Abstract
A p-person game in strategic form with player (decision maker) set P = {1, 2,…, p} can be described by an ordered 2p-tuple
where X i is the non-empty strategy set of player i ∈ P and K i : Π pi=1 X i → ℝ is the payoff function of player i, which assigns to each p-tuple x = (x1, x2,…, x p ) of strategies a real number K i (x). A play of such a game proceeds as follows. Eventually after pre-play communication, where no binding agreements can be made, each player i chooses independently of the other players one of his possible strategies, say xi. Then player 1 obtains a payoff K1(x1, x2,…,x p ),…, and player p a payoff K p (x1, x2,…,xp). The p-tuple (x1, x2,…, x p ) is called the outcome of the play.
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© 2003 Hindustan Book Agency
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Tijs, S. (2003). Games in strategic form. In: Introduction to Game Theory. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-17-0_2
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DOI: https://doi.org/10.1007/978-93-86279-17-0_2
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-37-1
Online ISBN: 978-93-86279-17-0
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