Cook and Kress (Cook, Wade D., Moshe Kress. 1985. Ordinal ranking with intensity of preference. Management Sci. 31 (1) 26--32.) present a model for representing ordinal preference rankings, where the voter can express intensity or degree of preference. The consensus of a set of m rankings is...

One of the best known and most widely referenced models for representing ordinal preferences is that due to Kemeny and Snell (Kemeny, J. G., L. J. Snell. 1962. Preference ranking: an axiomatic approach. Mathematical Models in the Social Sciences. Glnn, New York, 9--23.). This model is designed...

This paper examines the problem of rank ordering a set of players or objects on the basis of a set of pairwise comparisons arising from a tournament. The criterion for deriving this ranking is to have as few cases as possible where player i is ranked above j while i was actually defeated by j in...

In conventional ordinal ranking models the voter/ranker supplies an ordered set of preferences on a collection of objects without specifying any form of intensity of preference. For example, an executive committee of ten members is required to assign five candidates to five positions. The nature...

Stockpilers of commodities in short supply must frequently contend with game-theoretic ramifications arising from the fact that unit purchasing cost increases with aggregate requirements. In this paper, a competitive inventory procurement model for countries facing uncertain demand is analyzed...

We study a two-person zero-sum game where players simultaneously choose sequences of actions, and the overall payoff is the average of a one-shot payoff over the joint sequence. We consider the maxmin value of the game played in pure strategies by boundedly rational players and model bounded...

This paper investigates the incentives for cooperation in market surveys among competitive firms. The analysis relies on a game theoretic model. The main conclusion is that the value of information in a competitive market exhibits a sharp decrease as the number of firms that share the...

This paper presents an axiomatic approach to the problem of aggregating expert assessments of an event's probability into some group probability assessment. A multiplicative formula is derived.

A competitive decision support system that has been utilized in a pilot version in a corporate application is described and evaluated. The system is based on the combining of meta-game analysis with a number of mathematical market models. The system facilitates the testing of proposed...

This Note considers the problem of aggregating individual probability estimates of an event to obtain a group estimate. Norman Dalkey has argued that no rigorous theory of probability aggregation is possible for the following reasons: (1) There is no consistent way of aggregating individual...