Supermodularity and Supermodular Games
نویسنده
چکیده
IESE Occasional Papers seek to present topics of general interest to a wide audience.
منابع مشابه
Supermodular Games on Social Networks
Cooperative games offer an elegant framework to model cooperation among self-interested agents. A central question of these games is how to distribute the payoff to each player when all players cooperate and derive some benefits. In this work, we consider cooperative transferable utility games where a subset of players can form a coalition if and only if they are connected in the underlying com...
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Supermodular games are an interesting class of games that exhibits strategic complementarity. There are several compelling reasons like existence of pure strategy nash equilibrium, dominance solvability, identical bounds on joint strategy space etc. that make them a strong candidate for game theoretic modeling of economics. Supermodular games give a sound framework for analysis as it is based o...
متن کاملComputing Shapley Value in Supermodular Coalitional Games
Coalitional games allow subsets (coalitions) of players to cooperate to receive a collective payoff. This payoff is then distributed “fairly” among the members of that coalition according to some division scheme. Various solution concepts have been proposed as reasonable schemes for generating fair allocations. The Shapley value is one classic solution concept: player i’s share is precisely equ...
متن کاملThe Supermodularity of the Tax Competition Game
We determine su cient conditions to establish the supermodularity of a n asymmetric country tax competition, when countries maximize their tax revenue. Using a notion of generalized concavity, namelyρ−concavity, we establish that the tax competition game is supermodular when the marginal production function of each country is log-concave and 1/2-convex. Alternative su cient conditions for the s...
متن کاملA necessary and sufficient condition for the convexity in oligopoly games
This paper establishes a necessary and sufficient condition for the convexity (or supermodularity) in oligopoly games. 1999 Elsevier Science B.V. All rights reserved.
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