We introduce a class of financial contracts involving several parties byextending the notion of a two-person game option (see Kifer (2000)) to acontract in which an arbitrary number of parties is involved and each of themis allowed to make a wide array of decisions at any time, not restricted tosimply `exercising the option'. The collection of decisions by all parties thendetermines the contract's settlement date as well as the terminal payoff foreach party. We provide sufficient conditions under which a multi-person gameoption has a unique arbitrage price, which is additive with respect to anypartition of the contract.
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