Practical application of matching algorithms in case of a task allocation problem
Abstract
Conflicts between individuals or even groups of people are part of everyday social life. However, when handling conflict situations successfully, conflicts are actually solved. In order to achieve such resolution, parties should separate the conflict from the involved people and try to create a cooperative, nonzero-sum mind set concentrating on interests and not on positions agreeing on principles like using a fair standard and a fair procedure. In present paper such impartial standards and procedures - namely matching theory algorithms - that concentrate on factual controversies are introduced.
References
Abdulkadiroğlu, A., Pathak, P.A., Roth, A.E., & Sönmez, T. (2005). The Boston public school match, American Economic Review, 95, 368–371.
Abdulkadiroğlu, A., & Sönmez, T. (2003). School choice: A mechanism design approach. American Economic Review, 93, 729–747.
Balinski, M., & Sönmez, T. (1999). A tale of two mechanisms: Student placement. Journal of Economic Theory, 84, 73–94.
Cahn, D.D., & Abigail, R.A. (2013). Managing Conflict Through Communication 5th Edition, Boston, MA: Pearson.
Coser, L. (1956). The Functions of Social Conflict, Glencoe, IL: Free Press.
Coser, L.A. (1957). Social Conflict and the Theory of Social Change. The British Journal of Sociology, 8 (3), 197-207.
Deutsch, M. (1977). The resolution of conflict: Constructive and destructive processes. Yale University Press.
Ergin, H., & Sönmez, T. (2006). Games of school choice under the boston mechanism. Journal of Public Economics, 90, 215–237.
Gale, D., & Shapley, L.S. (1962). College admissions and stability of marriage. American Mathematical Monthly, 69, 9–15.
Glazerman, S., & Meyer, R.H. (1994). Public school choice in Minneapolis. Downes, T.A., Testa, W.A. (in press), Midwest approaches to school reform. Federal Reserve Bank of Chicago, pp. 110–126.
Keith, D.D. (1989). Four Steps to Resolving Conflicts. Quality Progress, 22 (4), 29-33.
March, J.G., & Simon, H.A. (1958). Organizations, Oxford, England: Wiley.
Szikora, P. (2014). Allocating time-bound tasks – an application of matching theory, SEFBIS Journal 2014 (in press).
Tedeschi, J.T., Schlenker, B.R., & Bonoma, T.V. (1973). Conflict, power, and games: The experimental study of interpersonal relations, Chicago, 111.: Aldine.
Wilmot, W.W., & Hocker, J.L. (2007). Interpersonal Conflict, New York, NY: McGraw Hill.
The Author wishes to submit the Work to SJM for publication. To enable SJM to publish the Work and to give effect to the parties’ intention set forth herein, they have agreed to cede the first right to publication and republication in the SJM Journal.
Cession
The Author hereby cedes to SJM, who accepts the cession, to the copyright in and to the paper.
The purpose of the cession is to enable SJM to publish the Work, as first publisher world-wide, and for republication in the SJM Journal, and to grant the right to others to publish the Work world-wide, for so long as such copyright subsists;
SJM shall be entitled to edit the work before publication, as it deems fit, subject to the Authors approval
The Author warrants to SJM that:
- the Author is the owner of the copyright in the Work, whether as author or as reassigned from the Author’s employee and that the Author is entitled to cede the copyright to SJM;
- the paper (or any of its part) is not submitted or accepted for publication in any other Journal;
- the Work is an original work created by the Author;
- the Author has not transferred, ceded, or assigned the copyright, or any part thereof, to any third party; or granted any third party a licence or other right to the copyright, which may affect or detract from the rights granted to SJM in terms of this agreement.
The Author hereby indemnifies the SJM as a body and its individual members, to the fullest extent permitted in law, against all or any claims which may arise consequent to the warranties set forth.
No monetary consideration shall be payable by SJM to the Author for the cession, but SJM shall clearly identify the Author as having produced the Work and ensure that due recognition is given to the Author in any publication of the Work.
Should SJM, in its sole discretion, elect not to publish the Work within 1 year after the date of this agreement, the cession shall lapse and be of no further effect. In such event the copyright shall revert to the Author and SJM shall not publish the Work, or any part thereof, without the Author’s prior written consent.