Abstract
It's considered a multi-item first price closed auction with asymmetric bidders and one seller under competition. This base auction can be modeled as a non-zero sum game with discontinuous payoff functions. It's shown that in this game exist unique Nash equilibrium in mixed strategies when antimonopoly and competition conditions are accomplished. Then it's investigated also a multistage repeated auction with described base auction as a single step. It's derived sufficient conditions when a cooperative cartel solution is time consistent. To construct the imputation in models of profit allocation and to compute transaction (cost allocation as a dual problem) is used the solution of the base auction game.
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