We consider two-player random extensive form games where the payoffs at the leaves are independently drawn uniformly at random from a given feasible set C. We study the asymptotic distribution of the subgame perfect equilibrium outcome for binarytrees with increasing depth in various random (or deterministic) assignments of players to nodes. We characterize the assignments under which the asymp...

We study markets in which an auctioneer wishes to assemble a team of agents to accomplish some task. These agents offer fixed services that incur some privately known cost. The auctioneer must select a team, or feasible set of agents, that is capable of performing the task. To this end, he designs a procurement auction in which he solicits bids from the agents and then selects some feasible set...

In the last chapter, we introduced the concept of a basis of a linear program (P) Minimize Z = c T x s.t. Recall that a basis of (P) is a subset B ⊆ {1, 2,. .. , n} of the variables. We also introduced the concepts of a basic solution x B of (P), and a dual basic solution y B associated with B and the dual (D) of (P). We finished by proving Lemma 1 Let B be an arbitrary basis for (P). If B is a...

Let S be a finite set of positive integers. A mixed hypergraph H is a onerealization of S if its feasible set is S and each entry of its chromatic spectrum is either 0 or 1. In [P. Zhao, K. Diao, Y. Chang and K. Wang, The smallest one-realization of a given set II, Discrete Math. 312 (2012) 2946–2951], we determined the minimum number of vertices of a 3-uniform bi-hypergraph which is a one-real...

There are many ways in which a GSS can be used to support group brainstorming. This paper reports the results of an experiment hat manipulated task structure and time structure. Groups electronically brainstormed on intact tasks (where all parts of the task were presented simultaneously) or on partitioned tasks (where three subcategories of the task were presented to the groups). The time perio...

A formal approach to feasible numbers, as well as to middle and small numbers, is introduced, based on ideas of Parikh (1971) and improving his formalization. The \vague" set F of feasible numbers intuitively satisses the axioms 0 2 F , F + 1 F and 2 1000 6 2 F , where the latter is stronger than a condition considered by Parikh, and seems to be treated rigorously here for the rst time. Our tec...

For economies in which the real rate of return on money is too low, the standard prescription is to deflate prices according to the Friedman rule. Implicit in this recommendation is the availability of a lump-sum tax instrument. In this paper, I view lump-sum tax obligations as a form of debt subject to default. While individuals may agree to honor such obligations ex ante, a lack of commitment...

generally, there are four approaches to social phenomena in soial sciences: the agent-based approach, the structural approach, the functional approach, and the critical realistic approach. these approachs, with respect to their specific interpretation of social phenomena, concentrate on the behavior of agents or on the structural charctristics or on both to arriv at explanations. this article i...