It really depends on what you mean by the valuation of a negotiation. The material here is certainly applicable to such problems, and they may lead you to more specific references that suit you.
Cooperative games look at equilibrium outcomes when 2 or more agents can credibly commit to cooperation. Far more interesting are non-cooperative games, where cooperation still happens, but only as the result of individual optimisation.
From what you said earlier it seems you would find the classic 2 player non-cooperative games (prisoner's dilemma et al) useful, as well as a look at some of the material on Nash bargaining between 2 individuals. It strikes me that it would be easy to assign an expected payoff on the 2 players (you can easily use a distribution if you want) should arbitration be forced, and hence see whether there is a sustainable Nash bargain that yields a higher payoff. This will depend on the relative bargaining power, the expected payoffs should negotiation be successful, and how you model the dynamics. It is far easier for non-cooperative collusion to arise if there is a repeated element to the game.
Let me know how you get on.
Cooperative games look at equilibrium outcomes when 2 or more agents can credibly commit to cooperation. Far more interesting are non-cooperative games, where cooperation still happens, but only as the result of individual optimisation.
From what you said earlier it seems you would find the classic 2 player non-cooperative games (prisoner's dilemma et al) useful, as well as a look at some of the material on Nash bargaining between 2 individuals. It strikes me that it would be easy to assign an expected payoff on the 2 players (you can easily use a distribution if you want) should arbitration be forced, and hence see whether there is a sustainable Nash bargain that yields a higher payoff. This will depend on the relative bargaining power, the expected payoffs should negotiation be successful, and how you model the dynamics. It is far easier for non-cooperative collusion to arise if there is a repeated element to the game.
Let me know how you get on.
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