Journal Article Surplus-sharing Local Games in Dynamic Exchange Processes Get access Henry Tulkens, Henry Tulkens CORE, Université Catholique de Louvain Search for other works by this author on: Oxford Academic Google Scholar Shmuel Zamir Shmuel Zamir Hebrew University of Jeruslaem Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 46, Issue 2, April 1979, Pages 305–313, https://doi.org/10.2307/2297053 Published: 01 April 1979 Article history Received: 01 May 1976 Accepted: 01 April 1978 Published: 01 April 1979

IT IS WELL KNOWN that for a finite exchange economy, where preferences are not assumed to be convex, there may be no price or even the core may be empty. For this reason it was proposed to enlarge the set of price and the core by introducing the concepts of equilibrium and core. The existence of approximate for exchange economies, where preferences are not assumed to be convex, has been investigated by R. Starr [6]. He showed that there exists a quasi-equilibrium, provided the number of participants is large enough and there is a bound on the degree of non-convexity [6, p. 30, Assumption D]. In this note we shall show the existence of equilibria (a stronger concept than the one considered by Starr [6, p. 31]) for large economies where the preferences are neither assumed to be convex nor complete. To obtain our result we shall assume that the preferences and the endowments of all participating agents belong to a compact set. In [5] Shapley and Shubik proved that, for a large replica of a given economy with transferable utility, the e-core is nonempty. We shall generalize this result to large economies without transferable utility by using the concept of ?-core as introduced by Kannai [2]. The nonemptiness of the e-core follows easily from the existence of approximate and a relationship between the set of approximate and e-core. The existence of c-core for large economies (with a fixed number of types) can also be deduced from Kannai's Theorem C' [2] in its stronger form (Theorem C in [3]).

We establish the existence of pure strategy equilibria in monotone bidding functions in first-price auctions with asymmetric bidders, interdependent values, and affiliated one-dimensional signals. By extending a monotonicity result due to Milgrom and Weber (1982), we show that single crossing can fail only when ties occur at winning bids or when bids are individually irrational. We avoid these problems by considering limits of ever finer finite bid sets such that no two bidders have a common serious bid, and by recalling that single crossing is needed only at individually rational bids. Two examples suggest that our results cannot be extended to multidimensional signals or to second-price auctions. Copyright The Econometric Society 2004.

In an experiment comparing related two-person bargaining and multiperson market environments in Israel, Japan, the United States, and Yugoslavia, market outcomes converged to equilibrium everywhere, and there were no payoff-relevant differences among countries. However, bargaining outcomes were everywhere different from the equilibrium predictions (both in observed agreements and in the substantial frequency of observed disagreements), and substantial differences were observed among countries. Because of the way the experiment was designed, the fact that the market behavior is the same in all countries supports the hypothesis that the differences in bargaining behavior among countries are not due to differences in languages, currencies, or experiments but may tentatively be attributed to cultural differences.