The relationship between coalition-proof (Nash) equilibria in a normal-form game and those in its subgame is examined. A subgame of a normal-form game is a game in which the strategy sets of all players in the subgame are subsets of those in the normal-form game. In this paper, focusing on a...

We examine a voluntary participation game in public good provision in which each agent has a demand level for the public good. The agent’s demand level is the minimum level of the public good from which she can receive a positive benefit. In this game, there exists a subgame perfect Nash...

In this study, a participation game in a mechanism to implement a public project is considered; in this game, agents decide simultaneously whether they will participate in the mechanism or not. We characterize the sets of participants at strict Nash equilibria, strong equilibria, and...

This paper examines the relationship between coalition-proof Nash equilibria based on different dominance relations. Konishi, Le Breton, and Weber (1999) pointed out that the set of coalition-proof Nash equilibria under weak domination does not necessarily coincide with that under strict...

We provide a model in which upstream producers, whose production cost is quadratic in quantity, sell their products through two distribution channels, a traditional channel and an external retailer. Some producers (called "large" producers) supply to both channels, whereas other producers...