024)Pure Nash Equilibria in Weighted Congestion Games with Complementarities and BeyondProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3663205(2495-2497)Online publication date: 6-May-2024
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Information & Contributors

Information

Published In

cover image International Journal of Game Theory
International Journal of Game Theory  Volume 2, Issue 1
Dec 1973
265 pages

Publisher

Physica-Verlag GmbH

Germany

Publication History

Published: 01 December 1973

Author Tags

  1. Nash Equilibrium
  2. Economic Theory
  3. Game Theory
  4. Pure Strategy
  5. Noncooperative Game

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Cited By

View all
  • (2025)Fair Ride Allocation on a LineACM Transactions on Economics and Computation10.1145/3708491Online publication date: 4-Jan-2025
  • (2024)Equilibrium computation in multidimensional congestion gamesProceedings of the Fortieth Conference on Uncertainty in Artificial Intelligence10.5555/3702676.3702758(1751-1779)Online publication date: 15-Jul-2024
  • (2024)Pure Nash Equilibria in Weighted Congestion Games with Complementarities and BeyondProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3663205(2495-2497)Online publication date: 6-May-2024
  • (2024)Computing Nash Equilibria in Multidimensional Congestion GamesProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3663143(2309-2311)Online publication date: 6-May-2024
  • (2024)Nash Stability in Hedonic Skill GamesProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3662923(706-714)Online publication date: 6-May-2024
  • (2024)On Green Sustainability of Resource Selection Games with Equitable Cost-SharingProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3662868(207-215)Online publication date: 6-May-2024
  • (2024)Equilibria in two-stage facility location with atomic clientsProceedings of the Thirty-Third International Joint Conference on Artificial Intelligence10.24963/ijcai.2024/315(2842-2850)Online publication date: 3-Aug-2024
  • (2024)Learning coalition structures with gamesProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i9.28856(9944-9951)Online publication date: 20-Feb-2024
  • (2024)Computing nash equilibria in potential games with private uncoupled constraintsProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i9.28848(9874-9882)Online publication date: 20-Feb-2024
  • (2024)Enhancing the efficiency of altruism and taxes in affine congestion games through signallingProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i9.28806(9511-9518)Online publication date: 20-Feb-2024
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