Binary action games: deviation properties, semi-strict equilibria and potentials. (English) Zbl 1419.91017
Summary: For binary action games we present three properties which have in common that they are defined by conditions on marginal payoffs. The first two properties guarantee the existence of a special type of Nash equilibrium called semi-strict Nash equilibrium, for which we also show an algorithm to locate. The third one guarantees the existence of an exact potential, and can realize the aforementioned two properties in a class of exact potential games. The first one guarantees the existence of a generalized ordinal potential. Each symmetric binary action game possesses all the three properties. The results are illustrated by three applications.
MSC:
| 91A10 | Noncooperative games |
Keywords:
binary action game; cartel game; internal and external stability; market entry game; Nash equilibrium; potential game; symmetric gameReferences:
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