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Effectivity functions in social choice
1. Introduction.- 1. Collective decisions and power structure.- 2. Social choice.- 3. Games and game forms.- 4. The effectivity functions of a game form.- 5. Effectivity functions and cooperativeExpand
Existence of equilibrium actions and of equilibrium: A note on the ‘new’ existence theorems
Abstract A lemma by Ky Fan, which asserts the existence of a maximal element relative to some ordering (an equilibrium action) in a compact choice set, is extended to a larger class of orderings.Expand
The core of a cooperative game without side payments
For cooperative games without side payments, there are several types of conditions which guarantee nonemptiness of the core, for example balancedness and convexity. In the present paper, a generalExpand
On the Maximal Number of Nash Equilibria in ann × nBimatrix Game
Abstract In 7 it was shown that for each odd number y  ≤ 2 n  − 1, there is an n  ×  n bimatrix game with exactly y Nash equilibria, and it was conjectured that the number 2 n  − 1 is an upper boundExpand
Necessary and sufficient conditions for stability of effectivity functions
An effectivity functionE assigns to every coalitionS of players a familyE (S) of subsetsB of an outcome setA such thatS can force the outcome to belong to any of the setsB inE (S). The effectivityExpand
An axiomatic characterization of efficiency indices
Abstract An input efficiency index gives a numerical assessment of the degree to which a given input combination falls short of being efficient. A family of axioms are presented which, depending onExpand
On the Functional Form of an Efficiency Index
An input efficiency index gives a numeric assessment of the degree to which a given input combination falls short of being efficient in producing a fixed amount of output. This paper presents aExpand
The Extended Core of a Cooperative NTU Game
We propose an extension of the extended core of NTU games from its domain to a larger set of games satisfying a few conditions of well-behavedness. Expand
On the existence of equilibrium in social systems with coordination
Abstract Social systems with coordination were introduced by Vind (1983) as a general model of economic institutions. The present paper gives a general existence theorem for equilibria in socialExpand
Economics of Banking
1. Why are there Banks? 2. The Business Lines of a Bank 3. Basic Concepts of Risk Management 4. Market Risk and Value at Risk Analysis 5. The Loan Contract 6. Credit Rationing 7. Credit Risk 8.Expand