Decision making beyond arrow's “impossibility theorem,” with the analysis of effects of collusion and mutual attraction

Hindawi Limited - Tập 24 Số 1 - Trang 27-47 - 2009
Hung T. Nguyen1, Olga Kosheleva2, Владик Крейнович3
1Department of Mathematical Sciences; New Mexico State University; Las Cruces NM 88003 USA
2Department of Teacher Education, University of Texas, El Paso, TX 79968, USA
3Department of Computer Science, University of Texas, El Paso, TX 79968, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Nguyen, 2005, Proc Sixth Int Conf Intell Technologies InTech'05, 43

Arrow, 1951, Social choice and individual values

Kleindorfer, 1993, Schoemaker PJH. Decision sciences: An integrated perspective, 10.1017/CBO9781139173537

Luce, 1957, Games and decisions, introduction and critical survey

Myerson, 1991, Game theory. Analysis of conflict

Saari, 2001, Chaotic elections. A mathematician looks at voting

Nash, 1950, The bargaining problem, Econometrica, 28, 155, 10.2307/1907266

Kosheleva, 1978, Probabilistic way to avoid Arrow's paradox, Notices Am Math Soc, 25, A-703

Nguyen, 1999, How to divide a territory? A new simple differential formalism for optimization of set functions, Int J Intell Syst, 14, 223, 10.1002/(SICI)1098-111X(199903)14:3<223::AID-INT1>3.0.CO;2-7

Klir, 1995, Fuzzy sets and fuzzy logic: Theory and applications

Nguyen, 1997, A first course in fuzzy logic

Kosheleva OM, Kreinovich V. On the optimal territory division, Technical Report, Leningrad Technological Center “Informatika,” Leningrad, 1989 (in Russian).

Kreinovich, 1974, Proc 3rd USSR Natl Conf Game Theory, 117

Brams, 1994, Theory of moves

Brams, 1995, An envy-free cake division protocol, Am Math Mon, 102, 9, 10.1080/00029890.1995.11990526

Hill, 2000, Mathematical devices for getting a fair share, Am Sci, 88, 325, 10.1511/2000.29.774

Hively W. Dividing the spoils. Discover, March 1995, pp 49-57.

Roberston, 1998, Natick

Hurwicz L. A criterion for decision-making under uncertainty. Technical Report 355, Cowles Commission, 1952.

Nguyen, 1996, Applications of interval computations, 245, 10.1007/978-1-4613-3440-8_11

Nguyen, 1997, Interval-valued degrees of belief: Applications of interval computations to expert systems and intelligent control, Int J Uncertainty Fuzziness Knowledge-Based Syst (IJUFKS), 5, 317, 10.1142/S0218488597000257

Nguyen, 1997, Applications of continuous mathematics to computer science, 10.1007/978-94-017-0743-5

Beauzamy, 1993, Polynomial factorization: Sharp bounds, efficient algorithms, J Symbolic Comput, 15, 393, 10.1006/jsco.1993.1028

Rapoport, 1956, Some game theoretic aspects of parasitism and symbiosis, Bull Math Biophys, 18

Rapoport A. Strategy and Conscience, New York, 1964.

Becker, 1991, A Treatise on the Family, 10.4159/9780674020665

Bernheim, 1988, Altruism within the family reconsidered: Do nice guys finish last, Am Econ Rev, 78, 1034

Friedman, 1986, Price theory

Hori, 1989, Utility functionals with nonpaternalistic intergerenational altruism, J Econ Theory, 49, 241, 10.1016/0022-0531(89)90080-X

Tipler, 1994, The physics of immortality

Bergstrom, 1989, Love and spaghetti, the opportunity cost of virtue, J Econ Pers, 3, 165, 10.1257/jep.3.2.165

Bergstrom T. Systems of benevolent utility interdependence. Technical Report, University of Michigan, 1991.

Kreinovich V. Paradoxes of love: Game-theoretic explanation. Technical Report UTEP-CS-90-16, University of Texas at El Paso, Department of Computer Science, July 1990.

Harsanyi, 1977, Rational behavior and bargaining equilibrium in games and social situations, 10.1017/CBO9780511571756

Harsanyi, 1982, Utilitarianism and beyond, 39

Putterman, 1986, Peasants, collectives, and choice: Economic theory and Tanzania's villages

Sen, 1966, Labor allocation in a cooperative enterprise, Rev Econ Stud, 33, 361, 10.2307/2974432

Sen, 1970, Collective choice and socieal welfare

Sen, 1984, Resources, values, and development