In this paper we give a general method to determine the payoff space, and consequently - in some particular but important cases - the Pareto boundaries, of certain type of normal form game with n-persons having payoff functions of class C1. Specifically, we consider n-person games in which the strategy set of any player is a compact interval of the real line, and in which the payoff functions are C1, in the sense that they are restrictions of C1 functions defined in open neighborhoods of the strategy profile space of the game. We face the problem of determining the payoff space and its Pareto optimal boundaries and, finally, of finding some classical compromise solutions.
Payoff space in C1 games
CARFI', David
2009-01-01
Abstract
In this paper we give a general method to determine the payoff space, and consequently - in some particular but important cases - the Pareto boundaries, of certain type of normal form game with n-persons having payoff functions of class C1. Specifically, we consider n-person games in which the strategy set of any player is a compact interval of the real line, and in which the payoff functions are C1, in the sense that they are restrictions of C1 functions defined in open neighborhoods of the strategy profile space of the game. We face the problem of determining the payoff space and its Pareto optimal boundaries and, finally, of finding some classical compromise solutions.Pubblicazioni consigliate
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