Guoqiang Tian

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The abstract economy defined by Debreu (1952) generalizes the Nash non-cooperative game in that a player’s strategy set depends on the strategy choices of all the other players. Debreu (1952) proved the existence of equilibrium in abstract economies with finitely many agents, finite dimensional strategy space, and quasi-concave utility functions. Since(More)
This paper investigates the existence of strong Nash equilibria (SNE) in continuous and concave games. We show that the coalition consistence property introduced in the paper, together with the concavity and continuity of payoffs, permits the existence of strong Nash equilibria in games with compact and convex strategy spaces. The coalition consistency(More)
This paper considers double implementation of Walrasian allocations and Lindahl allocations in Nash and strong Nash equilibria for both private and public goods economies when preferences, initial endowments, production technologies, and coalition patterns are all unknown to the designer. It will be noted that the mechanisms presented here are feasible and(More)
This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasiconcavity of functions and convexity or compactness of choice sets. A new condition, called “local dominatedness property”, is shown to be necessary and further, under some mild continuity condition, sufficient for the existence of equilibrium. We(More)
It is well known that a stable matching generally does not exist in markets with couples. We revisit this issue by introducing the notion of semi-stability to handle this situation. We show that there always exists a semi-stable matching for couples markets with strict preferences, and the set of semi-stable matchings can be partitioned into subsets, each(More)
Economic literature in developed countries suggests that demand for alcoholic beverages is sensitive to price, with an estimated price elasticity ranging from -0.38 for beer and -0.7 for liquor. However, few studies have been conducted in developing countries. We employ a large individual-level dataset in China to estimate the effects of price on alcohol(More)
The purpose of this paper is to investigate the informational requirements of resource allocation processes for convex production economies. First, we establish a lower bound of the message space of an informationally decentralized mechanism that realizes Pareto efficient allocations over the class of classical production economies. Then, it is shown that(More)
This paper provides a complete solution to the question of the existence of equilibria in games with general strategy spaces that may be discrete, continuum or non-convex and payoff functions that may be discontinuous and do not have any form of quasi-concavity. We establish a single condition, called recursive diagonal transfer continuity, which is both(More)
This paper deals with the problem of incentive mechanism design in non-convex production economies when production sets and preferences both are unknown to the designer. We consider Nash-implementation of loss-free, average cost, marginal cost, voluntary trading, and quantity-taking pricing equilibrium allocations in economies involving increasing returns(More)