Arkadi Predtetchinski

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Infinite time horizon stationary cooperative games are considered where at each date the instantaneous NTU-game is determined by the state of nature. The strong sequential core selects those utility streams that no coalition can improve upon by deviating at any moment in time. The main result of the paper states that the strong sequential core is non-empty(More)
It is well-known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pbalancedness due to Billera (SIAM J. Appl. Math. 18 (1970) 567) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural(More)
Our work contributes to the game-theoretic analysis of bargaining by providing additional non-cooperative support to the well-known Nash bargaining solution. In particular, in the present paper we study a model of non-cooperative multilateral bargaining with a very general proposer selection protocol and set of feasible payoffs. In each period of the(More)
We study a process of bargaining over alternatives represented by points in the unit interval. The identity of the proposer is determined by a general Markov process and the acceptance of a proposal requires the approval of it by all the players. We show that for every value of the continuation probability below one the subgame perfect equilibrium in(More)
This paper presents a new extension of the Rubinstein-St̊ahl bargaining model to the case with n players, called sequential share bargaining. The bargaining protocol is natural and has as its main feature that the players’ shares in the cake are determined sequentially. The bargaining protocol requires unanimous agreement for proposals to be implemented.(More)
We adapt the classical core concept to deal with situations involving time and uncertainty. We define the weak sequential core as the set of allocations that are stable against coalitional deviations ex ante, and moreover cannot be improved upon by any coalition after the resolution of uncertainty. We restrict ourselves to credible deviations, where a(More)
Dynamic exchange economies with uncertainty are considered in which information is released over in nite time. The strong sequential core of such an economy consists of those consumption processes where no coalition of agents wishes to deviate at any moment for the rest of time. Comparable to the optimality principle in dynamic programming, necessary and(More)
I consider n–person normal form games where the strategy set of every player is a non–empty compact convex subset of Euclidean space, and the payoff function of player i is continuous and concave in player i’s own strategies. No further restrictions (such as multilinearity of the payoff functions or the requirement that the strategy sets be polyhedral) are(More)
The seminal contribution of Debreu-Scarf [4] connects the two concepts of core and competitive equilibrium in exchange economies. In effect, their core-equilibrium equivalence result states that, when the set of economic agents is replicated, the set of core allocations of the replica economy shrinks to the set of competitive allocations. Florenzano [6](More)